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Theoretical and Experimental Evidence of Macroscopic Entanglement Between Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications

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Abstract

Entanglement has been described as excess correlation between separated parts of a quantum system that may exceed the boundaries of light velocity across space and time. The concept of macroscopic entanglement is considered an emergent condition of microscopic or quantum entanglement such that functional relationships between electron spin, orbital time and photon movements allow an interface with biological systems, particularly brain activity and function. Quantitative evidence is provided for such macroentanglement and discussed with respect to consciousness and electromagnetic fields, photon emissions from the human brain and geomagnetically based contributions, where quantitative convergence suggests processes associated with thinking could be linked to intrinsic characteristics of the electron from which quantum entanglement would emerge.
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
785
Focus Issue: Quantum Brain/Mind/Consciousness 2010 (Part I)
Article
Theoretical and Experimental Evidence of Macroscopic Entanglement
Between Human Brain Activity and Photon Emissions: Implications for
Quantum Consciousness and Future Applications
Michael A. Persinger* & Christina F. Lavallee
Consciousness Research Laboratory, Behavioural Neuroscience & Biomolecular Sciences Programs
Laurentian University, Sudbury, Ontario Canada P3E 2C6
ABSTRACT
Entanglement has been described as excess correlation between separated parts of a quantum system
that may exceed the boundaries of light velocity across space and time. The concept of macroscopic
entanglement is considered an emergent condition of microscopic or quantum entanglement such that
functional relationships between electron spin, orbital time and photon movements allow an interface
with biological systems, particularly brain activity and function. Quantitative evidence is provided for
such macroentanglement and discussed with respect to consciousness and electromagnetic fields,
photon emissions from the human brain and geomagnetically based contributions, where quantitative
convergence suggests processes associated with thinking could be linked to intrinsic characteristics of
the electron from which quantum entanglement would emerge.
Key Words: entanglement, consciousness, photons, electromagnetic fields, brain function, quantification,
cosmology.
1. Introduction
That two particles, once proximal or identities, maintain a functional instantaneous connection within the
maximum range of space and time challenges the implicit boundaries that define cause-effect models.
     
linking the particles together. Entanglement has been considered an application of the superposition
principle to a composite system consisting of two or more subsystems (Aczel, 2002). This principle
effectively defines emergent properties because a new state (A+B) shares some of the properties from
each of the two states (A, B). If the two states are locations, then the new state has something in common
with each location.
According to Bohr (1958), the simultaneous emission of two particles with opposite spin from an atom
produces a condition such that altering the spin of one instantaneously reverses the spin of the other no
matter what the distance. Entanglement is associated with non-locality that has been described by Cramer
(1997) as enforced correlation between separated parts of a quantum system that are outside of the
boundaries of light velocity across space and time to ensure the parts of the system maintain equilibrium.
It might even be considered as a trans-   
forc
*Corresponding author: Michael A. Persinger E-mail: mpersinger@laurentian.com
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
786
In this paper the concept of macroentanglement is considered as an emergent condition of quantum
entanglement. The definition is the same as for (micro)entanglement except that it is applied to larger
aggregates of space sufficient to contain living systems. The human brain can be considered a large

vity of a single cortical neuron can modify this state (Cheng-yu
et al, 2009). Two brains with histories of space-time proximity, such that a system is created, might be
entangled by processes as quantifiable and as experimentally reproducible as those displayed by pairs of
particles.
2. Brain-Particle Entanglement
2.1 The Bohr Magneton Connection
The first step to establishing either a similarity of process or even some variant of an isomorphism
between the cerebral functions associated with consciousness and those that appear to be correlative
preconditions for quantum and entanglement phenomena for the particle is to discern the potential
linking functions and congruence between these two levels of discourse. The Bohr magneton (µB) for the
magnetic moment of an electron can be considered a central source for macroentanglement as well as its
microscale manifestations.
The magneton is the circulatory current created by the angular momentum of an electron moving in its
orbit. This fundamental constant is 9.28 x 10-24 Am2 or J/T. According to some solutions for wave
mechanics, the spin of an electron, the rotation around its own axis, is also exactly one Bohr magneton.
The electron has two possible states that reflect the spin in a given direction (referenced as up or down).
This also allows for two electrons in an atom with spins of ½ + ½ or -½ - ½ to have resultant spins of 1 or 0,
respectively. These properties are conditions for entanglement as well as the potential digital (0,1)
representations of information which is considered central to quantum computation, communication, and
free-space quantum teleportation (Jin et al, 2010).
An electron in an atomic orbital displays both orbital angular momentum and intrinsic spin at the same
order of magnitude 
spin angular momentum or spin is parameterized to the spin quantum number which is the fourth of four
numbers employed to describe the unique state of an electron. The fourth quantum number has been
linked to determining the locations of matter within a frame of reference. According to Hu and Wu (2006)
two interacting quantum entities such as two electrons, become entangled with each other through spin
processes by exchanging one or more entangling photons.
The occurrence of a quantitative value for spin predicts a potential range of energies within brain space
within which consciousness and thinking occurs. For a magnetic field of 70 pT or 7 x 10-11 T the energy
would be the product of this value and the spin moment or 6.624 x 10-34 J. This is equivalent according to a
frequency (once divided by Planck's constant of 6.624 x 10-34 J s), of about 1 Hz. For intensities within the
100 to 200 pT range, well within the expected operating intensity of some cerebral functions, the
frequency range would span 10 to 40 Hz. This quantitative convergence suggests that the processes
associated with thinking could be coupled to the intrinsic characteristics of the electron from which
quantum and entanglement phenomena emerge.
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
787
Functional relationships between electron spin and orbital time and photon movements allow an interface
with biological activity, specifically brain function. The intercalation between the photon and the neuronal
membrane may be more quantitatively congruent than expected. The numbers of revolutions per second
for an electron in a Bohr magneton is 6.8 x 1015 per sec; consequently one complete rotation or
completion of a single cycle requires the inverse value or 1.5 x 10-16 s.
2.2 Photon Interaction
By comparison, the time required for a photon moving across a neuronal membrane of 10-8 m (10 nm) in
brain space at 2 x 108 m/s would be about 10-16 s. The neuronal membrane is the source of the action
potential whose composites are likely sources of the states of consciousness and thought. The
convergence of 10-16 s for both the photon passage and the single rotation of a Bohr electron would be
sufficient for the energy and the information within the photon to be represented within the single cycle
or one closed loop of the electron's revolution.
This quantitative convergence between a single rotation time and the width of a neuronal membrane also
suggests that the phenomena associated with the photon and its interaction with electron orbits and shells
could be more than the physical substrate for the creation of thought and consciousness. Because
photons, which in large part are derived from the sun, have been argued to exhibit variable progression
near the maximum velocity of c, the historical representation within the photon could involve the
functional equivalent of millions to billions of years.
If the quantitative threshold is approached from the synchronization of information from a field of photons
traversing a critical number of neuronal membranes, then consciousness and thought might respond to
stimuli at times and distances quite disparate from the frame of reference of the brain that is being
stimulated. That the activity of only one neuron within an aggregate of millions can change overt behavior
has been shown experimentally (Houweling and Brecht, 2008). That the application of the equivalent
current dipole moment of about 10-8 A m from a neuronal magnetic field applied over the width of an
electron (10-15 m) is the same order of magnitude as the Bohr magneton suggests that singular values with
critical quantities might produce global effects.
2.3 Mass-Energy Equivalents
Bohr had hypothesized that thinking and consciousness might even involve the extraordinarily weak
quantum energies. There is quantitative support for Bohr's intuition. The magnetic moment of 9.28 x 10-24
J/T within a magnetic field of 1 pT, which is well within the range of very local magnetic fields generated
around axons, would be associated with an energy of 9.28 x 10-36 J. The mass equivalence of this energy is
in the order of 10-52 kg or 10-49 g. This is exactly the order of magnitude of the upper limit of the rest mass
of the photon which has been estimated by several authors (Tu et al, 2005).
From the perspective of macroentanglement for brain function this upper limit of the rest mass of a
photon is important. First, because the mass of the photon is non-zero, the dispersion will produce
frequency dependence in the velocity. The group velocity of photons will differ from the phase velocity
which means that information can be stored within quantum phase differences. Group velocity refers to
the entire wave envelope within which the different complex components
can display phase (temporal) shifts. Ahn et al, (2000) have suggested that information can be stored and
retrieved through quantum phase shifts.
The concept of variable velocity, particularly if very small and near c, could help explain the solution of 10-
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
788
20 J as the net energy equivalence between the classical radius of an electron and its Compton wavelength
which is about 1000 times larger. To meet the Lorentz transformation for the discrepancy in this length,
the velocity must be 0.9999995 c. Comparable differences in net velocity below c could produce similar
energies. This would suggest that the energy associated with the action potential, 10-20 J and implicitly
thought itself, would be sufficient to modulate the differences between the particle and wave state
(Persinger 2008).
Secondly, the nonzero mass would allow a third state of polarization in which, in addition to the classic
perpendicular orientations for the magnetic and electric field components of the electromagnetic wave
with respect to its direction of movement, there would be the emergence of a longitudinal photon (Tu et
               
superimposition of these eigen states (Vaziri, et al, 2002). Hence, there would be greater degrees of
freedom and factorial combinations that enhance the potential for entanglement.
Third, the presence of a magnetic field could modulate and enhance the characteristics of the actual non-
zero mass of the photon. When geomagnetic data from earthbound and satellite measurements were
combined the upper limit of the rest mass of a photon was about 4 x 10-51 kg with a Compton wavelength
    7 m. Within a stronger magnetic field,

was less than 10-52 kg.
The geomagnetic field component for revealing or influencing the measurement of the mass of a photon is
important because of its own intrinsic entanglement. Korotaev et al (2005, 2006) showed that non-locality

      s from sensors separated by tens of
kilometres. Experimentally, entanglement between two spins in an antiferromagnetic solid can be affected
by the external magnetic field. Increasing the field strength to certain values can create entanglement
between otherwise disentangled spins (Arnesen, et al, 2001).
2.4 Connection to Consciousness and EM fields
One approach to arguing macroentanglement is that consciousness and thought are coupled to electron
movements (orbital or spin) and hence aggregates of these movements should reflect the microcosm even
if the numbers of electrons (assuming a brain mass of 1.5 kg) is in the order of 1027 to match the numbers
of protons. Stated alternatively, macrocosm reflects microcosm when the numbers of units in the former
reach some critical value to allow this pattern to emerge. That the cerebral cortices display the
characteristics of a single global state was described by Wackermann (1999). Experimental support for the
homogeneity of this system was recently reported by Cheng-yu et al (2009) who found that the burst
spiking of a single cortical neuron could modify the entire global state.
If this argument has validity then the quantitative characteristics of the macroscopic manifestations of
quantum-level properties should be congruent with the magnetic field strengths associated with
neurocognitive activity. The operating intensity of the cerebrum as a matrix or volume has been argued to
be in the pT range. From this context it is interesting that kg/As * 1/s or the mass of an electron divided by
a unit charge multiplied by 7 Hz is 9.1 x 10-31 kg/1.6 x 10-19 As * 7 Hz (1/s) or 40 x 10-12 T. In general the pT
range would include most of the most important frequencies of small (action potential) and large scale
(steady potentials in the mHz range) brain function.
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
789
2.5 Application of Zeeman Phenomena
The Zeeman effect occurs when an atom is placed within a magnetic field. There is a separation of spectral
lines, the indicators of photon emission as electrons shift singlet states. This process is related to the
coupling between the intrinsic spin and orbital angular momentum of the electron as well as interactions
between spin magnetic moments of the electron and the nucleus (Hill, 2007). These quantum mechanical
phenomena provide unequivocal evidence for the existence of the intrinsic spin of the electron which is

an electron orbit that are specific angles to the applied field.
The occurrence of the Zeeman effect and the mechanism responsible for it has relevance for
macroentanglement and consciousness. First it indicates that the application or presence of an external
magnetic field within which systems are immersed results in shifts in functional location of states that
were initially superimposed or occult. Their hyperfine differences only become evident with the
application of or immersion within the magnetic field.
If macrocosm reflects microcosm, even in a non-specific manner, the hyperfine structure of the emergent
appearance of two (and sometimes three) lines in atomic spectra should have an analogue within

was proposed by Hughlings Jackson more than a century ago to explain the experiences of partial complex
epileptic patients with foci in the temporal lobes (Bancaud et al, 1994). These individuals reported the
cal seizures which biophysically are equivalent to brief
periods of coherent, paroxysmal enhancements of electromagnetic fields within the brain space. We
(Booth et al, 2005) have suggested that the appropriately patterned application of a magnetic field across
large volumes of the cerebrum encourages a Zeeman-like duality of states such that the person

sense of self. Under typical conditions this duality, like the Zeeman split in atomic spectra, remains
occluded.
The third important implication of Zeeman phenomena for consciousness involves the potential
entanglement between the two states of consciousness, the sense of self and the sense of the other, and
perhaps the third state within the microstructural arrays of approximately 1013 synapses within the
cerebral cortices. Changes in the electromagnetic fields associated with the sensed presence could affect
the state of the electromagnetic fields associated with the sense of self and visa versa during transient
conditions when they are separated. Consequently either the sense of self or the sensed presence could
exist transiently in different spatial locations and potentially respond to information within these distinctly
different and separate locations.
Similarly changes in one of the two electromagnetic states associated with the sensed presence or the
sense of self, which are potentially non-local, could affect the activity of the anomalous third state
dependent upon brain structure. Thus stimuli that affect the microstructure of the brain at the synaptic
level would produce a specific change in the sense of self or the sensed presence or any process that
modifies the electromagnetic fields which constitute the sensed presence or sense of self could affect the
electromagnetic field associated with the microstructure due to quantum processes.
There is quantitative support for Zeeman phenomena within brain space even for magnetic field strengths
within the operational pT range of cerebrum. The change in angular frequency with an applied field of 40 x
10-12 T would be, according to classic Zeeman formula solutions, the product of 4 x 10-11 T * 1.6 x 10-19 As
divided by 12.56 * 9.1 x 10-31 kg or about 0.6 Hz. However in non-angular systems it would be 7 Hz. The
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
790
potential intensity is within the pT range that can occur within the cerebrum and would accommodate the
primary frequency range of 0.1 to 100 Hz.
2.6 Neuronal Quantum
Persinger (2010), in order to reduce the myriad of molecular pathways presently complicating the
understanding of cell function to a fundamental unit, has suggested that the ubiquity of a quantum with a
value of about 2 x 10-20 J could minimize the complexity. This quantum unit was the solution for the
energy: 1) at the average distance of the release processes associated with diffusion time of classical
neurotransmitters, 2) between charges on the surface of the membrane that creates the membrane
potential, and, 3) when force over distance between atomic bonds, particularly covalent forms, are
distributed over interatomic space. The increment of 10-20 J was found to be the unit associated with
membrane-linked photon emission from the plasma membrane of the cell, the energy at binding sites for
phosphorylation during posttranslational modifications of proteins, and the actual shift in wavelengths
during bioluminescence. Such quantitative commonality would suggest an underlying physical process to
which all chemical reactions that cause or are strongly correlated with brain function are related.
This relationship should be transformed into larger spaces that constitute the brain-consciousness
connection, the cerebral cortices. The average number of neurons within a unit volume of human cerebral
cortices is about 5 x 104 neurons/mm3. Assuming an average cortical thickness of 4 mm and the width of a
cortical column to be about .75 mm (or a thickness of 3 mm and width of 1 mm), then there would be
about 15 x 104 neurons per column.
If the column is considered a functional unit of cerebral energy, then with each neuron generating an
average 7 action potentials per sec (7 Hz) and each action potential generating 1.2 x 10-20 J, there would be
1.26 x 10-14 J per column per sec. The frequency equivalence of this amount, obtained by dividing by
Planck's constant, is 1.26 x 10-14 J/6 x 10-34 J s or .21 x 1020 Hz.
The equivalent wavelength of this frequency, assuming an operational velocity of c, is 3 x 108 m/s divided
by 0.2 x 1020 Hz or 15 x 10-12 m which is 37 pm, the classic radius of the hydrogen atom or the standing
wave distance between a proton and its electron. The Bohr magneton, with a magnetic moment of 9.28 x
10-24 Am2 or J/T, lays at the basis of quantum mechanics and the concept of entanglement (Aczel, 2002).
The importance of the average range in cerebral cortical thickness may be coupled to an as of yet
unexplored association with the oxygen absorption spectra (48 to 72 GHz) and the 4 to 6 mm wavelength
band. Absorption peaks for water occur around 1.5 and 0.9 mm. Because oxygen exhibits a strong affinity
for electrons, there is large amount of energy released when it is reduced to form water. The potentially
fatal consequences of the attraction to sequester three more elect 
been absorbed to form the superoxide radical was reduced by the emergence of cytochrome oxidase to
slow the process. Consequently an electron is donated and received about once every 5 to 20 ms or on
average every 12 ms (Alberts, et al, 2002). This interval is almost precisely the phase modulation
associated with electromagnetic fields associated with consciousness (Llinas and Ribardy, 1993).
2.7 Connecting Cerebral-Consciousness Timing to the Electron
Over the average functional rostral-caudal length of about 11 cm of the cerebral surface one full phase
(cycle) of a 40 Hz ripple would move at 1.1 x 10-1 m/2.5 x 10-2 s or about 4.5 m/s. When such bulk velocity
is applied to the resonance formula derived from the velocity divided by the circumference, the typical
standing wave or resonance frequency of the cerebral perimeter would be (4.5 m/s)/.6 m or between 7 to
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
791
8 Hz (Nunez, 1995). Once again this allows global congruence between the modal frequencies associated
with memory and awareness and would facilitate the synaptic basis for memory storage form the
hippocampus to within the cerebral cortices (Bear, 1996).
De Broglie's matter waves or pilot waves, an important concept during the early development of quantum
theo                
wavelength resulting in units of kg m/s. For an electron or proton with a radius or wavelength of 2.82 x 10-
15 m, the momentum is 2.35 x 10-19 kg m/s. If a packet of energy was moving at an average of about 4.5
m/s, such as the rostral-caudal bulk velocity of the electromagnetic field over the cerebral cortical
manifold, the energy is about 10-20 J. Given the likely range of the bulk velocity around this central value,
this is well within the range of the energy generated by a single action potential (Persinger, 2010a).
The variant of this equation, Heisenberg's Uncertainty Principle, is expressed conventionally as 
        
complete certainty of the location of an electron with a classical radius of 2.82 x 10-15 m then the
uncertainty (difference) of momentum is dp=6.624 x 10-34 J s/2.82 x 10-15 m or 2.35 x 10-19 kg m/s. At a bulk
velocity of about 4.5 m/s for transcerebral magnetic fields, the energy would be 10-20 J.
This value becomes relevant for the spatial extent of potential entanglement if gravity is considered. The
gravitational force between two charged particles being carried by sodium ions each separated by 10 nm
on a cell membrane is about 3 x 10-45 N (Persinger et al, 2008a). This is an extremely small force but when
spread over the spatial extent of the universe with a width of 1025 m to 1026 m the associated energy (force
times distance) is in the order of 10-20 J.
For entanglement this marked congruence in magnitude between a quantum unit of neuronal function
and the energy between two particles that compose this function through membrane polarization at the
distance of the width of the universe could constitute an identity or the potential for a variant of a
             
virtual or identical particle effectively on the other side of the universe such that both particles would be
juxtaposed. With such juxtaposition a change in one particle could be associated with the alteration in the
other instantaneously. Of course   


length (Persinger and Koren, 2007).
3.0 Experimental Production of “Macroentanglement”
3.1 Macroquantum Effects Predicted by the Einstein Relation
Recently we demonstrated that quantum phenomena, such as the Einstein relation, might be also
manifested at the level of brain space. This relationship is formally expressed as f=(Ea-Eb)/h where Ea is the
energy state of A and Eb                
converted into wavelength or spatial distance.
Persinger et al (2008b) calculated the energetic difference between 37 and 38 deg C which was 1.4 x 10-23
            11 Hz the wavelength for
which, assuming c, was about 1.5 cm. This is the effective distance in the brain that not only separates the
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
792
two cerebral hemispheres but is within the range of separation between foci activated by the expression
of one of two languages within the prefrontal cortices of bilingual individuals. They often perceive
       
considered systems that can exist in either of two different energy states.
During approximately 2 ksec of transcerebral magnetic field application of burst-firing, frequency-
modulated patterns with a slight enhancement of intensity over the right hemisphere, volunteers reported
a sensed presence. The intensity gradient was equivalent to about 70 pT per neuronal width of 10 um and
assuming attenuation during application would be at least within the single digit pT range. External
thermometers inserted comfortably into both ears indicated that the increase in 1 deg over the right
hemisphere compared to the left was the threshold required for the report of a sensed presence. In fact
the slope for the 0,1 report of a sensed presence as a function of the interval-based change in right ear
temperature was effectively unity.
3.2 Entanglement of Thoughts for Two People?
Our first demonstration of macroentanglement involved a relatively simple paradigm. It was based upon
the results of an experiment (Persinger et al, 2003) involving siblings. In that study the brain of one sibling
was exposed to magnetic fields that were pulsed for various durations as they rotated counterclockwise
              
counterclockwise direction because we presumed the direction of the field would be moving against the
rostral-caudal creations of the natural macroscopic magnetic fields generated from the cerebrum. This
would produce the interference patterns sufficient to influence the temporal recreation of consciousness.
This rotational direction had significantly affected subjective time distortion (Cook et al, 1999); the
duration of the total time distortion was a function of the numbers of rotations. Special subjects who were
    s during
               
information concerning stimuli at substantial distances from his brain was strongly correlated with the
durations of unusual 7 Hz spike like 

the white matter in the temporoparietal lobes of the right hemisphere.
The acquis                
conspicuous during the application of the circumcerebral magnetic fields that we re-evaluated our more
conservative interpretation of the historical claims of information occurring in spaces and times quite
distal to the experient and involving non-traditional sensory modalities. We asked the question: if

then what occurs in that finite but very small duration of time between the end of one transcerebral

interval?
In other words is consciousness a type of filter that prevents access to or awareness of extracerebral
information? If one assumes electromagnetic configurations create or are strongly correlated with
consciousness, a profound hypothesis is derived. During these brief suspensions before the generation of
the next transcerebral wave information from space-time, in a quantum sense, could be incorporated into
the next cortical manifold and converge within the sequence of units that form the stream of
consciousness.
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
793
Consequently the circumcerebral device was tuned to overlap with the temporal characteristics of the
emergent processes, in the order of 20 msec, associated with consciousness. The rate of rotation of the
0.5 to 1 µT magnetic fields in this horizontal plane just above the ears (from an external perspective) could
be programmed to accelerate or de-accelerate. Although a constant velocity in a circle is technically also
always accelerating, we designed the experimental apparatus to produce consistently changing angular
velocities.
Applied field strengths in the order of 1 µT (10 milligauss) are usually considered too small to compensate
for many of the thermal-related processes within cerebral space. However the penetrability of the
magnetic fields within this constrained volume allows for potential storage of energy which can be
estimated by J=[B23 where B is the field strength, µ is magnetic permeability and m3 is the
volume. The potential energy within a volume of about 10-3 m3 (the human brain) would be about 10-9 J. If
one assumes each of the approximately 1010 cerebral cortical neurons are firing on average at 10 Hz and
each action potential involves an energy quantum of 10-20 J, then this applied strength would be sufficient
to interact with the average energy display from electromagnetic activity of the entire cortices.
For example, a 20+2 configuration (the first number is the base duration and the second number is change
in duration) indicated that at the first solenoid over the left frontal region the duration of the complex
frequency-modulated magnetic field (derived from the computer inputs) was 20 ms. At the next solenoid
around this counterclockwise direction over the left frontal-temporal interface the duration was 18 ms.
This change continued until at the final, 8th solenoid over the right prefrontal region where the duration
was 6 ms. If the configuration was 20-2, this meant that the first duration was still 20 ms but with each
successive solenoid the duration was 2 ms longer.
We reasoned that in addition to averaged velocity and acceleration around the entire brain, there were
additional changes in rates between successive solenoids. Intuitively, at the beginning of these studies
during the year 2000, we selected the base duration of 100 ms and 20 ms because of their obvious
relationship to peaks power frequencies (10 Hz and 50 Hz, respectively) within the cerebral EEG and well
as the then emerging research involving microstates that existed over the entire cortical surface (Koenig et
al, 2002).
3.3 Sibling Study
In the experiment with siblings, one wore the eight-solenoid device while sitting in a closed acoustic

over the left and right frontal, temporal, parietal, and occipital lobes. The latter sibling or response person
sat blindfolded in the dark in other rooms either 5 m or 10 m away. A 20 sec baseline of the quantitative
EEG (QEEG) activity was recorded and stored. During each of the 6 different serially presented 5 min
           
chamber 20 sec of QEEG measurements were recorded for the response person. During the recording
period the stimulus person in the chamber was asked to imagine being in the other room with their sibling
and touching him or her.
              
increased power within the theta range, particularly 5 Hz to 5.9 Hz but only if the stimulus person was
imagining being near the response person. The greatest increase occurred over the (right) parietal lobe.
Many of the response persons reported a sensed presence along their left sides at this time as well. The
effect did not occur when there was no magnetic field being generated around the head of the stimulus
person and much less so during other configurations.
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
794
We interpreted these results as the potential consequence of entanglement that was encouraged by the
application of the circumcerebral magnetic field to the stimulus person. However the major confounding
variable was the potentially shared genetic or anomalous environmental history (proximity) over which we
had no control. In order to accommodate these limitations, another experiment was designed (Persinger
et al, 2008c).
3.4 Randomly Assigned Strangers with Subsequent Spatial Proximity
During the second week of a first year university psychology class, 8 students (for four pairs) were
randomly selected from the class roster of about 80 students and asked to participate in an experiment for
a reinforcement of $50 per pair. Each pair was instructed to meet twice per week for one hour for four
consecutive weeks. From our perspective the purpose was to establish a history of proximity without

On the day of the experiment pairs were exposed to the same procedures as those subjects in the sibling
study. When the stimulus person in the chamber was wearing the equipment that generated the
circumcerebral magnetic fields with 20+2 configurations and imagining being in the room with the
response person, his or her EEG displayed increased power within the theta range. However the effect was
more related to the temporal lobes, with a slight right hemispheric enhancement. The subjective
experiences of the response persons whose EEGs were recorded were even more intense than those
reported by the response persons in the sibling study.
When the stimulus person during the 20+2 field presentations was simply thinking about the other
(response) person, he or she showed a marked increase in the feeling of a sensed presence, anger, and
sexual arousal. Such experiences did not occur for the stimulus persons. Pairs of random strangers,
obtained by recruiting people walking by the laboratory and who were exposed to the same procedures
did not display significant changes in either their EEG profile or their subjective experiences.
Although interesting the apparent support for macroentanglement did not meet the qualitative criteria or
the essential procedural operations of what Bohr and Schrödinger had envisioned. Entanglement involves
a process by which two particles (or by inference an aggregate of particles that behave as a single particle)
respond simultaneously to a change in each others states despite the distance between them at anytime
after their diminished close proximity. In other words the two distal particles are still responding as if they
occupy the same space or may even be the same particle with the potential for two different states.
3.5 Geomagnetic Field-Based Entanglement?
Dotta et al (2009) tested the concept of macroscopic entanglement by simultaneously measuring the
quantitative EEG of pairs of people separated by about 75 m. They found that about 50% of the variance of
the simultaneous EEG power was shared between the pairs of brains. Considering the measurements by
Mulligan et al (2010) that showed significant correlations between power within the theta and gamma

be expected. Both members of the pairs would have been exposed to similar geomagnetic activity. This
third factor would have pr
The critical observation for this study was the direction of the correlations. Pairs of strangers showed
positive correlations in power output within the alpha and gamma bands over the frontal and temporal
lobes. This would be expected if a third recondite (to the observers) factor produced both. However,
people who shared a reinforcement history (that previously shared locations) displayed negative
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
795
correlations in power within the alpha and theta band over these regions. This could be considered an
analogue of quantum phenomena when the state of one particle is opposite to the one with which it is
entangled. Direct measurements with a fluxgate magnetometer of the static geomagnetic field intensities
within both locations where the EEG measurements were taken were unusually similar, as if they were

3.6 Experimental Production of the “Same Space” for Macroentanglement
To create spatial identities we employed two, eight circular solenoid systems separated by 15 m. One
person sat within the acoustic chamber and wore one unit while a second person sat blind-folded in the
dark in a separate room wearing the second unit. The two units were synchronized by being connected to
the same computer that generated the complex, altering-velocity rotating magnetic fields to both brains
  
would be topologically equivalent to a translation of spatial-temporal axes such that they become the
same space. If this is valid, then what occurs in one space (and the brain occupying it) should occur in the
other space (and the brain occupying it) even though the distances are significant and classical sensory
modalities are not operative.
               
person and the response person were exposed to the same complex configurational magnetic field the
stimulus person was exposed to flashes of white light of about 1 lux for 30 s intervals. The flash frequency
was between 4 and 15 Hz. At the same time the QEEG for the response person was measured for 20 s just
before and 20 s during the light flashes were presented to the stimulus person. In several experiments
            
power profiles from QEEG analyses showed increases within the right parietal-temporal region only when
the stimulus person was watching the light flashes.
The power increase was maximum within the range of the frequency of the light flash but was most
  
es for the sibling and randomly-assigned stranger studies, the most effective
configuration for producing this effect was an initial duration of 100 msec and a change duration of 10
msec. This meant that the duration at each of the 8 successive solenoids changed from 100 ms to 90 ms
etc until it was 30 ms over the right prefrontal region. This duration is within the range of the microstates
and the interval of a percept, about 80 to 120 msec that lies at the bases of visual perception (Koenig et al,
2000).
3.7 Photon Emissions from the Human Brain
At the quantum level the intricacies of entanglement are coupled with photons. To discern if photon
emission could occur from the brain of the response person in a double-circumcerebral field paradigm,
Dotta and his colleagues (Dotta et al, 2010) measured the energy of photon emissions from the response
person while the stimulus person was exposed to the flashing lights. In this situation the stimulus person
sat within the closed acoustic chamber while the response person sat blindfolded 10 m away in a closed,
dark room. Instead of measuring EEG activity, a photomultiplier tube (PMT) was placed 15 cm away form
the right hemisphere on the same plane as the temporal lobe.
The right hemisphere had been selected because Dotta and Persinger (2010) had found that when the
average person sitting in the dark was asked to think about light rather than casual or random events,
there was an increase of photon emission from the right relative to the left hemisphere. The energy of the
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
796
photon emission was 10-13 J and, assuming 10-20 J per action potential, would be equivalent to about 107
neurons firing per second. This is within the range of the numbers of neurons involved with known areas of
activation during specific thinking as inferred by the oxygen uptake or positron emission during bold fMRI
or PET studies. The measurements were also consistent with the hypothesis by Bokkon (2005) and his
colleagues that biophotons are not only routinely emitted from neuronal processes such as action
potentials, but may be an energetic field that actually is the visual experience associated with visual
perception and dreaming.
In this macroentanglement paradigm 7 to 8 Hz white light flashes of about 1 lux (diffusely projected
against the wall) were presented in 30 sec on-off sequences to the stimulus person while the photon
emissions form the right side of the head of the response person were recorded every second. The output
from the PMT was sent directly to a laptop computer screen that allowed not only recording but real time
observation of the energy output. During the entire experiment both subjects wore the circumcerebral
devices containing the 8 solenoids and were exposed to various no field or field conditions. The field
conditions involved either accelerating or de-accelerating rotations each presented for between 2 and 5
min. The primary base durations and changing durations were 20 +2, 20-2, 100+10, and 100-10.
Analyses of the data indicated that when the stimulus person was watching the diffuse light flashes there
was a net increase of about 10-11 W/m2 
increase would have been in the order of 10-12 W or J/s. Assuming 10 action potentials per sec and each
action potential was 10-20 J, this would be equivalent to about 10 million neurons. Three pairs of stimulus-
response persons were tested and all three response persons displayed this effect. One of them reported
ugh the subject was sitting in the dark and blind folded,
during 5 of the 6 intervals the stimulus person was watching the light flash. Obviously, the person was not
told when the light would be presented to the stimulus person.
The potential application to macroentanglement is apparent. First, the presentation (absorption) of
photons to the stimulus person was associated with the emission of photons from the response person.
n one of the pair is affected
if arbitrary values of increase or decrease are made equivalent to + and or top and down references.
What is not clear is whether or not the photon emissions measured by our PMT from the response
     
flashes. Clearly 1 lux which is about 10-3 W/m2 was not transmitted in bulk. However the energy through
the aperture of the pupil (about 1 mm2) would be about 10-9 J/s and with the approximately 100 fold
attenuation through the lens and humours would be about 10-12 J/s by the time the rods and cones were
encountered.
The third implication from the magnitude of energy measured during this entanglement experiment is the
marked similarit            
proposed by El Naschie (2004). This particle displays an intrinsic energy of 3 x 10-13 J (1.8 MeV) and has
been hypothesized to determine the GUT (General Unified Theory) and total unification of all fundamental
interactions. This value is also very similar to the particles of vacuum fluctuations within space-time. Such
congruence would be important to connect micro- and macroentanglement.
The concept that gravity is not a fundamental interaction but rather an induced effect produced by
changes in quantum fluctuation energies of the vacuum when matter is present shifts the operation of
gravity closer to Casimir forces rather than to fundamental Coulomb forces (Puthoff, 1989). This allows for
a quantum-fluctuation-induced gravity coupled to zero-point-potential (ZPF). The gravitational constant
     
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
797
time or in the order of 1044 
Hilbert space (El Naschie, 2004). Effectively the condition is set for the existence of gravitational
.
4.0 Implications of Macroentanglement and Future Directions
The generalization of experimentally-produced macroentanglement would have significant implications for
understanding the manner in which human thought and the occurrence and the sequence of events are
perceived. From a practical perspective, it might allow the development of the control of and interaction
with intelligent machines on other planets that would overcome the limitations of response delays. From
an evolutionary perspective, it 
(Persinger and Lafreniere, 1977) or, from the perspective of integrative biology, the entanglement of all
living systems on the earth that have and now share immersion with the space 
magnetic field. The interactions would be simultaneous.
In addition the issue of events occurring as the result of reversals in temporal direction from what we
perceive now as future events would be re-evaluated. If entanglement is involved with photons from

matter, including that which composes the human brain and the configurations experienced as
consciousness, could be affected by a novel type of determinism that could alter cultural philosophies. The
possibility that a single thought could affect the sequence of events in the universe (Persinger et al, 2008a)
may have real although limited application.
4.1 Geomagnetic Immersion and Connections
      
developed. Assuming 1011 neurons in the human neocortices, an energy of 2 x 10-20 J per action potential,
an average of 10 action potentials (10 Hz) per neuron and a life span of 2 x 109 s, the total "thought
energy" per person would be about 10 J. The total numbers of human beings over the last 3,500 years may
have been about 55 billion, with a total "thought" energy of 5.5 x 1011 J.
E-5 T multiplied by
the dipole moment (8 x 1022 A m2) or 4 x 1018 J. This means all of the energy equivalents of thoughts from
every human being who has ever existed could be stored or representative within the earth's magnetic
field. With an inductance (Webers/A) of 1.6 x 102 Henrys, a capacitance of 2 Farads, and a frequency of 7
Hz (the fundamental Schumann value) the time required for representation is about 2 ksec or 30 min. This
is within the range of the electrical lability period for human memory consolidation and would suggest
there are two representations.
The first type would be spatial patterns created by the growths of dendritic spines which require about 15
to 30 min to emerge, assuming the appropriate long-term potentiation. These memories and thoughts
would be bound to the complex configurational electromagnetic fields whose topology is the fractal space
of the approximately 1013 synapses within the cerebral cortices. When this deteriorates at biological death,
this information dissipates. The loss of structure dictates loss of function.
The second form would be represented as electromagnetic phenomena within the space occupied by the
field (Persinger et al, 2008a). This information would be maintained as transforms of the
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
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energy from the digital sequences of action potentials. Candidates for this storage would require some
physical equivalent of Hilbert space within the boundary of the geomagnetic field. Stored as phase
relations, the information could also be retrieved. The existence of both systems of representation of
information would be equivalent to the history of DNA within the context of the individual relative to the
species. A             
billion year history is maintained through successive transmission to offspring who maintains the temporal
continuity of the specific sequences of base pairs.
If all human brains are immersed within the geomagnetic field and as a result are simply punctuate nodes
displaying very similar genetically-determined structures along this continuous line, the steady state
induced magnetic field within the entire line or the entire species can be calculated. The shared magnetic
field intensity for all human beings as a field would be B=1/2 * µ * i* d, where B is the magnetic field
strength, µ is magnetic permeability, i is the electric current density (Voland, 1977; Winch et al, 2005), and,
d is the linear distance of all 6 billion brains. The average value for B would be 1/2 * 1.26 x 10-6 [kg
m]/[s2A2] * 10-13 A/m2 * 6 x 108 m (from 6 billion brains * each length of 10 cm) or about 30 pT. This
quantity is within operating range of the average brain.
Such congruence of magnitudes between the induced operating magnetic field strength from the
topological connection of all human brains by geomagnetic space and the operating intensities of the
individual brain would qualitatively produce the conditions for a condensate as well as a hologram. The
characteristics of each unit would be reflected in the characteristics of the aggregate such that it behaves
as a unit. This is sufficient for a quiet geomagnetic baseline connection with state-dependent properties of
the brain superimposed on that baseline.
Events occurring within one unit, such as an intense physiological arousal, would have the capacity to
affect every other unit (brain) with specific electromagnetic configurations within the aggregate that
shared the same state. The time required for such influence is quantifiable if we assume a process similar
   -7 N/A2  
S/m (physiological saline) the solution is 1/2.64 x 10-6 s/m2 or .378 x 106 m2/s. The time required to diffuse
through 9 x 107 m2, the total surface area of all human brains, would be a 238 s or about 4 min. The time to
access the EM configuration for all human cerebra from a single brain would be within the duration of
normal ranges for global cerebral states.
Similar durations were measured empirically by satellite data for hydromagnetic waves within the 5 mHz
(200 s) range that were generated about 5 x 107 m from the center of the earth. These waves required
                 
magnetic field intensity and plasma density within this volume, the required photon mass would be < 4 x
10-50 kg. This is within the range of energy equivalence that could functionally connect the production of
the Bohr magneton and the operational intensity of cerebral magnetic field strengths.
These latencies are within the time range of an average period of dream or rapid eye movement (REM)
activity for human beings. These periods, which occur on average every 90 min to 120 min increase from
about 10 min during the first few hours of sleep to 20 min or more during latter hours of sleep. The dream
state shares many of the neurophysiological characteristics of the waking state, including the 10 to 20
msec intracortical integrations, phase shifts, and rostral-to-caudal wave propagations over the cerebrum.
The right hemisphere is both preferentially activated during REM periods and is more sensitive to
geomagnetic activity. In the waking state we have found significant correlations between day-to-day
geomagnetic variations and the power within specific frequency bands over the right hemisphere. The
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
799
latter are also strongly correlated with a more recent indicator, atmospheric power density (Mulligan et al,

all of the other millions of brains that are within the same state at the same time would allow
superposition of information between at least a subset of those brains. Marks et al (1995) have suggested
that REM sleep even directs the course of brain maturation in early life through the control of neural
activity.
Bokkon (2005) has suggested that the images associated with visual perception and dreaming are the
experiences of fields of photons structurally organized within the cerebral cortices due to its intrinsic
neuroanatomy. These photons would be generated by intracellular processes as well as from action
potentials. It is relevant that the energy associated with 10-20 J, associated with an action potential, is
              
width, about 10 µm. If these photons were entangled from previous proximity, such as from within the
sun, which according to Popp (1986) is the source of most biophotons, then mutual dreaming between
millions of brains would have the potential for exchange of information.
The relationships between the geomagnetic environment within which human brains are immersed and
the emission of photons could reveal mechanisms. We have found reliable negative correlations between
normal ranges (5 to 500 nT) in minute-to-minute geomagnetic activity over 24 hr periods and the energies
of photon emissions as measured by photomultiplier tubes. This would suggest that periods of minimum
geomagnetic activity, whose wide band spectral periodicities are within the mHz range, would be
associated with greater photon emission from brain space. In fact enhanced geomagnetic activity would
be predicted to obscure or interfere with the intrinsic connection between all brains immersed within it.
Commensurate with this assumption, several correlational studies involving cases collected for over a
              
experient occurs much more frequently if there is minimal geomagnetic activity at the time of the
experience (Persinger and Schaut, 1988). Stated alternatively, they occur when there are minimum
disturbances in the baseline geomagnetic connection. As predicted the majority of these experiences
occur during dreams or related states during the day. The effect was replicated within dream laboratories
(Persinger and Krippner, 1989).
The relationships between the experient and the person to whom the adverse events occur reflect a
gradient of shared history of locality. The most common experiences occur between members of the
immediate family, followed by distant family and friends. Other researchers (Lipnicki, 2009) have reported
that bizarre dreams, which are those that contain content that are difficult to rationalize by classical
sensory operations, also occur during periods of minimal geomagnetic activity.
The occurrence of entanglement from shared geomagnetic immersion during shared cerebral
electromagnetic states by billions of people has profound implications. First, the apparent temporal
distortions,           
the quantum concepts that the past and present are arbitrary serial perceptions. Instead they are
connected. The quantitative duration of the apparent separation between the event and the experience
might be lawfully distributed according to intrinsic processes such as the central limit theorem (the normal

One empirical study showed that the temporal disparity between the experience and the event displays a
normal distribution with about 70% of the cases occurring within +/- 3 days of each other (Persinger,
1993). For events that occurred between 3 days to a year after the experience the geomagnetic activity at
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
800
the time of the experiences for the future events was moderately correlated with what the intensity of the
geomagnetic activity would be one to two days before the actual events (Dotta and Persinger, 2009). The
magnitude of correlation is remarkably similar to that reported by Korotaev et al (2005) for the non
locality-    
solar event.
4.2 The Casimir Energy
The Casimir effect has been considered a manifestation of zero point oscillations. The effect is defined as
the interaction between a pair of neutral parallel conducting planes correlated with a disturbance of the
vacuum of the electromagnetic field. The Casimir relation is considered to be an example of a pure
macroquantum effect. The manifestation is based upon the assumptions that: 1) there is an infinite
vacuum energy of free Minkowski space, 2) there is infinite energy when free space is set equal to zero, 3)
there are zero point oscillations, 4) external magnetic fields affect vacuum polarization, and, 5) boundary
conditions are concentrations of external fields.
There are three main consequences of these assumptions. First, material boundaries polarize the vacuum
of a quantitized field such that the force acting on the boundary is a result of polarization. Second, the
application of external fields create particles from the vacuum because energy is transferred by the
external field to virtual particles (vacuum oscillations), thus transforming them into real particles. Third,
and important for the experimental production of these effects, there is no effect with static boundaries. If
the boundary conditions are changing as a function of time, there is particle creation as well as the
production of a force.
24
velocity of light, a is the distance of separation between the two plates and S is the area. The Casimir force
across the synapse with distance between the two "plates" of about 10 nm would be (.014 * 1.06 x 10-34 Js
* 3 x 108 m/s)/(10-8m)4. Assuming the maximum width of a synapse is 2 um and is square-shaped the area
would be 4 x 10-12 m2, the force would be .52 x 10-6 N and when applied across 10-8 m the energy would be
.52 x 10-14 J.
Although this is a small energy, the frequency equivalence according to J=hf would be .52 x 10-14 J/6.626 x
10-34 J s or .078 x 1020 Hz. The equivalent wavelength, assuming the velocity of light would be (3 x 108
m/s)/(.078 x 1020 Hz) or 38 x 10-12 m or 38 pm which is within measurement error of the atomic radius for
neutral hydrogen (Persinger and Koren, 2007). Such solutions would be expected for the critical
increments of space, such as the interneuron interface (the synapse) and the plasma membrane that
connect the intrinsic quantum effect with the macrocosmic expression of consciousness.
The relationships remain systematic within smaller functional spaces. If the distance between the
boundary is about 1 nm, which is the closest integer to the 0.6 nm layer of charge that creates the
membrane potential, the Casimir force between both sides of this thin layer of charge over the area of a
pre- or post-synaptic area would be 5.2 x 10-11 J which has an equivalent frequency of .785 x 1023 Hz and
resulting wavelength of about 4 x 10-15 m. This is proximal to the radius of the classical electron and the
proton.
However for entanglement to have the potential to relate the particle to the universe there must be an
integrating factor such that each unit is mapped upon the whole (Koren and Persinger, 2010). The Casimir
solution for the surface of the known universe as two plates with the inner plate defined by the average
intrinsic pressure is 54 um or 5.55 x 1012 Hz (THz). The energy equivalence from Planck's constant is 3.7 x
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
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10-21 J which results, when divided by the unit charge of 1.6 x 10-19 As, is a value of about 22 mV. This is
within the range of potential difference across many cell membranes, particularly those that are prone to
burst-firing. Such patterns are important for both the encoding and retrieval of information within brain
space.
Changes in the spatial dimensions that support the organization of particles, such as protons, and hence
the properties of their aggregates (atoms) might also be considered. If the Casimir force manifests matter
from virtual particles based upon applications to a changing boundary of the structure of space, then a
change in the configurational frequency of space might allow elements to change spatial geometry. The
altered spatial organization could result in different elements without fission or fusion that involves
massive displays of energy.
For example what levels of energy would be required to represent the difference between lead (Pb) and
gold (Au) if the radii of their nuclei are assumed to be 7.1 x 10-15 m and 7.3 x 10-15 m, respectively? The
classic gold (Au) atom has a force/charge solution of: (9 x 109 Nm2/Coul2 * 79 * 1.6 x 10-19 Coul)/ 7.3 x 10-15
m, or, 21.347 x 1020 N/Coul or V/m. This is an extraordinary value at the levels of macrospace.
However at the level of Planck's length which is 1.62 x 10-35 m, the product is 3.4497 x 10-14 V. The effect of
this potential difference on a charge of 1.6 x 10-19 A s results in an energy of 5.55195 x 10-33 J. Using
Planck's constant, the resulting frequency is about 8.3 Hz. The energy difference if Pb shifted to Au or 82
Daltons to 79 Daltons, assuming a radius of 7 x 10-15 m would be 6.24 x 10-33 J. This is equivalent to
frequency of 9.4 Hz. Both frequencies are within the peak power of cerebrum function during alpha
activity, associated with imagination and relaxation, and approach the intrinsic fundamental oscillation
within the earth-ionospheric resonance system, the Schuman resonance.
4.4 Accessing Zero Potential Energy
5 1/2 or about 2.8 x 109 J or 1.7 GeV.
The voltage associated with that energy is J/q or 2.8 x 10-10 V. The classic frequency of 40 Hz associated
with consciousness is associated with 264 x 10-34 J. The magnetic field strength sufficient to affect the spin
magnetic moment of 9.78 x 10-24 J/T would be 27 x 10-10 T (about 3 nT). The area associated with this
magnetic field strength, electric field, and frequency according to m2=V/fB is 5 cm which is average radius
of the human cerebrum.
From this perspective spaces with radii in the range of the human cerebrum could have access to the
energy associated with the zero point fluctuations (Puthoff, 1989). The frequency associated with the
5 43 Hz. The square root of this
value is 5.7 x 1021 -12 
assume the frequency density of the cerebrum is within the 100 Hz range, then multiplying by the square
 -11 J. Consequently the energy for
the entire brain resonance of 100 Hz (or 10 ms increments) would be within the range generated by a 100
million neurons firing around 10 Hz.
4.5 Comparable Energy Density of Universal Space and the Human Brain.
Given a pressure of 1.5 x 10-10 Pa (kg/ms2) the force associated with a cross sectional area of 1.12 x 1053 m2
(the area of the universe's boundary assuming a radius of 1026 m) is 1.68 x 1043 N. When this value is
multiplied by the length of 9.47 x 1025 M the resulting energy is 1.59 x 1069 J. This value is comparable to
the equivalent for the mass of the universe of 1052 kg (Persinger, 2009) and is remarkably similar to that
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
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obtained with the relativistic equation.
The energy density for the universe would be 1.59 x 1069 J divided by the estimated volume 3.57 x 1078 m3
(if one assumes a sphere) or 0.44 x 10-9 J/m3. Within the volume of the human brain this would be 5.7 x 10-
13 J. Because each action potential with a net change of 120 mV is associated with an energy on a unit
charge of 10-20 J, which is also the energy required to stack a base on a sequence of RNA, the total number
of action potentials that would be equivalent to the universal energy density is 5.7 x 107. If we assume the
average power of the brain is around 10 Hz and this reflects the average numbers of action potentials per
neuron, only a total of about 6 million neurons within the cerebral cortices would be required to match
this universal density.
4.6 The Problem of Entanglement from the Future
Hu a-
referential spin processes which are the integrating function for space-time dynamics, quantum
mechanics, and consciousness. The entanglement that occurred in pre-space time between electrons
involved exchanging one or more entangling photons. One possible consequence of this connection is that
what will happen within the boundaries of the age of the universe has been implicitly structured.
This concept is congruent with the boundary condition of Nyquist limits applied to the relationship
                
phenomena as functional wholes, there is an intrinsic correlation (Persinger, 1999). To view picometer
space one requires a minimum increment of picosecond time; to view millimetre space one requires

occurs with the maximum possible 
perspective, there is no process and no time, but only a static, non changing single unit.
One approach to understand how intrinsic pre-spacetime entanglement might affect future events is to
assume G is associated with the duration of matter within the universe. A function could be derived that
relates this constant to time from which a quantitative value could be calculated. Dimensional analysis
allows G(N m2/kg2) to be equivalent to the product of the inverse of density (m3/kg) and squared
frequency (1/s2). Hence Hz2=G/(1/d) which is 3.33 x 10-19 Hz and the inverse is 3 x 1018 s. The duration is
equivalent to about 95 billion years.
This constraint would suggest at the current estimate of 10 to 13.3 billion years only about 10% to 15% of

to be displayed? If there are two forms of energy, potential and kinetic, might there also be two types of
matter: kinetic and potential? The amount of one would be the inverse of the other.
The most likely (known) moderating process for such transtemporal connection would be the photon. It
may not be coincidence that the energy associated with the age (or frequency) of the universe, about 4 x
1017 s would have a value of 6.6 x 10-34 J s * .24 x 10-17 Hz or about 2 x 10-51 J. This value is remarkably
similar to the upper limits of the rest mass (about 10-51 kg) of a photon which is a quantity expected
following the removal of c2 from the relationship. One interpretation of this apparent identity is that the
energy contained within a photon with a velocity near c contains the information of and a connection with
the age of the universe and supports the assumptions of quantum philosophy (Horgan 1992) and Hu and
Wu (2006).
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Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
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4.7 The Involvement of Gravitational Energy with Consciousness
Calculations by Ahmed et al (1997) indicated the effects of gravity (as inferred by weightlessness) on the
human EEG, assuming axon conduction of about 20 m/s, was about 2 parts per million. However with 4
m/s, the bulk velocity associated with the cerebral cohesive waves that results in about 7 Hz for its
fundamental resonance (f[n(n+1)/2]1/2   
would be about 2 parts per 10 million. This means that if we assume the transmission is by hydrogen (90%
of the universe) with a peak emission of 1.42 GHz (21 cm) one complete phase shift from one peak to the
next would require 2 x 107 divided by 1.42 x 109 1/s (Hz) or about 14 msec. This would suggest that
processes associated with gravity could affect the phase modulation of cerebral activity.
Minakov et al (1992) explored the conditions by which gravitational waves might be converted into
electromagnetic waves. An interface occurred when the gravitational wave interacted with a static electric
             
resonances, which display a fundamental frequency of about 8 Hz and higher-order modes separated by
about 5 Hz to 6 Hz (Schlegel and Füllekrug, 1999) operates within this resonator. The most powerful
amplification region for gravity-to-electromagnetic conversion occurred within the second global
Schumann resonance of about f=14 Hz. In this frequency band detection of gravity waves was increased by
an order of magnitude.
The physical intensities of the Schumann frequencies as well as their patterns are remarkably similar to
those of the human brain. As shown by Konig and his colleagues (1981) the major temporal structures,
such as delta, alpha, and beta patterns, that typify the electroencephalographic frequencies of the human
brain are generated within the shell between the earth and the ionosphere. The magnetic component of
the Schumann resonances between 7 and 40 Hz is within 10 to 100 pT (10-12 T) while the electric
component is in the order of 10-2 V/m.
Phase modulation, which has been considered the most optimal means to propagate the most information
        2/c2]. Because most of the electromagnetic fields

et al (2005). This means the phase shift for every second is 1/.9897 or 16 ms. This value is congruent with
the phase comparisons of approximately 10 to 20 ms associated with the continuous 40 Hz oscillations
over the entire cerebral mantle (Llinas and Ribary, 1993). Such convergence sets the conditions for
resonance exchange of information between the cerebrum and the geophysical, electromagnetic-
gravitational environment.
Quantitative shifts in this sensitivity could be modulated by minute but discrete shifts in the Schumann
resonance parameters. Technically the S -e ) *
1/h2) where c is the velocity of light, re 1 (40 km to 50 km) and h2 (75 km to 90
km) are two characteristic heights in the D region of the ionosphere. Schlegel and Füllekrug (1999) found
that during strong solar proton events with durations between about 3 days to 3 weeks, the amplitude of
the Schumann resonance increased by about 0.2 pT (range =-0.1 to +0.4 pT) while the frequency increased
between 0.05 Hz to 0.14 Hz.
               
frequency of about .28 x 10-2 Hz or 2.8 mHz. This is within the range of resonant oscillations (with
amplitudes in the order of 0.5 nGal or 5 x 10-12 m/s2) between the earth and the atmosphere as recorded
by Nishida et al (2000). For a human weighing 70 kg this would be a force of 3.5 x 10-10 N and with cross
section of .25 m2 the resulting pressure would be 5.8 x 10-9 Pa. When applied to the person's volume the
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
804
energy would be 4 x 10-12 J which is equivalent to about 2 x 10-11 W/m2. This is within the range of the
photon output from the right hemisphere of volunteers while they were thinking of white light (Dotta and
Persinger, 2010). If we know the energy then we can calculate the equivalent magnetic field (B2=Jµ2/m3). It

person who displayed a history of potential entanglements between his experiences and those of others
(Persinger, 2010b).
The amplitude of the power spectral density for the 3 mHz to 5 mHz band was in the order of 3 x 10-18
m2/s3 (Nishida et al, 2000). When acting upon a human mass of about 70 kg the power would be about 2 x
10-16 W or the equivalent of about 104 action potentials. However the effect would not be immediate but
require the integration or sum of these potentials over 3 to 6 min, or, on average about 4 minutes. This is
the time required for magnetic diffusivity if al       
magnetic field.
That the value of G itself might be correlated with geomagnetic activity has been measured. Vladimirskii &
Temuryants (1996) found that during periods of minimum geomagnetic activity the values for G were
higher. This correlation occurred within the range of 10-13 to 10-14 values for G (whose primary value is 10-
11). Because a major peak in power during geomagnetic activity is within the mHz, the possibility of a
quantitative connection between the geomagnetic field, within which human brains are immersed and
likely connected, and information from gravitational phenomena would have significant implications for
the experimental demonstration of entanglement.
References
Aczel, A.D. Entanglement: the greatest mystery of physics (Vancouver: Raincoast Books, 2002).
Ahn, J., Weinacht, T.C. & Bucksbaum, P.H. Information storage and retrieval through quantum phase. Science,
2000; 287: 463-465.
Ahmed, S.N., Kamal, S.A., Siddiqui, K.A., Husain, S.A. & Naeem, M. EEG in weightlessness a theoretical estimate.
Kar Univ J Sc, 1997; 25: 19-24.
Alberts, B., Johnson, A., Lewis, J., Raff, M., Roberts, M., Roberts, K. & Walter, P. Molecular biology of the cell (New
York: Garland Science, 2002).
Arnesen, M.C., Bose, S. & Vedral, V. Natural thermal and magnetic entanglement in the 1D Heisenberg model.
Physical Review Letters, 2001; 87: 017901-1 017901-4.
Bancaud, J., Brunet-Bourgin, F., Chauvel, P. & Halgren, E. Anatomical origin of déjà vu and v  
human temporal lobe epilepsy. Brain, 1994; 117: 71-90.
Bear, M.F. A synaptic basis for memory storage in the cerebral cortex. Proceedings of the National Academy of
Scicences USA, 1996; 93: 13453-13459.
Bohr, N. Atomic physics and human knowledge (New York: John Wiley & Sons, Inc. 1958).
Bokkon, I. Dreams and neuroholography: an interdisciplinary interpretation of development of homeotherm state
in evolution. Sleep and Hypnosis, 2005; 7: 61-76.
Booth, J.N., Koren, S.A. & Persinger, M.A. Increased feelings of the sensed presence and increased geomagnetic
activity at the time of the experience during exposures to transcerebral weak complex magnetic fields.
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
805
International Journal of Neuroscience, 2005; 115: 1053-1079.
Cook, C.M., Koren, S.A. & Persinger, M.A. Subjective estimation by humans is increased by counterclockwise but
not clockwise circumcerebral rotations of phase-shifting magnetic pulses in the horizontal plane. Neuroscience
Letters, 1999; 268: 61-64.
Cheng-Yu, L.T., Mu-ming, P. & Yang, D. Burst spiking of a single cortical neuron modifies global brain state. Science,
2009; 324: 643-646.
Cramer, J.G. Quantum nonlocality and the possibility of super-luminal effects. Proceedings of the NASA
breakthrough propulsion physics workshop (Clevland, 1997).
Dotta, B.T., Mulligan, B.P., Hunter, M.D. & Persinger, M.A. Evidence of macroscopic quantum entanglement during
double quantitative electroencephalographic measurements of
Dotta, B.T. & Persinger, M.A. Enhanced photon emission from the right but not the left side of the head while
imagining light in the dark: possible support for the Bokkon biophoton hypothesis, 2010; in submission.
El Naschie, M.S. A review of E infinity theory and the mass spectrum of high energy particle physics. Chaos, Solitons
& Fractals 2004; 19: 209-236.
Hill, C.D. Robust CNOT gates from almost any interaction. Physical Review Letters, 2007; 98: 180501.
Horgan, J. Quantum philosophy. Scientific American, 1992; 262: 94-104.
Houwelling, A.R. & Brecht, M. Behavioural report of s single neuron in somatosensory cortex. Nature, 2008; 451:
65-68.
Hu, H. & Wu, M. Thinking outside the box: the essence and implications of quantum entanglement.
NeuroQuantology, 2006; 4: 5-16.
Koenig, T., Prichep, L., Lehmann, D., Sosa, P.V., Braeker, E., Kleinlogel, H., Isenhart, R., & John, E.R. Millisecond by
millisecond, year by year: normative EEG microstates and developmental stages. NeuroImage, 2002; 16: 41-48.
Konig, H.L., Krueger, A.P., Lang, S., Sonning, W. Biological effects of environmental electromagnetism (New York:
Springer-Verlag, 1981).
Koren, S. A. & Persinger, M. A. The Casimir force along the universal boundary: quantitative solutions and
implications. Journal of Physics, Astrophysics and Physical Cosmology, 2010, in press.
Korotaev, S.M., Morozov, A.N., Serdyuk, V.O., Gorohov, J.V. & Machinin, V.A. Experimental study of macroscopc
nonlocality of large-scale natural dissipative processes. NeuroQuantology, 2005; 3: 275-294.
Korotaev, S.M. Experimental study of advanced correlation of some geophysical and astrophysical processes.
International Journal of Computing anticipatory systems, 2006; 17: 61-76.
Lipnicki, D.M. An association between geomagnetic activity and dream bizarreness. Medical Hypotheses, 2009; 73:
115-117.
Llinas, R., & Ribardy, U. Coherent 40-Hz oscillation characterizes dream state in humans. Proceedings from the
National Academy of Sciences USA, 1993; 90: 2078-2081.
Marks, G. A., Shaffery, J. P., Oksenberg, A., Speciale, S. G. & Roffwarg, H. P. A functional role for REM sleep in brain
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
806
maturation. Behavioural Brain Research, 1995; 69: 1-11.
Minakov, A.A., Nikolaenko, A.P. & Rabinovich, L.M. Gravitational-to-electromagnetic wave conversion
inelectrostatic field of earth-ionosphere resonator. Radiophysics and Quantum Electronics, 1992; 35: 318-323.
Mulligan, B.P., Hunter, M.D. & Persinger, M.A. Effects of geomagnetic activity and atmospheric power variations on
quantitative measures of brain activity: replication of the Azerbaijani studies. Advances in Space Research, 2010;
45: 940-948.
Nishida, K., Kobayashi, N., Fukao, Y. Resonant oscillations between the solid earth and the atmosphere. Science,
2000; 287: 2244-2247.
Nunez, P.L. Neocortical dynamics and human EEG rhythms. (London: Oxford University Press, 1995).
Persinger, M.A. & Lafreniere, G.F. Space-time transients and unusual events. (Chicago: Nelson-Hall, 1977).
Persinger, M.A. & Schaut, G.B. Geomagnetic factors in subjective telepathic, precognitive and postmortem
experiences. Journal of the American Society for Psychical Research, 1988; 82: 217-235.
Persinger, M.A. & Krippner, S. Experimental dream telepathy, clairvoyance and geomagnetic activity. Journal of the
American Society for Psychical Research, 1989; 83: 101-116.
Persinger, M. A. Geophysical variables and behavior: LXI. Differential contribution of geomagnetic activity to
paranormal experiences concerning death and crisis: an alternative to the ESP hypothesis. Perceptual and Motor
Skills, 1993, 76: 555-562.
Persinger, M.A. On the nature of space-time in perception of the phenomena in science. Perceptual and Motor
Skills, 1999; 88: 391-397.
Persinger, M.A., Roll, W.G., Tiller, S.G., Koren, S.A. & Cook, C.M. Remote viewing with the artist Ingo Swann:
neuropsychological profile, electroencephalographic correlates, magnetic resonance imagine (MRI), and possible
mechanisms. Perceptual and Motor Skills, 2002; 94: 927-949.
Persinger, M.A., Koren, S.A. & Tsang, E.W. Enhanced power within a specific band of theta activity in one person
while another receives circumcerebral pulsed magnetic fields: a mechanism for cognitive influence at a distance?
Perceptual and Motor Skills, 2003; 97: 877-894..
Persinger, M.A. & Koren, S.A. A theory of neurophysics and quantum neuroscience: implications for brain function
and the limits of consciousness. International Journal of Neuroscience, 2007; 117: 157-175.
Persinger, M.A. On the possible representation of the electromagnetic equivalents of all adult memory within the
: implications for theoretical biology. Theoretical Biology Insights, 2008; 1: 3-11.
Persinger, M.A., Koren, S.A. & Lafreniere, G.F. A neuroquantologic approach to how human thought might affect
the universe. Neuroquantology, 2008a; 6: 262-271.
Persinger, M.A., Meli, S. & Koren, S.A. Quantitative discrepancy in cerebral hemispheric temperature associated
ted by neuroQuantum relations. NeuroQuantology, 2008b; 6: 369-378.
Persinger, M.A., Tsang, E.W., Booth, J.N., & Koren, S.A. Enhanced power within a predicted narrow band of theta
activity during stimulation of abother by circumcerebral weak magnetic fields after weekly spatial proximity:
evidence for macroscopic entanglement? NeuroQuantology, 2008c; 6: 7-21.
Journal of Consciousness Exploration & Research| October 2010 | Vol. 1 | Issue 7 | pp. 785-807
Persinger, M. A. & Lavallee, C. F. Theoretical and Experimental Evidence of Macroscopic Entanglement between
Human Brain Activity and Photon Emissions: Implications for Quantum Consciousness and Future Applications
ISSN: 2153-8212
Journal of Consciousness Exploration & Research
Published by QuantumDream, Inc.
www.JCER.com
807
Persinger, M.A. A simple estimate for the mass of the universe: dimensionless Parameter A and the construct of
Journal of Physics, Astrophysics and Physical Cosmology, 2009; 3: 1-3.
Persinger, M. A. 10-20 J as a neuromolecular quantum in medicinal chemistry: an alternative approach to myriad
molecular pathways? Current Medicinal Chemistry, 2010; 17: 3094-3098.
Persinger, M.A. The Harribance effect as pervasive out-of-body experiences: NeuroQuantal evidence with more
precise measurements. NeuroQuantology, 2010b; 8(4): in press.
Popp, F.A. On the coherence of ultraweak photon emission from living tissues. Disequilibrium and self-
organization, 1986; 207-230.
Schlegel, K. & Fullekrug, M. Schumann resonance parameter changes during high-energy partice precipitation.
Journal of Geophysical Research, 1999; 104: 10111-10118.
Schrodinger, E. Discussion of the probability relations between separated systems. Proceedings of the Cambridge
Philosophical Society, 1935; 31: 555-563.
Tu, L.C., Luo, J., Gilles, G.T. The mass of the photon. Reports on Progress in Physics, 2005; 68: 77-130.
Vaziri, A., Weihs, G., Zeilinger, A. Experimental two-photon, three-dimensional entanglement for quantum
communication. Physics Review Letters, 2002; 89: 1-4.
Vladimirskii, B. M. & Temuryants, N. A. Nuclear magnetic resonance in the geomagnetic field: the possible
mechanism of action f weak electromagnetic fields on biological and physicochemical systems. Biophysics, 1996;
41: 939-942.
Volland, H. Global, quasti-static environment. In H. Dolezalek & R. Reiter (eds) Electrical
processes in atmospheres. Dr. Dietrich Stinkoff Verlag: Darmstat, 1977, pp. 509-528.
Winch, D. E., Ivers, D. J., Turner, J. P. R. & Stening, R. J. Geomagnetism and Schmidt quasi-normalization.
Geophysical Journal International, 2005; 160: 487-504.
... Pereira and Furlan 2007; Bokkon et al. 2009 Bokkon et al. , 2013Persinger 2008;Cifra et al. 2010;Persinger and Lavallee 2010; Dotta 2013; Rouleau 2014; Pereira 2015; Meijer and Geesink 2019; Meijer 2023). These particular cellular sensors are composed of flexible structures of proteins, oligonucleotides, and elements of the cell skeleton that mutually communicate through discrete wave resonances and are instrumental in mediating fluxes of photons, phonons (sound particles), and related quasi-particles such as polarons (phonon covered protons and electrons) ...
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This paper pays special attention to the interfacing of the field of universal consciousness and our personal brain in relation to a potential afterlife and postulates a toroidal event horizon workspace of the brain that allows a symmetric 4-Dimensional (4-D) to 3-Dimensional (3-D) quantum information flux and holographic personal memory integration. The geometry of a 3-D brain, embedded in a 4-D realm, may explain the phenomena of functional brain binding, qualia, intuition, serendipity, synchronicity, extra-sensory perception, and other well-established parapsychological phenomena. Brain function is conceptualized as guided by the Zero-point Energy (ZPE) Field (ZPF)-derived pilot waves that support consciousness, even in the absence of neuronal activity, such as in Near-Death Experiences (NDE). The brain's toroidal organization exhibits quaternionic dynamics and thereby allows an opening to 4-D geometry and, consequently, to universal consciousness and the ZPF. This personal holographic workspace, that is associated with but not reducible to the brain, collects active information in a "brain event horizon," as an internal and fully integral model of the self. At death or transition of our material body, this personal mental knowledge domain dissociates from the body, yet it is retained because entangled and meaningful quantum information can never be destroyed. In NDE, this uncoupling is only temporal, but reveals universal consciousness in a fully transparent manner, since in this condition non-neuronal information processing is preserved. This preservation occurs through fractal semi-harmonic frequencies, from the ZPE field, that reflect an entangled personal register of each conscious being. The proposed concept, therefore, contradicts the tentative and promissory materialist solution to the mind-body problem. Instead, it substantiates the notion that the brain can act as a kind of "receiver" by filtering (sub)conscious states through holographic resonance with universal consciousness through specific coherent oscillation domains in the body. Yet, it is recognized that our self-consciousness can also act as a damping filter for information from this universal knowledge field. The latter aspect of a "dual filter theory" is apparently perturbed at states of modified brain function such as NDE, deep meditation, and use of psychomimetic drugs, that all expose us to an unknown cosmic perspective. The presence of a mental, field-receptive, resonant workspace, might be termed our "supervening double" (or "soul," not implying religious doctrine), and provides an interpretation framework for widely reported but poorly understood transpersonal conscious states. These may even imply that death can be conceived as a transition to another state of existence, yet we realize that all of us already belong to such an eternal domain in our present lives. Therefore, the present model may imply the potential for the survival of individual consciousness, qualifying conscious individuals as designated survivors and eternal beings. La survie de la conscience et l'anticipation d'une vie après la mort d'après la physique actuelle Résumé Cet article accorde une attention particulière à l'interface entre le champ de la conscience universelle et notre cerveau individuel en relation avec une éventuelle vie après la mort. Il postule un espace de travail toroïde de l'horizon des événements du cerveau qui permet un flux d'information quantique symétrique de 4 dimensions (4-D) à 3 dimensions (3-D) et une intégration holographique de la mémoire individuelle. La géométrie d'un cerveau tridimensionnel intégrée dans un domaine quadridimensionnel peut expliquer les phénomènes de liaison fonctionnelle du cerveau, de qualia, d'intuition, de sérendipité, de synchronicité, de perception extra-sensorielle et d'autres phénomènes parapsychologiques avérés. La fonction cérébrale est conceptualisée comme étant guidée par des ondes pilotes dérivées du champ d'énergie du point zéro (en anglais : ZPE Zero-point Energy, ZPF Zero-point Energy Field) qui assistent la conscience même en l'absence d'activité neuronale, comme dans les expériences de mort imminente (EMI). L'organisation toroïde du cerveau présente une dynamique de quaternions permettant ainsi une ouverture à la géométrie quadridimensionnelle et, par conséquent, à la conscience universelle et au ZPF. Cet espace de travail holographique personnel-à savoir associé au cerveau mais non réductible à celui-ci-recueille des informations actives dans un "horizon d'événements cérébraux", en qualité de modèle interne et totalement intégral du soi. Lors de la mort, ou transition, de notre corps matériel, ce domaine de connaissance mentale individuelle se dissocie du corps physique, mais il est conservé parce que l'information quantique intrinsèque, significative, ne peut être détruite. Dans l'EMI, ce découplage n'est que temporel, mais il révèle la conscience universelle de manière totalement transparente, puisque dans cet état, le traitement de l'information non-neuronale est conservé. Ceci se produit par le biais de fréquences semi-harmoniques fractales, issues du champ d'énergie du point zéro, qui reflètent un registre personnel intriqué de chaque être conscient. Le concept proposé contredit donc l'option de solution matérialiste, éphémère, momentanée, au problème corps-esprit. En effet, il étaye la notion selon laquelle le cerveau peut agir comme une sorte de "récepteur" en filtrant les états (sub)conscients par résonance holographique avec la conscience universelle, à travers des domaines d'oscillation cohérente spécifiques situés dans notre corps. Ceci étant, nous savons actuellement que notre conscience de soi peut également agir comme un filtre d'amortissement pour les informations provenant de ce champ de connaissance universelle. Ce dernier aspect de la "théorie du double filtre" est apparemment perturbé dans des états de fonction cérébrale modifiée, tels l'EMI, la méditation profonde et l'utilisation de drogues psychomimétiques, du moment qu'ils exposent à une perspective cosmique inconnue. La présence d'un espace de travail mental, réceptif au champ et résonnant, que nous pouvons appeler "double survenant" (ou "âme", sans toutefois impliquer de doctrine religieuse) fournit un cadre d'interprétation pour les états de conscience trans-personnels fréquemment signalés mais encore mal compris. Ces modèles peuvent même impliquer que la mort peut être conçue comme une transition vers un autre état d'existence, bien que nous puissions nous rendre compte, de notre vivant, que nous appartenons tous déjà à un tel domaine éternel. Par conséquent, le modèle que nous proposons peut impliquer le potentiel de survie de la conscience individuelle, qualifiant les individus conscients de survivants désignés et d'êtres éternels.
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This book tries to give an overall view about quantum TGD as it stands now. The topics of this book are following. \begin{enumerate} \item In the first part of the book I will try to give an overall view about the evolution of TGD and about quantum TGD in its recent form. I cannot avoid the use of various concepts without detailed definitions and my hope is that reader only gets a bird's eye of view about TGD. Two visions about physics are discussed. According to the first vision physical states of the Universe correspond to classical spinor fields in the world of the classical worlds identified as 3-surfaces or equivalently as corresponding 4-surfaces analogous to Bohr orbits and identified as special extrema of K\"ahler action. TGD as a generalized number theory vision leading naturally also to the emergence of p-adic physics as physics of\index{cognitive representation} cognitive representations is the second vision. \item The second part of the book is devoted to the vision about physics as infinite-dimensional configuration space geometry. The basic idea is that classical spinor fields in infinite-dimensional \blockquote{world of classical worlds}, space of 3-surfaces in\index{M4×CP2M^4\times CP_2} M4×CP2M^4\times CP_2 describe the quantum states of the Universe. Quantum jump remains the only purely quantal aspect of quantum theory in this approach since there is no quantization at the level of the configuration space. Space-time surfaces correspond to special extremals of the K\"ahler action analogous to\index{Bohr orbit} Bohr orbits and define what might be called classical TGD discussed in the first chapter. The construction of the configuration space geometry and\index{spinor structure} spinor structure are discussed in remaining chapters. \item The third part of the book describes physics as generalized number theory vision. Number theoretical vision involves three loosely related approaches: fusion of real and various\index{p-adic physics} p-adic physics to a larger whole as\index{algebraic continuation} algebraic continuations of what might be called rational physics; space-time as a hyper-quaternionic surface of hyper-octonion space, and space-time surfaces as a representations of\index{infinite prime} infinite primes. \item The first chapter in the third part of the book summarizes the basic ideas related to Neumann algebras known as hyper-finite factors of type II1II_1 about which configuration space\index{Clifford algebra} Clifford algebra represents canonical example. Second chapter is devoted to the basic ideas related to the\index{hierarchy of Planck constants} hierarchy of Planck constants and related generalization of the notion of\index{embedding} embedding space to a book like structure. M8HM^8-H duality: \item The physical applications of TGD are the topic of the second part of the book. The cosmological and astrophysical applications of the many-sheeted space-time are summarized and the applications to elementary particle physics are discussed at the general level. TGD explains particle families in terms of generation genus correspondences (particle families correspond to 2-dimensional topologies labelled by genus). The notion of elementary particle\index{vacuum functional} vacuum functional is developed leading to an argument that the number of light particle families is three is discussed. The general theory for\index{particle massivation} particle massivation based on p-adic thermodynamics is discussed at the general level. The detailed calculations of elementary particle masses are not however carried out in this book. \end{enumerate} \subsection{Organization of \blockquote{TGD: an Overview: Part I}} \blockquote{TGD: an Overview: Part I} tries to give an overall view about quantum TGD as it stands now. The book consists of 3 parts. \begin{enumerate} \item In the first part I will try to give an overall view about the evolution of TGD and about quantum TGD in its recent form. I cannot avoid the use of various concepts without detailed definitions and my hope is that reader only gets a bird's eye of view about TGD. Two visions about physics are discussed. According to the first vision physical states of the Universe correspond to classical spinor fields in the world of the classical worlds identified as 3-surfaces or equivalently as corresponding 4-surfaces analogous to Bohr orbits and identified as special extrema of K\"ahler action. TGD as a generalized number theory vision leading naturally also to the emergence of p-adic physics as physics of\index{cognitive representation} cognitive representations is the second vision. \item The second part is devoted to the vision about physics as infinite-dimensional configuration space geometry. The basic idea is that classical spinor fields in infinite-dimensional \blockquote{world of classical worlds}, space of 3-surfaces in\index{M4×CP2M^4\times CP_2} M4×CP2M^4\times CP_2 describe the quantum states of the Universe. Quantum jump remains the only purely quantal aspect of quantum theory in this approach since there is no quantization at the level of the configuration space. Space-time surfaces correspond to special extremals of the K\"ahler action analogous to\index{Bohr orbit} Bohr orbits and define what might be called classical TGD discussed in the first chapter. The construction of the configuration space geometry and\index{spinor structure} spinor structure are discussed in remaining chapters. \item The third part of the book describes physics as generalized number theory vision. Number theoretical vision involves three loosely related approaches: fusion of real and various\index{p-adic physics} p-adic physics to a larger whole as\index{algebraic continuation} algebraic continuations of what might be called rational physics; space-time as a hyper-quaternionic surface of hyper-octonion space, and space-time surfaces as a representations of\index{infinite prime} infinite primes. \end{enumerate}
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The focus of this book is the number theoretical vision about physics. This vision involves three loosely related parts. \begin{enumerate} \item The fusion of real physic and various p-adic physics to a single larger whole by generalizing the number concept by fusing real numbers and various\index{p-adic number field} p-adic number fields along common rationals. Extensions of p-adic number fields can be introduced by gluing them along common\index{algebraic numbers} algebraic numbers to reals. Algebraic continuation of the physics from rationals and their their extensions to various number fields (completion of rational physics to physics in various number fields) is the key idea and the challenge is to understand whether how one could achieve this\index{dream} dream. A very profound implication is that purely local\index{p-adic physics} p-adic physics codes for the p-adic fractality of long length length scale real physics and vice versa. As a consequence one can understand the origins of p-adic length scale hypothesis and ends up with a very concrete view about space-time correlates of\index{cognition} cognition. The fusion of various p-adic physics to single coherent whole leads to what I call adelic physics \cite{btart}{adelephysics,adelephil}. \item Second part of the vision involves what the classical number fields defined as subspaces of their\index{complexification} complexifications with Minkowskian signature of the metric. The hypothesis is that allowed space-time surfaces correspond to quaternionic sub-manifolds of complexified octonionic space. The proposed interpretation of quaternionicity would in terms of being zero for the real or imaginary part of octonionic polynomial with rational or perhaps even algebraic coefficients. Real/imaginary part refers to a composition of octonion to quaternion and imaginary unit multiplying second quaternion analogous to the decomposition of ordinary complex number to real and imaginary parts. Space-time surface would correspond to imaginary roots (in the sense that they are proportional to the imaginary unit i commuting with the octonionic units). It is argued that this notion of quaternionicity is equivalent with the assumption that the tangent space or normal of space-time surface in M8M^8 at each point is quaternionic. Besides this one assumes that one can assign to each point of space-time surface a complex plane Mc2M^2_c as subspace of the quaternionic plane Mc4M^4_c. These planes could even depend on point of space-time surface and define an integrable distribution - kind of string world sheet. Quaternionicity of the tangent plane in this sense allows to map the space-time surface in M8M^8 to a space-time surface in H=M4×CP2H=M^4\times CP_2. This involves a projection to M4M^4 in the decomposition M8=M4×C2M^8= M^4\times C_2 and the assignment to the point of space-time surface point of CP2CP_2 labelling its tangent space. It is not clear whether one can assign also to each point of space-time surface in H a quaternionic tangent or normal in the tangent space M8M^8 of H. In the case in H this plane could be the tangent/normal plane defined by the modified\index{gamma matrices} gamma matrices or induced gamma matrices. These two planes co-incide with each other only for action defined by the\index{metric determinant} metric determinant. Hence the basic variational principle of TGD would have deep number theoretic content. Reduction to a closed form would also mean that classical TGD would define a generalized topological field theory with\index{Noether charge} Noether charges defining topological invariants. \item The third part of the vision involves\index{infinite prime} infinite primes, which can be identified in terms of an infinite hierarchy of second quantized arithmetic quantum fields theories on one hand, and as having representations as space-time surfaces analogous to zero surfaces of polynomials on the other hand. In this framework space-time surface would represent an infinite number. This vision leads also the conclusion that single point of space-time has an infinitely complex structure since real unity can be represented as a ratio of infinite numbers in infinitely many ways each having its own number theoretic anatomy. Thus single space-time point is in principle able to represent in its structure the quantum state of the entire universe. This number theoretic variant of Brahman=Atman identity also means that Universe is an\index{algebraic hologram} algebraic hologram. \end{enumerate} Besides this holy trinity I will discuss also loosely related topics. Included are the possible applications of the category theory in TGD and in TGD inspired theory of\index{consciousness} consciousness; various TGD inspired considerations related to\index{Riemann} Riemann hypothesis - in particular, a strategy for proving\index{Riemann hypothesis} Riemann hypothesis using a modification of Hilbert-Polya conjecture replacing quantum states with coherent states of a unique conformally invariant physical system; topological quantum computation in TGD Universe; and TGD inspired approach to Langlands program. \subsection{Organization of \blockquote{Quantum Physics as Number Theory: Part I}} The first of "Quantum Physics as Number Theory: Part I" decomposes into two 2 parts. \begin{enumerate} \item In the first part of the book the number theoretical vision is introduced. The first chapter describes p-adicization program, second chapter introduces the ideas related to classical number fields and algebraic physics, and the third chapter summarizes the rather speculative notion of infinite primes having amazing structural similarities with a repeatedly second quantized arithmetic super-symmetric quantum field theory with single particle states labelled by primes. Although the notion of infinite primes sounds rather academic, it might have deep physical content (infinite primes are finite in p-adic topologies). The hierarchy of infinite primes could relate to the hierarchies of space-time sheets, of extensions of rationals, and of supersymplectic and other alagras appearing in quantum TGD. \item In the first five chapters of the second part of the book p-adic numbers, and the fusion of various p-adic physics to single coherent whole eventually leading to the notion of adelic physics as a fusion of physics of sensory experience and cognition are discussed. \end{enumerate}
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The general ideas of the book \blockquote{Quantum TGD} have been already described in its first part so that only the organization of the contents of \blockquote{Quantum TGD:Part III} will be explained here. The TGD view of twistors has evolved gradually over the years. The key idea is to replace the twistor space of M4M^4 as a sphere bundle over M4M^4 with the 12-D product of twistor spaces of M4M^4 and CP2CP_2. These two spaces are completely unique in that their twistor spaces allow a K\"ahler structure. Therefore the existence of the twistor space of H with K\"ahler structure would fix TGD uniquely. Twistor space for 4-geometry exists only if the Weyl tensor of the 4-geometry vanishes so that the geometry is conformally flat. The Weyl tensor does not vanish for CP2CP_2 but the modified spinor structure solves this problem. Since H allows a twistor structure, the natural proposal is that it induces twistor structure to 4-D space-time surfaces. They would be replaced with 6-D sphere bundles as 6-surfaces in 12-D twistor space of H and would be obtained by an analog of dimensional reduction for 6-D K\"ahler action for induced twistors. If the holography for space-time surfaces reduces to a 4-D analog of 2-D holomorphy, the twistor spaces of 4-surfaces would be highly uniquely determined. The second key problem of the ordinary twistor theory is that the particles must be massless. In TGD, the interpretation of massive particles in 4-D sense as massless particles in 8-D sense would resolve the problem. The evolution of the ideas about twistor lift of TGD have developed through many twists and turns and the chapters of this book should give an idea about this development. The last chapter is the recent vision about the construction of the twistor amplitudes and involves number theoretic notions, in particular Galois confinement.
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The number theoretic vision of physics, which I have referred to as adelic physics, combines real number based physics as physics of sensory experience and various p-adic physics as physics of cognition to a large structure, adelic physics. The basic prediction is that evolution as an increase of algebraic complexity of space-time surfaces and of quantum states is unavoidable and corresponds to the increase of the dimension of algebraic extension associated with a given space-time region. The prediction follows from the requirement of number theoretical universality satisfied if space-time regions are determined by polynomials with integer coefficients smaller than the degree of the polynomial. The hierarchy of Planck constants is the basic new physics element predicted by adelic physics. Together with zero energy ontology (ZEO) this leads to a general view of biology. In particular, ZEO predicts that the arrow of time changes in the TGD counterparts of ordinary state function reductions and this provides a new view of biological self-organization and homeostasis. The book \blockquote{Evolution in TGD Universe} is divided into three parts. \begin{enumerate} \item The first part is devoted to general ideas and begins with a chapter about adelic physics followed by chapters about prebiotic evolution. \item In the second part the role of quantum gravitation in evolution is discussed. TGD predicts quantum gravitational coherence even in astrophysical scales and this together with ZEO has dramatic consequences concerning biology and also other systems since they are expected to couple with the magnetic bodies of the Sun, planets and even moons. I will also consider TGD variant of expanding Earth model explaining several strange findings about Cambrian explosion and suggesting a direct link between biology and cosmic expansion as TGD describes it. TGD predicts that even very simple systems can possess life-like properties: this is due to the magnetic body, which carries dark matter and serves as the "boss" of the biological body. A system of plastic balls is discussed as an example of this kind of system. \end{enumerate}
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The overall view of the topics of the book is given in the first part of the book and only the organization of the contents of "TGD Inspired Theory of Consciousness: Part II" is represented. The topics of the book are organized in the following manner. \begin{enumerate} \item The first part of the book summarizes the TGD view about intelligence and cognition. p-Adic physics as physics of cognition and perhaps also \index{intentionality} intentionality and many-fermion states as representations of Boolean statements are the key notions. In zero energy ontology also quantal versions of logical rules ABA\rightarrow B realized as quantum variants of\index{Boolean functions} Boolean functions emerge at the fundamental level. Also a chapter describing a general vision of adelic physics as a mathematical description of physics of both sensory experience and cognition in the evolution of cognition and intelligence is included. A chapter about the role of\index{dark matter} dark matter hierarchy, in particular about topological quantum computation as a universal information processing tool would be needed but is left to a separate book about quantum computation and its relation to ordinary computation. \item In the second part of the book TGD inspired theory of consciousness is compared to other theories of consciousness including integrated information theory (IIT). \end{enumerate}
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The book "Dark Matter and TGD" is organized into two parts. \begin{enumerate} \item The first part is devoted to the basic ideas related to hierarchy of Planck constants and the applications of the emerging vision. The idea about\index{hierarchy of Planck constants} hierarchy of Planck constants emerged from anomalies of biology and the strange finding of Nottale that planetary orbits might be regarded in a reasonable approximation as Bohr orbits but with a gigantic value of Planck constant. This led to the vision that dark matter corresponds to ordinary particles but with non-standard value of Planck constant and to a generalization of the 8-D embedding space to a book-like structure with pages partially characterized by the value of Planck constant. Later it turned out that the number theoretic vision of TGD predicts a hierarchy of effective Planck constants heff=nh0h_{eff}=nh_0, where n corresponds to the dimension of an algebraic extension of rationals assignable to the regions of space-time considered. Dark matter in this sense would reside at the magnetic body of the system, which replaces the magnetic fields of the Maxwellian theory. This would explain the failure to detect dark matter. A large value of Planck constant means a long range of quantum coherence naturally assignable to quantum critical systems characterized by long range quantum fluctuations. Therefore dark matter could be generated at quantum criticality assignable to the magnetic body of the system consisting of ordinary matter and perhaps associated with the thermodynamical criticality of the ordinary matter. \item In the second part some applications are discussed. There are four chapters devoted to the applications of TGD view about quantum criticality and in various fields of physics and also in biology. There is also a chapter about the Nottale's formula for the gravitational Planck constant hgr=GMm/v0=ngrh0h_{gr}= GMm/v_0 = n_{gr}h_0. There are arguments suggesting how the value of the velocity parameter v0<cv_0<c is determined. The TGD variant of Nottale's hypothesis has turned out to play a key role in the TGD based view of quantum gravitation having profound implications for living matter and consciousness. \end{enumerate}
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Homeotherm state can bear a relationship to development of self-cognitive consciousness in evolution. Both explicit memory and consciousness could arise from sleep and dreams. In evolution several biomolecular and biophysical mechanisms have been developed, which made possible the formation of strong coherence of the information system in the brain. This coherence can serve as a basis of explicit holograph-like information system in the brain. This article, although not going into details about neuromolecular, biophysical or biophoton processes, proposes a relationship between thermoregulation and biophysical (biophoton) informational processes in the cells of the brain. it does not claim to solve the secret of consciousness, but points out that biophotons play an important role in information processes of the brain during sleep, dreams and wakefulness, and the brain can operate by pictures during thinking.
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Chaos, Solitons & Fractals Volume 19, Issue 1, January 2004, Pages 209–236 Cover image A review of E infinity theory and the mass spectrum of high energy particle physics M.S. El Naschie Show more doi:10.1016/S0960-0779(03)00278-9 Get rights and content Abstract The essay outlines the basic conceptual framework of a new space–time theory with application to high energy particle physics. Both achievements and limitations are discussed with direct reference to the mass spectrum problem. 1. The main purpose of the present work In what follows we would like to give a short account of the so-called E infinity (ε(∞)) theory, the main application of which has been so far in determining coupling constants and the mass spectrum of the standard model of elementary particles. I am afraid I will have to make a long story (which took many years of work) quite short with all of what this entails in reading it. The results of E infinity are at present contained in dozens of published papers too numerous to refer to them all, but for the purpose of filling the gaps in the present summary, half a dozen papers which are mentioned at the end may offer good help in overcoming the inevitable shortcomings in a condensed presentation (see Ref. [1], [2], [3], [4], [5], [6] and [7]). 2. An outline of the conceptual framework of the theory 2.1. General remarks The main conceptual idea of my work (which is encoded in Fig. 1 and Fig. 5) is in fact a sweeping generalisation of what Einstein did in his general theory of relativity, namely introducing a new geometry for space–time which differs considerably from the space–time of our sensual experience. This space–time is taken for granted to be Euclidean. By contrast, general relativity persuaded us that the Euclidean 3 + 1 dimensional space–time is only an approximation and that the true geometry of the universe in the large, is in reality a four dimensional curved manifold. In E infinity we take a similar step and allege that space–time at quantum scales is far from being the smooth, flat and passive space which we use in classical physics [1], [2] and [3]. On extremely small scales, at very high observational resolution equivalent to a very high energy, space–time resembles a stormy ocean [1]. The picture of a stormy ocean is very suggestive and may come truly close to what we think the high energy regime of the quantum world probably looks like (see Fig. 1, Fig. 2, Fig. 3 and Fig. 4). However such a picture is not accessible to mathematical formulation, let alone an exacting solution. The crucial step in E infinity formulation was to identify the stormy ocean with vacuum fluctuation and in turn to model this fluctuation using the mathematical tools of non-linear dynamics, complexity theory and chaos [1], [8] and [9]. In particular the geometry of chaotic dynamics, namely fractal geometry is reduced to its quintessence, i.e. Cantor sets (see Fig. 5) and employed directly in the geometrical description of the fluctuation of the vacuum. How this is done and how to proceed from there to calculating for instance the mass spectrum of high energy elementary particles is what I will try to explain and summarise in the following essay. Full-size image (112 K) Fig. 1. Tiling the plane using Klein’s modular curve in the Beltrami–Poincare representation. E infinity theory alleges that the quantum gravity of space–time is a hyperbolic fractal on a Klein modular group akin to what is shown in the figure. The relevance to high energy physics is more direct than one may suspect. For instance, the Weinberg mixing parameter sin2θw at the electroweak scale is given by the cosine of the 3π/7 angle of Klein’s modular curve as cos(3π/7)≅0.2225 in excellent agreement with the experimental measurement. Similarly the number of triangles gauged in our mass norm gives the approximate value for the constituent mass of the fundamental light quarks. Since we have 168 automorphisms, then the number is (2)(168) and the masses are given by mu*=md*=336 MeV for the up and down quarks. In addition the 42 point unique orbit of the original Klein curve corresponds to the inverse of the quantum gravity couplings constant in the non-supersymmetric case. Figure options Full-size image (144 K) Fig. 2. A depiction of T. Right’s cosmos as a form of sphere packing on all scales. This is very similar to the author’s S(∞). This space is related, but by no means identical to the Cantorian E infinity space. One notes the similarity with Fig. 4. However Fig. 4 was published for the first time in Chaos, Solitons & Fractals 11 (2000) 453–464. By contrast, T. Right’s cosmos was conceived by him in the middle of the 18th century. Figure options Full-size image (138 K) Fig. 3. A fractal-like universe, with clusters of clusters ad infinitum as envisaged by the Swedish astronomer C. Charlier who lived between 1862 and 1934. This work was clearly influenced by the work of the Swedish astrophysicist A. Swedenborg (1688–1772). Figure options Full-size image (69 K) Fig. 4. An artistic impression of E infinity space–time published by the author almost two and a half centuries after the work of Swedenborg and without any conscious knowledge of this or similar work of the same period. The figure represents a form of space made up of turbulent disorderly packed 3D spheres. E infinity space is similar only it has infinitely more dimensions. Figure options Full-size image (75 K) Fig. 5. An alternative two dimensional construction of a topological equivalent to the Cantor set using pairs of circles. The E infinity limit set is very similar but has infinitely many dimensions and not only two like here. Figure options As is well known, special relativity fused time and space together, then came general relativity and introduced a curvature to space–time. Subsequently Kaluza and later on Klein added one more dimension to the classical four in order to unify general relativity and electromagnetism. From this time on, the dimensionality of space–time played a paramount role in the theoretical physics of unification leading to the introduction of the 26 dimensions of string theory, the 10 dimensions of super string theory and finally the Heterotic string theory [10] dimensional hierarchy 4, 6, 10, 16 and 26. This is all apart from the so-called abstract or internal dimensions of various symmetry groups used, for instance, the 8 dimensions of the SU(3) of the strong interaction. By contrast, in E infinity theory we admit formally infinite dimensional “real” space–time [1] and [2]. However this infinity is hierarchical in a strict mathematical way and we were able to show that although E infinity has formally infinitely many dimensions, seen from a distance, i.e. at low resolution or equivalently at low energy, it mimics the appearance of a four dimensional space–time manifold which has only four dimensions. Thus the four dimensionality is a probabilistic statement, a so-called expectation value. It is remarkable that the Hausdorff dimension of this topologically four dimensional-like “pre” manifold is also a finite value equal to 4+φ3, where with the remarkable self-similar continued fracture representation (which is in a sense self-similar as Fig. 1, Fig. 2 and Fig. 5): There are various ways for deriving this result which was given in detail in numerous previous publications. However maybe the simplest and most direct way is to proceed from the mathematical definition of E infinity. 2.2. Definition of the E infinity space Definition E infinity refers to the limit set of a pre-geometry model of the transfinite extension of a projective Borel hierarchy [11]. From the definition of the above and in particular the definition of Borel sets and projective hierarchy [11], it follows that if the sets involved in the Borel set are taken themselves to be transfinite Cantor sets (see Fig. 5), then the Hausdorff dimension of E infinity could be written as [1], [2], [8] and [9] where d(0)c is the Hausdorff dimension of the involved transfinite sets where the superscript refers to the Menger–Urysohn dimension of the one dimensional Cantor set, namely 1−1=0. Now there is a well known theorem due to Mauldin and Williams which states that with a probability equal to one, a one dimensional randomly constructed Cantor set will have the Hausdorff dimension [1] and [2] equal to , i.e. the golden mean φ. Setting dc(0)=φ one finds as anticipated. It is now instructive to contemplate the following. The intersection rule of sets shows that [1] and [2] we can lift dc(0) to any dimension n as follows Thus taking d(0)c=φ and n=4, one finds In other words, we have which shows that the expectation value of the Hausdorff dimension of E infinity is 4+φ3 but its intrinsic embedding “expectation” dimension is exactly 4 and that although the formal dimension is infinity. In fact the expression ∑∞0n(dc(0))n may be regarded as the sum of the weighed n=1, n=2, n=3, … dimensions where the weights are the golden mean and its power. That is why E infinity is hierarchical. Note that intrinsic embedding is just another name for the Menger–Urysohn dimension and that our intuitive embedding dimension for dc(0) is not zero, but one. Similarly for dc(4) it is 5 and not 4. 2.3. The limit set, Kleinian groups and Penrose tiling It then turns out that the limit set of any Kleinian-like group is a set which is best described in terms of chaotic Cantor sets (see Fig. 1 and Fig. 5) and E infinity [9]. This fact is clear from the work of Mumford et al. [12]. Another surprise was the realisation that is just twice the isomorphic length of the so-called Penrose-hyperbolic fractal tiling [1] and [2] where ϱ is the radius of the circular region considered. In other words if one projects the space–time of vacuum fluctuation on a Poincare circle we will see a hyperbolic tesselation of this circle with predominantly Klein curve-like geometry [13] which ramifies at the circular boundary exactly as in many of the famous pictures of the Dutch artist M. Echer. It is an important part of our thesis that actual quantum space–time strongly resembles the hyperbolic geometry of the ramified χ(3π/7) Klein curve (see Fig. 1). We started with the picture of a turbulent sea which we took to model vacuum fluctuation then moved to model the space–time of the vacuum using infinite numbers of unions and intersections of an elementary random Cantor set only to find at the end that this is the limit set of the well known Möbius–Klein transformation of space [9], [12] and [13] which may be represented using the Beltreram–Poincare methods of hyperbolic geometry [1]. In other words, quantum space–time is conceived here as a hyperbolic fractal in which the low resolution major part is the original Klein curve while the high resolution part at the circular boundary may be considered a transfinite correction which may be superimposed to it following certain rules, just like in a perturbation analysis of a weakly non-linear problem. For instance, and as will be shown later on, the dimension SU(5)=24 will be replaced by 24−φ9=24−0.013155617=23.98684438 and similarly Dim E8⊗E8=496 will become 496−k2=45.96747752 where k=φ3(1−φ3) and φ9 are examples of such transfinite “corrections”. We will see later on that the Heterotic string hierarchy is also imbedded in E infinity and that the theory is clearly related to A. Conne’s non-commutative geometry [14] as well as the four dimensional fusion algebra and M. Friedman’s theory of four dimensional topological manifolds [14]. It is worthwhile to note that in all the preceding theories, our Hausdorff dimension plays a pivotal role [14]. 2.4. The string connection and KAM theorem Having mentioned string theory, we should mention that in string theory particles are perceived as highly localised vibration of Planck length strings, so that strictly speaking, within string theory there is no essential difference between a resonance particle and say a meson or an electron. The nice thing about the geometrical–topological picture which E infinity theory offers is that the string picture may be retained yet in another form, namely as a sizzling Cantor set [2], simulating string vibration and that such strings are embedded in E infinity as will be shown. Thus the two theories remain reasonably compatible. However we are running ahead of the logical sequence and we should return to the Cantorian hyperbolic geometry of quantum space–time. It is well known that hyperbolic geometry is highly distortive. Taking the original Klein curve as an example [13], all triangles are essentially the same, yet they are distorted and the further away from the center of the Beltrami–Poincare projection we are, the larger the distortion is. It is here that our basic conjecture regarding the mass spectrum of high energy particle physics come to the fore. We will show that all particles are just different scaling of all other particles as long as we disregard all other aspects and concentrate on energy. E infinity has a set of scaling exponents which distorts the “figure” of any particle so that it all depends on the region which the particle inhabits, or said in another way, it all depends on the way we probe space–time (see Fig. 1). Exactly as in Einstein’s general relativity and even far more so, space–time topology decides on the mass spectrum which we observe. Seen that way one should really expect infinite numbers of elementary particles but this is clearly not the case. It is one of the main pillars of the E infinity theory to hold that the whole issue is that of stability. Only stable particles could be observed. Again it is one of the most important results of E infinity theory to reason that the question of stability of elementary particles is closely related to KAM theory, Arnold diffusion and the vague attractor of Kolomogorove [2] and that the most irrational number that exists, namely is the secret of the stability of certain elementary particles [9] and [13]. Vibration simulating particles which do not have a sufficiently irrational winding number dissipate as fast as they are produced. 3. Dimensions and coupling constants 3.1. The fine structure constant and the special orthogonal group SO(n) Now we need to show some quantitative results. We start by deriving an important dimensionless quantity namely the low energy fine structure constant α0. Within E infinity theory this α0 is no different from the expectation value of the Hausdorff dimension of E infinity, namely and its inverse may therefore be regarded as a dimension while α0 itself may be thought of as a probability in the fashion of the interactive theory dealing with massinger particles rather than in the theory of electromagnetic field. In fact in E infinity theory all coupling constants α0, αs and so on will be regarded as probabilities to absorb or emit the corresponding massinger particle. Let us give first a formal derivation of α0. We know that the special orthogonal group SO(32) is similar to the E8⊗E8 group of strings which is the only theory which has a graviton arising naturally from its basic formulation. Now the dimension of SO(32) is equal to that of E8⊗E8 and is given simply by [10] and [13] Next we take n to be the non-integer Consequently one finds the expectation value Taking 20 copies of that one finds where k0=φ5(1−φ5)=0.082039325⋯ This is the value of the global which may be written more conveniently as where Clearly we need not justify setting 20⊗SO(4+φ3) equal to as long as we can show that it gives the right physics and is consistent. Nevertheless, we will return later on to give a more intuitive justification beyond the fair numerical agreement with our “physical” reality. This is done by linking to the so-called expectation π meson [2] and [13]. 3.2. Embedding of strings dimensions in E infinity Next let us show how the dimensional hierarchy of the Heterotic string is imbedded in our E infinity and scale using the golden mean. That way we find [14] Setting k=φ3(1−φ3)=0.18033989 equals zero one finds Note that can be shown to be the non-super symmetric coupling constant of the unification of all fundamental forces. In the super symmetric case we have . 3.3. Isospin and symmetry groups Since the introduction of isospin theory by W. Heisenberg, groups theoretical considerations play a prominent role in high energy particle physics. However, strictly speaking we just became used to group theoretical arguments although they remain as abstract as ever, for instance to say we have 12 massless gauge bosons because [2] and [14] the total dimensions of all the symmetry groups involved in the standard model (SM) is not justified by any intuitive physics, only pure mathematics and experimental verification. The situation in string theory is even more abstract. In string theory we accept that we have 496 massless gauge bosons without experimental evidence because In E infinity theory we compliment groups by sets in a manner of speaking. Seen at a low resolution, our set is a Kleinian modular group but it is the set character which is important in E infinity and as we will see, it leads to exactly verifiable results regarding the mass spectrum [2] and [14]. Note that the ratio between in number of mass less gauge bosons in the standard model (SM) and quantum gravity defines the non-super symmetric coupling constant . Thus in E infinity theory the dimension corresponding to 496 is in fact 496−k2 where k=φ3(1−φ3)=0.18033989 which we can neglect for all practical purposes, but not in principle. In fact, ignoring small numbers can lead as we learnt from chaotic non-linear dynamics to disastrous inaccuracies in certain cases. Nevertheless, 496−k2≃496 is not only a dimension but is much more than that as will be shown shortly. It is related to the expectation of the mass of the K meson. 4. The expectation mesons and the mass of the nucleons 4.1. The π mesons The dimension 496−k2 may be obtained from the dimension 137+k0 by scaling as follows The deep meaning of the above is the following. It was Sidharth [32] who showed using classical mechanics and non-classical Cantorian space–time that the mass of a π meson is given by [2] and [14] Sidharth’s calculation is only approximately true because we do have two π mesons and To obtain the accurate result we postulate the existence of an expectation π meson given by as follows Subsequently we can show that mπ± and mπ0 are just different scaling of another fundamental non-composite particle, say the electron. However before showing that we show that the neutron mass may be obtained as a scaled i.e. in fractal hyperbolic space–time of E infinitely distorted π meson [2] That means the scaling exponent in this particular case is and which is almost exactly equal to the experimental value. As we define an expectation meson which came very close to the expected value found from taking the average mass of mπ± and mπ0 one could define an expectation K meson by scaling 〈mπ〉 using λ=3+φ 4.2. The mass of the neutron and the mass of the proton Now by scaling 〈mK〉 we can find again mN as follows [2] That means scaling this time is where 10=D(10) is the dimension of the core of super string embedded in E infinity and 19−φ6=b−2 which is a Betti number. Consequently one finds To obtain the mass of the proton all what we need is to change k2=(0.18033989)2 to 4k and find which is almost exactly the best know experimental result. Now we calculate the mass of the electron again as a scaling, this time of the proton by writing where and and the scaling is . Now we can determine the mπ± and mπ0 as scaling of the electron and in excellent agreement with the experimental evidence. 5. Linking some scaling exponents to string theory and non-commutative geometry 5.1. Hyper tensor It may be of deep theoretical interest into the structure of the super string theory [10] to note that plays a profound role in a necessary condition for anomaly cancellation, namely that the number of hyper tensor and vector multiples satisfies the following condition [10] This anomaly cancellation is what made Schwarz and Green develop super string by adding super symmetry and gravity to the bosonic string. Seen that way, E infinity theory can give string theory practical predictivity power with considerable accuracy at least as far as the vital mass spectrum is concerned. Now one could, with considerable justification, ask why did we take these particular scaling exponents and whether we could take any arbitrary factors as a scaling. The answer to this and similar questions, is the following. 5.2. Non-commutative geometry and the golden mean We could take any exponent and there are very many of them, but there are restrictions. We have a large set of admissible factors but they must be looked at carefully to be taken from the topology of E infinity space–time. First the golden mean and all its powers multiplications and additions may be taken as valid scaling as long as they come out from Connes dimensional function and its extension to higher dimensions. The two dimensional function for instance is given in non-commutative geometry by [2], [8], [9] and [13] D=a+b(1/φ),a,b∈Z Second, all the transfinite version of the Heterotic super string dimensions and their combinations are valid scaling provided the corresponding vibration can be shown to be stable. Thus we may use 10, 6+k, 6, 16, 16+k, 26+k, 26 and so on. In addition the following dimensions are extremely important and are drawn upon continuously in E infinity theory: The last expression gives the dimension of the SU(5) symmetry group needed for GUT i.e. grand unification of all non-gravitational forces which is due to Glashow and Georgi [10]. 6. Stability considerations, scaling and the quantum 6.1. The Planck length and the Bohr radius Besides the preceding conditions the stability condition must be established [2]. Clearly if we know a particle with a certain mass which we have just calculated using a certain scaling, then this particle really exists, otherwise we will not be sure. The problem is that KAM stability and Arnold diffusion in higher dimensions [2] (more than 4) are almost impossible to solve at present. Thus the more direct and obvious the scaling is, the more confidence we will have that such particles will be sufficiently stable to be observed. An example of a direct scaling is for instance the isomorphic length. As we mentioned this length is directly proportional to 4+φ3 where ϱ is a radius which can be any number. Consequently 4+φ3 and 4 are obvious fundamental scaling exponents in E infinity. To show that this is true we give a simple but striking example of how 4+φ3 and 4 connects the Plank length (which is related to the quantum h by h=(lp)2 cm2 in natural units) with the semi-classical scale par excellence, namely the Bohr radius [2] and [10]. While for the related stony length one finds Thus 4 and 4+φ3 are the scaling of the classical (h=0) to the quantum (h≠0) and visa versa. Other scaling transformation have a direct and obviously appealing physical interpretation and inspire a direct confidence even without experimental verification. An example of this kind is the following coupling equation Thus where is the super symmetric coupling constant of quantum gravity, k=φ3(1−φ3), k0=φ5(1−φ5) and . Clearly is the coupling between the graviton field represented by the string group, namely the Lie expectational group E8⊗E8 and the electromagnetic field as represented by the quasi-dimension . The factor 2 is analogus to of the φ scaling of to give the Heterotic string dimensional hierarchy discussed earlier and may be interpreted indirectly as a kind of Bose condensation of a Cooper particle at the extremely high energy of some (10)19 GeV [10]. 6.2. Geometry and topology of the vacuum and quantum gravity Maybe we still need to explain the deeper origin of the preceding relation. At least historically the relation goes back to the sigma model. In this model and as is explained for instance by ‘t Hooft, it is the squares of the masses which must be compared [15], a situation which is similar to the Regge trajectories. For the π meson and the K meson, the correct comparison has to use the expectation π and K meson which are defined in E infinity as theoretical intermediate and probably totally unstable particles which need not really exist and the ratio comes indeed near to 14. In fact it is exactly 13.09016995. This value happens to be exactly half of the value of the theoretical super symmetry quantum gravity coupling constant. Thus Now at the beginning of any new theory, the most difficult things is the new concept. Once this is established then mathematics takes over. Let us clear the concept a little more because it is not immediately obvious how we move from a Hausdorff dimension to mass. The chain is not long. We know that entropy is a measure for complexity. Likewise the Hausdorff dimension is a measure for complexity. This is how the work of Schlögel and Beck should be understood because the Hausdorff dimension is related to thermodynamics. Consequently the Hausdorff dimension is related to energy via thermodynamics and since energy is related through special relativity to mass, the connection of Hausdorff dimension to mass becomes clearer. Now the Hausdorff dimension is predominantly a geometrical–topological devise and the afore mentioned connections mean that geometry is indirectly connect to temperature and mass. In essence there is nothing new in all of that, it is general relativity seen from another maybe deeper view point. On a deep level geometry is paramount and decides on everything including energy and thus mass. The preceding simple thoughts were the basis for a relatively recent work in which the author derived the temperature for a drawing by Pablo Picasso [16], [17] and [36]. 6.3. Complexity theory Having said all that, one should not confuse disorder with complexity (see Ref. [37]). In fact hyper-disorder may be regarded as a form or ergodicity and ergodicity is a completely uniform disorder which has a complexity zero, exactly as complete disorder. Innovation in nature takes place somewhere between the two extremes and I was not astonished to find out that the VAK state has a maximum complexity. Consequently the vacuum has a maximum complexity which is the reason why it is so rich giving rise to quantum physics. I was later informed that maximum complexity is connexted approximately to the number 0.273. Prof. Alan MacKay, a leading British crystalographer was particularly intrigued by this because this number appears continuously in the E infinity theory, (i.e. ). So far we have discussed the inter-scaling relationship between π mesons, K mesons, electrons and nucleon, but what about the quarks model for hadrons. Could this model by of any use in E infinity theory? The answer is yes it is and treating the same particles using a combination of the quarks model and scaling gives a deeper understanding of the theory which we do next. In fact some scientists regard the electron as a kind of quark and that was used in our earlier analysis. [33] and [39]. 7. Constructing the neutron and the proton from quarks 7.1. The mass of the quarks First we give here without derivation, the current and constituent masses of the light and heavy quarks which are consistent with E infinity theory. Needless to say, that these masses are in excellent agreement with the majority of the scarce and difficult to obtain data about the mass of the quarks. It takes only one look at these values for anyone to realise that they form a harmonic musical ladder. In fact, particle physics seen through the eyes of E infinity must resemble a cosmic symphony, even for the most hard nosed so-called realist. Here are the values [18]: (a) Current mass [14] and [18] (b) Constituent mass [14] and [18] 7.2. Constructing the nucleon from quarks The point is that we know from the classical quark theory that a nucleon is supposed to be made up from three confined light quarks. For the neutron these are two down quarks and one up and for the proton, two up quarks and one down. That way one finds that [16] and [18] where λN is a scaling given by Thus where n1≃496 is the expectation value for the number of massless gauge bosons in the quantum gravity field while is the expectation value of the number of massless bosons in the standard model. That means which is exactly the value we obtained previously and which agrees completely with the experimental results. Now we look at the proton which is electrically charged and must therefore be made up of two up quarks and one down quark [16] and [17] where λp is the scaling Thus we have in full agreement with the experimental evidence namely mp=938.279 MeV. However we gain from the previous equation a great deal of insight into the relation between mN and mp within E infinity. We notice in the last equation that mp is a projection of mN=939.57427 MeV. The projection is due to a rotation of an angle equal to π divided by (D(10))(D(6)−k)=60 where D(6)=6+k and D(10)=10 as we have known from the φ scaling of corresponding to the dimension of our transfinite version of the Heterotic string theory. One could ask why this rotation? Formally one could answer it is exactly equivalent to the internal rotation of the isospin theory of Heisenberg only more tangible and it gives the right result. However using our hyperbolic distortion picture (see Fig. 1) of the Cantorian E infinity space, we can give the deeper answer that this is the angle at which we look at a neutron and conceive it as a proton as far as the mass is concerned. It is the geometry and topology of space–time all over again. In string theory we know that the mass equations of the “particles” lives in the 6 dimensional part of the 10 dimensional space of the string core embedded in E infinity. This is one of the important results of the theory of super strings [10]. 8. Deriving the mass of the meson from the “vibration” of the light quarks 8.1. The expectation π meson Now we would like to derive the expectation π meson mass (which was never observed experimentally until this point of time, but may be found in the future) using the quarks model. We know that the meson consists of two quarks. For that purpose we take one up and one down quark and find The reassuring thing here is that we find the scaling to be exactly λπ=10. Thus the 〈mπ〉 is ten copies, (to use the terminology of the 10 dimensional super string) of the sum of the two light quarks In such cases it is instructive to see the calculation as going forward and backward from higher to lower dimensionality and visa versa. That means the masses of the quarks which we perceive are the ones measured here in our 3 + 1 dimensional projection of E infinity. However the combination we talk about takes place in this case in the 10 dimensional super string core of E infinity so that the value we measure in our 3 + 1 projection is the 10-fold of the simple sum of the mass of mu and md. 8.2. Nested and fractal vibration So far we have made no direct quantitative reference to the vibrational interpretation of E infinity and that is what we will touch upon now. Consider a simple two degrees of freedom linear vibration consisting of two masses connected by linear elastic springs and hanging on the ceiling. Setting the masses and the spring constant equal to unity, we obtain a quadratic secular equation with two frequencies as the solution, namely [14] and [18] These are indeed the golden mean again. If we now imagine an infinite collection of such two degrees of freedom unit cells connected sequentially and in parallel at random, then we need only to introduce a so-called wired hierarchy in the architecture of our neural network like structure and we would have some reasonable mechanical realisation of E infinity space. In fact, such an infinite collection of possibly nested oscillators has already been considered by L. Crnjac [5] and also by S. Wolfram in his recent book “A new kind of science”. I have used in this context the well known Eigen value theorems of Southwell and Dunkerly to show that the expected hierarchy of frequencies of vibration are simple or complex function of the golden mean and may add that many of the results obtained within the theory of N. Wiener and its modern recasting in the theory of spontaneous self-organisation (see Ref. [37]) are of great relevance to E infinity and reproduce partly some of our arguments. This could however take us too far from our present limited objective of an introduction to E infinity and will not be discussed in detail. The important point which we gain from the preceding “N. Wiener” picture is that when we add say two Hausdorff dimensions, for instance we can regard this also as adding two frequencies to find a joint frequency. Similarly we have in the sequential net the second variant of adding two frequencies and that would be Thus This is obviously trivial but things can get quite sophisticated and our approach requires knowledge of advanced modern geometry of the Kähler manifold [10] in particular the so-called K3. To explain this point let us take a concrete example. Very frequently when writing a scaling exponent using the main dimensions of the Heterotic string we would write something like −26+10=−16 and we justify this by saying that the 10 dimensions of D(10)=10 are moving to the right while the 26 dimensions of D(26)=26 are moving to the left. This situation is not as mad as it initially sounds. The point is somewhat similar to what we encounter frequently in the general theory of diffusion where we have a process defined at least mathematically via two diffusion equations, one running forward and the second backward in time. This is a special case of what I have introduced as the complex conjugate time of the quantum world [19] Something similar is used in the theory of Heterotic super strings where we introduce a so-called Minkowski analytical continuation and end with a holomorphic field and anti-holomorphic field. We use then the synonyms for left moving for holomorphic and right moving for anti-holomorphic [10]. 9. Quantization and transfinite discretization 9.1. The work of G. Ord This brings us now to what we should have explained at the beginning but deliberately postponed until this stage. The theory of E infinity would have remained without a strong theoretical foundation if it had not been for the work of the English–Canadian physicist, Garnet Ord [3]. Ord set out to take the mystery from analytical continuation. We should recall that analytical continuation is what converts an ordinary diffusion equation into a Schrödinger equation and a telegraph equation into a Dirac equation. Analytical continuation is thus the short cut quantization. However what really happened is totally inexplicable. It was Ord who showed, using his own (invented) quantum calculus, that analytical continuation is not needed if we work in a fractal-like setting, a fractal space–time if you want. In fact it was Ord who introduced the expression fractal space–time in a formal paper in the eighties. Only recently Ord’s work has gained acceptance in Physic Review Letters and so one is hopeful that his message will be widely understood; it is the transfinite geometry and not quantization which produces the equations of quantum mechanics. Quantization is just a very convenient way to reach the same result fast, but understanding suffers in the process of analytical continuation [3]. 9.2. Complex time and transfiniteness Ord has accepted the limited validity of 0±it as dual equations and that quantum mechanics [19] for instance is governed not only by one Schrödinger equation but by a second conjugate complex Schrödinger equation as pointed out by the author [35]. However he has written that this is not going as far as one should in demystifying analytical continuation and replacing it with a deep geometrical understanding. The further development of E infinity take Ord’s point completely which he acknowledged in several of his recent papers. So, our slogan for E infinity could be ‘Do not quantize and do not merely discretize. You should discretize transfinitely’. This is the right way from M. Kac to P. Dirac. Once this is done, we are in the middle of hyperbolic Cantor sets and E infinity. Now we come naturally to a totally justified question, namely what happens to h. Ord never needed to look into this question thoroughly because he regards his equation as being totally dimensionless and setting C=h=1 are his natural units system. Later on once he arrived at his Schrödinger and Dirac equations, he restores the situation and h appears again. In my E infinity, I do not need to dwell on h directly, but it is built in there for sure. This is because the dimension D(26)=26+k≃26 is at the same time the value at which all differences between all fundamental forces completely disappear and we have then one force, the super force so to speak. This situation takes place at an energy of around 1019 GeV. This energy is in turn related to the Planck length and to the length at which complete unification takes place. The Planck length and the total unification length are connected via this coupling constant, namely On the other hand, h is nothing but the square of the Planck length when measured in centimeters That is where h is hiding in E infinity. In other words, once we have found h experimentally and once we have accepted it as fundamental and final, we should have at once given up the smooth Euclidean space in favour of something more in harmony with such as E infinity space time. Now we may return again back to our main concern, the mass spectrum. We have so far converted some particles into others by means of scaling as far as mass is concerned, but we never really explained where mass came from in the first place. In the standard model for instance which E infinity accepts as a valid approximation, mass is explained using the Higgs mechanism. However no one has ever seen a Higgs experimentally and could not be sure that this Higgs really exists. None the less, this is not an argument against the Higgs because no one has ever seen a quark either, I mean a single quark moving freely in space and none the less, we accept the existence of quarks. If the Higgs particle exists, then one could ask again where did the Higgs particle get its mass from? In addition how could the Higgs field hide away its gravitational attraction which should in principle be detectable even with today’s technology as emphasized continuously by Veltman. 10. Unification and the mass of the electron 10.1. The unification π meson Now all these questions are answered within E infinity theory in a fundamentally different way. In E infinity the particles acquire their mass at the unification of all fundamental forces. To explain this point we would like to calculate here the mass of the electron from the condition of unification. All fundamental forces are unified when all the three fundamental coupling constants intersect with that of gravity [20] at one point in the space where αi. stands for the coupling constants of the weak force, the strong force and the electromagnetic force as well as the dimensionless coupling of gravity while E stands for the corresponding energy. Steven Weinberg gave a highly simplified and lucid account of this subject in the Millennium Edition of Scientific American [21] and one could see from his clearly presented coloured figures that assuming super symmetry the unification coupling constant lies indeed near which is very close to our theoretical result . Now we remember that we calculated a theoretical intermediate particle which we called an expectation π meson and found it equal to MeV. Remember we also obtained D(26)=26.18033 as a scaling of () namely . 10.2. The unification electron and the experimental mass of the electron Thus in analogy with that we would like to introduce formally a hypothetical particle with a mass equal to 26.18 MeV which we will call the unification π meson However we should keep in mind that this point is a point at which there is no difference what so ever between gravity and consequently mass and energy and electromagnetic charge nor nuclear forces. Now we know that the dimensionless electric charge is given by . Consequently we may deduce analogically a unification charge equal to . However this has to be lifted to 10 dimensions as we have seen before so that the correct expression would seem to be The above relation as it stands is unfortunately not right. It would have been right if it would not have been for a remarkable duality known in string theory as the Olive–Montonen duality, where we have to take the reciprocal value when moving from large scale to the ultra small scale and the correct expression is the reciprocal value This value measured as 〈mπ〉 in MeV and is what we call the unification electron mass. To obtain our 3 + 1 electron mass we have to project onto 3 + 1 dimensions and find using D(10) and D(6): The experimentally found value for me is, as is well known, me=0.511 MeV. 11. The experimental fine structure ‘constant’ and the electroweak ‘particles’ 11.1. The Sommerfeld α0 Now some may feel uneasy about the introduction of the string dualities [10] as well as the projection but both manoeuvres are routinely used in string theory and we are basing our self on it. One may find more than adequate and detailed coverage in the concerned monumental literature on the subject of strings, which we basically, globally accept as excellent approximation of what is the case in high energy physics. With E infinity theory however, we need not think of projection as more than special scaling to account for the distortion caused by infinite dimensional hyperbolic and fractal topology of quantum space–time. There is also a vital meaning for the procedure of projection connected to the low energy inverse fine structure constant . We have found to be but the very accurately measured is really so what is the meaning of this slight but important difference. The explanation is as follows. The is a global and is a true constant. By contrast, is a projection in 3 + 1 and may therefore vary slightly with space and time. To obtain the experimental we project it using the “quantized” projection angles (see Fig. 1) in this case θ=π/α0 and one finds [2] and [6] in complete agreement with the experimental value. 11.2. The electroweak theory In fact the cosine of, “quantized” angles plays a very important role in E infinity and may be thought of as a diffraction-like effect such as that found in crystallography. For instance, the Weinberg mixing parameter is identified in E infinity theory with the cosine of the angles of the triangles which make up the original Klein curve χ(3π/7) which forms the major part of E infinity as seen in the hyperbolic Poincare–Beltrami disc (see Fig. 1) With this value at our disposal, we can determine the masses of the W± and Z0 of the electroweak. For this purpose we look at the mW± as a scaled m*t, that is to say the constituent mass of the top quarks where and That way one finds The best experimental value is mW=80.4 GeV. To obtain the Mz we use the same formalism of the Glashow–Salam–Weinberg theory but use cos(3π/7) instead of sin2θw and one finds The best experimental value is 91.18 GeV. Incidentally the coupling constant of the electroweak is also easily found from which agrees with the P-adic expansion of , namely Thus 128 may be interpreted as being at the electroweak scale while 8 is the inverse of the strong coupling . The one left may be related to quantum gravity in the P-adic theory. The relation between P-adic numbers, fractal and E infinity was discussed by many authors. We should also note that 137 is the 33 prime number while 127 is the 31 prime number. We may also note that since the mass of our theoretical π meson is MeV we could interpret 128, 8 and 1 as masses measured in MeV. 12. Continued fraction and stability There is an important point which we did not discuss so far and which is important for our vital quarks model interpretation of E infinity. We have reason to think that in our E infinity theory we must have This is indeed the case as can be verified from This relation is extremely important because all permanent matter is made of m+p and m0N i.e. protons and neutrons. Therefore in any realistic model protons must be the most stable particle. In string terms as well as in E infinity terms, this must be the most stable “string” vibration. Since according to KAM this will entail the most irrational frequency ratio possible, the ratio of mu and md must be the most irrational number possible which is the golden mean, as is well known from number theory [12]. Now we should contemplate the following. The proton is the most stable composite particles we know of and this particle is made of two mu and one md, so we have By contrast, for the unstable neutron we have The question we hope someone can answer precisely one day is the following. Is it possible simply from looking at the continued expansion of the ratio of two elementary or sub-elementary particles or the logarithmic scaling of the ratio to judge the relative stability of the concerned particle from a criterion connected to the continued fractional expansion of these quantities. We have a strong feeling that such criteria may be possible and this would simplify KAM theory and Arnold diffusion calculation beyond our present hopes, something which is, as far as we are aware, completely lacking at present. 13. Present mathematical limitations imposed on a general theory Maybe it is now the place where we should discuss the limitations of our present theory. The customary thing to do in classical physics is either to establish the differential equation using Newtonian physics or what is completely equivalent to find a variational principle for which a Lagrangian is needed. This standard procedure is kept, as far as possible also in the standard model. However, as we can see, inconsistencies force us to give up smooth space–time and it was the French astrophysicist, Nottale [7] who investigated the consequence of giving up differentiability and came to his by now reasonably well known theory of scale relativity and conclusions similar to ours. Nottale of course did not give up continuity but only differentiability and this was difficult enough [7]. However in our case we have to find a way to integrate infinitely many times something which is classically non-integrable in order to find the stationary points corresponding to our Eigen values, i.e. masses and coupling constants, then we have to find the first variation (i.e. we differentiate) of the non-existing Lagrangian and set it equal to zero δ(L(VAK))=0 However if this could be done, we still do not know anything about the stability of this solution unless we require that we take the second variation (if it exists) and insist that δ2(L(VAK))>0 for stability and only then can we find the stable particles which could be observed. It is clear that we would need for this program a mathematics which does not exist yet and the only hope for an exact solution would be a super, super computer, i.e. a quantum computer. E infinity theory may be regarded thus as an attempt to go around all these difficulties as far as possible and extract as much exact information as we can using a flexible strategy of applying almost everything we have in mathematics simultaneously. In particular we do not use only group theoretical consideration but also set theory and number theory as well physical considerations such as the nested vibration model [5], which was probably inspired by the pictures of self-similar universe due to Swedenborg, Charlier and Right (see Fig. 2, Fig. 3, Fig. 4 and Fig. 5). 14. The meuon and the mass spectrum Now we may turn our attention once again to the calculation of the mass spectrum and it is time to consider the meuon. Being an electron in every respect except for being 206 times more heavy, the meuon should be regarded within the classical quarks theory as non-composite. Such notions, I mean “non-composite”, are only relative within E infinity theory and depend on the resolution which is used but for all practical purposes, we may regard the meuon as non-composite. The best is then to regard it as scaling (distortion) of a quark and we take it to be the up quark. That way we may write where Consequently On the other hand the meuon is clearly a scaled electron where Consequently Setting for mμ the value found earlier namely mμ=105.6656315 MeV, the electron mass is readily found to be exactly as expected. Now we may need to discuss the scalings λμ. Most of the time these scaling involve the ratio of the largest symmetry group we have, namely that which contains super strings and consequently gravitation, . The second value 24−φ9≃24 could be interpreted in different ways. First it is the dimension of SU(5) of the GUT unification. The φ9 is the transfinite so-called “correction” which reminds us that we are dealing with Cantor limit sets. On the other hand, if we take the 496 to be the number of massless gauge bosons of string theory, then the 24 should be taken to be the number of instantions which is equal to the second Chern class for K3⊗T2 as well as E8⊗E8. That means [10] Multiplication with 10 is taking it to the 10 dimensions of the super string core. I do of course appreciate that the preceding explanation itself needs explanation but this would take us deep into the topology of super strings and string field theory which is definitely not the purpose of the present introduction. 15. Possible experiments A question of great interest for any true physicist is obviously the following: could we have direct experimental verification for E infinity theory? The answer is probably yes but probably also not so direct. In my opinion, if it can be done at all, calculating the Hausdorff dimension of a quantum path may be our best bet [33]. Such an experiment should at the end say that the Hausdorff dimension of a quantum path is larger than the classical topological dimensional one. To find that the average Hausdorff dimension is exactly two would be a definite confirmation for all the postulates of E infinity theory. Although such sophisticated experiments are completely outside my range of expertise, I have given this question some though and think it will involve reconstruction of quasi-phase space using Ruell Takens method as well as deep laser cooling but this is still too vague to write about it here [33]. It seems that H. Kröger [34] in Canada attempted to find the Hausdorff dimension of a quantum path experimentally but so far, no real experiments were ever made. Another possibility is to find a deviation in Newton’s gravity law which could not be explained except with the existence of five and more dimensions for space–time. Such a possibility is being pursued by a team in CERN [31]. Two more predictions of E−∞ could be tested experimentally. First the existence of the expectation π meson 〈mπ〉=137.08 MeV as well as the expectation K meson 〈mK〉=495.9674 MeV. 16. Additional points of interest––the mass of the neutrino We hope the preceding discussion helps to clarify the basic idea behind our approach although we have ignored some important aspects related to sphere packing in higher dimensionality, Leech lattices, quantum calculus and scale relativity as well as loop quantum mechanics and knot theory. Some of these subjects were discussed by the writer and other authors in many previous publications [22], [23], [24], [25], [26], [27], [28] and [29], for instance Saniga [26], consider the relation between E infinity and projective geometry whereas Agop et al. [29] considers super conductivity and E infinity. Discussing all these aspects would take a considerable space and we reserve them for coming occasions but one more remark regarding the neutrino may be essential. Any new theory for particle physics is tacitly expected to say something about the mass of the neutrino. E infinity can do that and predict the mass of the neutrino on the basis of the energy of the microwave background radiation energy [30] to be of the order of 10−4 eV which agrees well with the scarce experimental evidence [30]. We also should draw attention to a recent interesting paper by Koschmieder [22]. A work which is similar in it’s philosophy is that of Sternglass [39]. 17. Intermediate summary of the results Let us summarise the most important formulas found so far for the different masses to reassure ourselves of their simplicity and elegance which excludes any possibility of interpreting these as any thing but true. 18. Symmetry breaking of E8⊗E8, the fundamental mass norm and We could arrive at via unification argument. Such an argument relies heavily upon quantum field theory and strings formulation and readers not familiar with both subjects may just disregard the reasoning of this section and note only the final conclusion. One of the accepted scenarios for moving from E8⊗E8 with its 496 massless bosons to the standard model SU(3) SU(2) U(l) with its initially 12 massless gauge boson is to assume that E8⊗E8 brakes into the smaller exceptional Lee group E6⊗E6 where . Let us recall first the approximate integer value of the fine structure constant, namely . Thus we may write that where 19 may be interpreted as the Bitti number of K3, namely . Our symmetry breaking may thus be written symbolically as Now recall that the mass of the two intermediate “theoretical” particles, namely the expectation meson 〈mπ〉 and the expectation Kaon were given by and so that the following theoretical “decay” is suggested by the preceding symmetry breaking We see that the electromagnetic fine structure constant for a Cooper pair arises naturally from the preceding symmetry breaking and in addition we have Consequently this may be interpreted as but we also know that Consequently the dimension-like value corresponding to 1 MeV. This may be a cumbersome way to state a trivial but deeply surprising and immensely useful fact. In E infinity space every dimension corresponds to 1 MeV in the mass space. 19. The Higgs and E infinity We have already mentioned that our approach to the mass problem is quite different from that of the standard model and the Higgs mechanism. However the Higgs picture could be in general interpreted in a way useful for E infinity. The mere fact that if we do not involve self-interaction of the Higgs field in order to give the Higgs particle mass, then we must assume that there is a second Higgs field which gives the particles of the first their mass and so on indefinitely is a statement about fractalness. In this picture and as mentioned by Veltmann, the Higgs would be just a new level of finer description of particle physics. (see Fig. 1 and Fig. 5) 19.1. The fine structure constant revisited General remarks and alternative rationalisation The reader may have long noticed the central role played by the fine structure constant α0 in ε(∞). One could say that the value range second in the line of importance just after the Hausdorff dimension A well meaning critic which I take very seriously for more than many very good reasons besides being one of the best theoretical physicists of the past century, remarked that he expected α0 to come at the end of a general theory as a final conclusion and not at the beginning. This remark hits the nail on the head. Indeed, this is the point. In order to be able to achieve what we set out to do, I had to turn the classical way of attacking the problem on its head. The rationale behind this reversed strategy is found in the topological–geometrical conception of E infinity theory. Once we take the topologicalization program seriously, then α0 follows from its interpretation as a probability. In our case as a geometrical–topological probability. It is this deceptively simple move which made everything fall into place and laid bare the deep harmony underlying the golden mean mass spectrum of high energy particle physics. To explain this let us start ab initio. We have already established that E infinity is a kind of probability space. However E infinity is strictly speaking a “prespace” and therefore we should be very careful in using words like space and probability. All the same, we need to define what we mean with probability. In our particular case we have a formaly infinite dimensional Cantor set with unaccountably infinitely many Cantor points in a “prespace” without a metric because the Lebesgue measure of E infinity is zero. As a consequence of this situation, combinatorial probability can be ruled out because the probability in all events will be In such a case one would usually attempt to define probability geometrically but also in this case we find The only way left is to attempt to define a topological probability using the Hausdorff dimension and the embedding dimension This means In other words, we have, For a Mauldin–William random Cantor set one finds That means that the multiplication and addition theorems may be applied to PTop=dc(0)=φ. For instance P=φ3=φ⊗φ⊗φ is the probability that event with a probability φ takes place three times simultaneously. On the other hand the probability that only one event of three events takes place is given by P=3φ=φ⊗φ⊗φ Applying these elementary ideas to reality we Consider once more the fine structure constant . We interpret as in atomic physics in a quite elementary fashion as a cross-section for the interaction of two electrons. A cross-section is a nuclear engineering conception but is actually a marvellous geometrical concept ideally suited to the entire philosophy and structural concepts of E infinity. Thus α0 would be thought of primarily and in contrast to the classical definition of α0 as a probability. It is the probability for two electrons to interact for instance. It is also a probability for an electron to emit or absorb a photon. Thus it is a measure of the strength of the electromagnetic field interactivity. Now in the strain of positivistic philosophy we could define at will to be We disregard for the moment the slight difference from the experimental value The only thing we need to show is that defining in this way leads to rational and particularly economic way of describing physical phenomena without contradicting well established other theories nor of course contradicting well established experimental facts. However at least as far as the present author is concerned, this positivistic operational philosophy is not entirely satisfactory and we would like to give a deeper explanation as to why we fine tune to be . Now (1/φ)4 could be interpreted as (1/φ)4=(1/φ)(1/φ)(1/φ)(1/φ) Since φ is a probability of finding a Cantorion point in a one dimensional Cantor set, then φ4 is also a probability. It is the probability of finding a Cantor point, a so-called Cantorion in all four topological dimensions simultaneously. That means or a part of is totally an inextricably connected to four dimensional space. However E infinity goes further than that. We have the 10 dimensional core of the super string space D(10)=10 which we have shown to be part of E infinity and embedded in it. Now the probability (1/φ)4 penitrates into the “string space” through the non-massive section, namely the (26+k)−(6+k)=20 dimensions and that on the basis of the addition theorem, so that the total fine structure constant becomes There are numerous ways to convince oneself with the inevitability of setting . However they all have a feel of ad hocness to them. For instance one could see as the intersection of 3+φ3 with 4+φ3=3+φ3+1 living in the union of the D(10)=10. That means 19.2. The E infinity interpretation of the 26 dimensions of super strings One must have noticed by now that the philosophy of D. Finkelstein and his school regarding that a process is more fundamental than space–time and that a particle creates its own space time has at least some indirect application in E infinity theory. In a sense that is the reason why particle masses and dimensions are so much interrelated within this theory. It is here where E infinity theory can give an intuitive rationalisation for the need for some 26 dimensions for space–time. To explain this I may use a lucid and clear presentation of the number of the free parameters. Such a presentation was given to the author on request by A. Goldfain and is a follows: First we have three coupling constant of SU(3), SU(2), U(1). Second, we have the two parameters of the Higgs mass and its vacuum expectation value. Then we have the mixing angle of the instanton contributions. That brings us to six parameters. Next we have (Nq2+1) quark parameters made up of 2Nq quark masses for Nq generations and (Nq−1)2 mixing angles (Cabbibo) and phases. For Nq=3 we have the 10 parameters in addition to the previous 6 making the 16 free parameters. Finally we add another (Nl2+1) lepton parameters giving for generation number Nl=3 another 10 parameters and consequently we end with 26 free parameters. This may be found directly from the formula 2(Nf2+1)+6 when setting Nf=3. The situation is just like in elementary linear algebra where 26 equations are needed to find 26 unknowns. Consequently we need 26 degrees of freedom in our Lagrangian and these 26 degrees of freedom are our quasi-dimension. The attentive reader may have noticed that we made use of b2−=19−φ6≃19 in our mass formula. Now this is a geometrical quantities related to the Betti number of the Kahler manifold K3. However it could also be interpreted as the number of quasi-dimensions when we set in our standard model massless neutrinos and dispose of the leptonic mixing angle. This is again a valid approximation depending on the resolution in keeping with the basic philosophy and concepts of E infinity. Finally in the so-called minimal model we could reach the minimum number of 18 free parameters which is what is commonly quoted in text books. By contrast in string theory one normally reads the sentence that the standard model possesses about 20 free parameters. Thus from our E infinity view point we think that we should think of the 26 dimensions of string theory as being the expectation value of the number of needed free parameters for a consistant theory. This alone should give us yet another strong argument to believe that the neutrinos must have a non-vanishing mass. Finally we should link the hierarchical structure of the mass spectrum with the number of dimensions and the fact that the volume of n dimensional sphere vanished as n goes to infinity. Now, in E infinity theory the exact value is an expectation value namely 26.18033989 rather than just 26. In addition the number of fundamental forces is not just 5 for electric force, magnetic force, weak force, strong force and gravity, but an expectation value 5+φ3=5.236067977. Consequently the total number of free parameters is n=(5+φ3)(26.18033989)=137.082039325 In other words we have gained yet another derivation and interpretation of as dimension and number of free parameter at a higher resolution namely 20. Symmetry breaking and the Higgs field There seems to be some misunderstanding about the role of symmetry breaking in connection with the Higgs field which we would like to explain briefly. If we restrict ourselves to the very elementary case of a skeleronomic and holonomic conservative system described by a potential energy then there are only three types of symmetry breaking bifurcation points. The stable symmetric, the unstable symmetric and the asymmetric or Poincare exchange of stability. Even here we do not have the case of indifferent equilibrium which must therefore be classified as unstable. Thus the massless particles are indifferent to any “potential” and thus unstable. Once the particle “absorbs” a Higgs from the surrounding Higgs field, then it puts on a weight, i.e. it acquires a mass. This mass will in the ball analogy lead to either a stable or an unstable position depending on the shape of the potential. Thus we are not really dealing with a true symmetry breaking bifurcation, neither in the sense of Poincare nor Hopf nor in fact that of Pexito structural stability. We may note on passing that the field associated with E infinity is a fractal field. Thus it is not a classical field like the scalar field of the Higgs nor the Vector field of Electromagnetism. It is also not a tensor field like in general relativity. It is far more complex. 21. Cantor space and Newton’s non-dimensional gravity constant For a projective Borel hierarchy, one comes to the notion of a Cantor space as follows: Definition Let the space AN be viewed as the product of infinitely many copies of A with discrete topology, be completely metrizable and countable. In the case of A=2={0,1} and A=N, we call the space ε=2N a Cantor space. The amazing and amusing fact which follows from the above is the following. Taking heuristically N to be which is the 31 prime number, then one finds ε=(2)127≅(1.7)(10)38 The dimensionless Newton gravity constant is given by The agreement between ε and αG is remarkable and although suggesting and indicative of the deep relation between physics and E infinity theory, we do not want to over estimate its importance nor are we at present in a position to give a rational consistent physical explanation for it. We have of course some intuition for the problem derived for instance from comparing the square of the Planck mass and the proton mass which leads to the same pure number when squared While mpl/mp≃(1.3)(10)19 when measured in GeV gives us the unification scale of quantum gravity. Note also that [(αG)(GeV)2]−1 gives us the right gravitational constant order of magnitude, namely The experimental value is GN=(6.70784)(10)−39 GeV−2. Similar conclusions were reach in a couragious work by the prominent Stanford experimental physicist Noyes [38]. 22. The mass spectrum revisited Having established the mass norm relating quasi-dimensions to MeV units in ε(∞) it is an amazingly simple task to estimate the masses of the some 200 or so known elementary particles. Here we will restrict our attention to only some of the more well known particles and resonances. The following particles are simply multiples of MeV and the results are in excellent agreement with experiments The experimental values are 548.8, 957.5, 9460.3 MeV. Particularly interesting is the mass for the expectation Σ particle. This is given by The experimental value is 11932.8 MeV. The mass of the well known J/ψ can also be found easily as The experimental value is 3096.9 MeV. For we also have a simple formula The experimental value is 1115.63 MeV. Similarly for Δ (1232), ms (770) and mω (783) one finds and The experimental values are 1230, 770 and 782 MeV respectively. A particularly neat expression is found for the tau particle by scaling the proton using Proceeding that way one finds The experimental value is 1777 MeV according to D. Perkins. We could come to a similarly accurate estimation by scaling the expectation π meson, K meson or the constituent mass of the t quark m*t: In conclusion we may give the mass of the Exi minus and Exi plus particles and The experimental values are 1321.32 and 1314.9 MeV. 23. A brief history of ideas leading to the E infinity concept If we focus our attention on hierarchy and self-similarity (see Fig. 2, Fig. 3, Fig. 4 and Fig. 5) rather than on mathematical transfiniteness, then one may be surprised to see an unsuspected long history of ideas which bear a striking resemblance to the geometrical concept of E infinity. The idea of hierarchy and self-similarity in science first started in cosmology before moving to the realm of quantum and particle physics. It is quite possible that a clergyman, T. Right was the first to entertain such ideas (see Fig. 2). Later on the idea reappeared in the work of the Swedish scientist Emanular Swedenborg and then much later and in a more mathematical fashion, in the work of another Swedish astrophysicist, Carl Charlier (see Fig. 3). This Swedish school may have inspired the work of the eminent British scientist Lord Kelvin on the space–time foam and then in turn together with the work of the Swedish school may have reached Zyldovich in the former Soviet Union. My own work was done independently and until very recently without any knowledge of the above starting from non-linear dynamics as applied to turbulence (see Fig. 4). Subsequently I became acquainted with Wheeler space–time foam as well as the work of G. Ord and then L. Nottale, K. Svozil, B. Sidharth and finaly the Swedish School. 24. Conclusions Seen through the eyes of transfinite sets and the golden mean renormalization groups the mass spectrum of high energy particles resembles a non-linear dynamical symphony where everything fits with everything else. We could start virtually any where and drive everything form everything else. Once we manage to familiarise ourselves with the mass norm, everything falls into place. In fact it takes very little effort to be able to memorise the masses of the most important particles and derive the corresponding formulas with remarkable ease. If we take the words of E. Mach seriously, that understanding may be equated with “denk” economy, then one could say that E infinity theory furnishes us with such economy of thoughts and thus understanding of the mass spectrum. Acknowledgements The author is deeply indebted to Prof. Dr. W. Martienssen as well as to Prof. E. Fredkin for stimulating discussions. I am also very grateful for a pleasant visit to the Royal Institut of Technology in Stockholm, Sweden during which the present work was written. Finally I am thankfull to Prof. D. Mumford for permission to use some material from his publication cited in the references. References [1] M.S. El Naschie Superstrings, knots and non-commutative geometry in E-infinity space Int. J. Theoret. Phys., 37 (12) (1998) [2] M.S. El Naschie The VAK of vacuum fluctuation, spontaneous self-organisation and complexity theory interpretation of high energy particle physics and the mass spectrum Chaos, Solitons & Fractals (2003) [3] G.N. Ord, R.B. Mann Entwined paths, difference equations and the Dirac equation Phys. Rev. A, 67 (2003), p. 0121XX3 [4] D.P. Datta The golden mean, scale free extension of real number systems, fuzzy sets and l/f spectrum in physics and biology Chaos, Solitons & Fractals, 17 (2003), pp. 781–788 Article | PDF (123 K) | View Record in Scopus | Citing articles (17) [5] L. Marek Crnjac On mass spectrum of elementary particles of the standard model using El Naschie’s golden field theory Chaos, Solitons & Fractals, 15 (2003), pp. 611–618 Article | PDF (98 K) | View Record in Scopus | Citing articles (35) [6] E. Goldfain Derivation of the fine structure constant using fractional dynamics Chaos, Solitons & Fractals, 17 (2003), pp. 811–818 Article | PDF (105 K) | View Record in Scopus | Citing articles (8) [7] L. Nottale Scale relativity and non-differentiable fractal space–time B. Sidharth, M. Altaisky (Eds.), Frontiers of Fundamental Physics, Kluwer, New York (2001), pp. 65–79 Full Text via CrossRef [8] M.S. El Naschie Nonlinear dynamics and infinite dimensional topology in high energy physics Chaos, Solitons & Fractals, 17 (2003), pp. 591–599 Article | PDF (170 K) | View Record in Scopus | Citing articles (35) [9] M.S. El Naschie Complex vacuum fluctuation as a chaotic limit set of any Kleinian group transformation and the mass spectrum of high energy particle physics via spontaneous self-organisation Chaos, Solitons & Fractals, 17 (2003), pp. 631–638 Article | PDF (100 K) | View Record in Scopus | Citing articles (37) [10] J. Polchinski String theory, vol. I and II Cambridge University Press, Cambridge, MA (1998) [11] A.S. Kechris Classical descriptive set theory Springer, New York (1995) [12] D. Mumford, C. Sevies, D. Wright Indra’s Pearls Cambridge, New York (2002) [13] M.S. El Naschie VAK, vacuum fluctuation and the mass spectrum of high energy particle physics Chaos, Solitons & Fractals, 17 (2003), pp. 797–807 Article | PDF (719 K) | View Record in Scopus | Citing articles (39) [14] M.S. El Naschie On a class of general theories for high energy particle physics Chaos, Solitons & Fractals, 14 (2002), pp. 649–668 Article | PDF (179 K) | View Record in Scopus | Citing articles (95) [15] G. ‘t Hooft In search of the ultimate building blocks Cambridge, New York (1997) [16] M.S. El Naschie Modular groups in Cantorian E infinity high energy physics Chaos, Solitons & Fractals, 16 (2003), pp. 353–366 Article | PDF (401 K) | View Record in Scopus | Citing articles (53) [17] M.S. El Naschie Kleinian groups in E infinity and their connection to particle physics and cosmology Chaos, Solitons & Fractals, 16 (2003), pp. 637–649 Article | PDF (769 K) | View Record in Scopus | Citing articles (22) [18] M.S. El Naschie On the exact mass spectrum of quarks Chaos, Solitons & Fractals, 14 (2002), pp. 369–376 Article | PDF (98 K) | View Record in Scopus | Citing articles (42) [19] M.S. El Naschie On conjugate complex time and information in relativistic quantum theory Chaos, Solitons & Fractals, 5 (8) (1995), pp. 1551–1555 Article | PDF (321 K) | View Record in Scopus | Citing articles (40) [20] M.S. El Naschie Theoretical derivation and experimental confirmation of the topology of transfinite heterotic strings Chaos, Solitons & Fractals, 12 (2001), pp. 1167–1174 Article | PDF (113 K) | View Record in Scopus | Citing articles (15) [21] S. Weinberg A unified Physics by 2050 Sci. Am. (December) (1999), pp. 36–43 View Record in Scopus | Citing articles (1) [22] Koschmieder EL. The standing wave model of the mesons and baryons. Chaos, Solitons & Fractals, in press [23] B.G. Sidharth The nature of quantum space–time and the Cantorian proposal Chaos, Solitons & Fractals (December) (2002), p. 1325 Article | PDF (80 K) | View Record in Scopus | Citing articles (11) [24] C. Castro Fractal strings as an alternative justification for El Naschie’s Cantorian space–time and the fine structure constant Chaos, Solitons & Fractals (December) (2002), p. 1341 Article | PDF (126 K) | View Record in Scopus | Citing articles (19) [25] C. Castro On p-adic stochastic dynamics, super symmetry and the Riemann conjecture Chaos, Solitons & Fractals (January) (2003), p. 15 Article | PDF (120 K) | View Record in Scopus | Citing articles (7) [26] M. Saniga A further note on a formal relationship between the arithmetic of homoloidal nets and the dimensions of transfinite space–time Chaos, Solitons & Fractals (2002), pp. 1571–1573 Article | PDF (48 K) | View Record in Scopus | Citing articles (2) [27] I. Gottlieb, G. Ciobann, C.Ch. Buzea El Naschie’s Cantorian space–time, Toda lattices and Cooper–Agop pairs Chaos, Solitons & Fractals (August) (2003), p. 789 Article | PDF (571 K) | View Record in Scopus | Citing articles (2) [28] O. Zmeskal, M. Nezadal, M. Buchnicek Fractal Cantorian geometry Hausdorff dimension and the fundamental laws of physics Chaos, Solitons & Fractals (July) (2003), p. 113 Article | PDF (129 K) | View Record in Scopus | Citing articles (24) [29] M. Agop, M. Strat, G. Strat, T.P. Nica Cantorian ε(∞) structures in discharge plasma double layers. Theoretical and experimental aspects of basic processes Chaos, Solitons & Fractals (June) (2002), p. 1541 Article | PDF (3221 K) | View Record in Scopus | Citing articles (9) [30] El Naschie MS. The mass of the neutrinos via the energy of the cosmic background radiation of the VAK. Chaos, Solitons & Fractals, in press [31] S. Abel, J. March-Russell The search for extra dimensions Physics World (November) (2000), p. 39 View Record in Scopus | Citing articles (8) [32] B.G. Sidharth Chaotic Universe Nova, New York (2001) [33] M.S. El Naschie The fractal dimension of space–time––remarks on theoretical derivation and experimental verification Chaos, Solitons & Fractals, 9 (7) (1988), pp. 1211–1217 [34] H. Kröger Generalized Aharonor–Bohm effect, homotopy classes and Hausdorff dimension Phys. Lett. A, 226 (1997), pp. 127–134 Article | PDF (898 K) | View Record in Scopus | Citing articles (8) [35] M.S. El Naschie A note on quantum mechanics, diffusional interference and informions Chaos, Solitons & Fractals, 5 (5) (1995), pp. 881–884 Article | PDF (310 K) | View Record in Scopus | Citing articles (55) [36] M.S. El Naschie Determining the temperature of the microwave background radiation from the topology and geometry of space–time Chaos, Solitons & Fractals, 14 (2002), pp. 1121–1126 Article | PDF (228 K) | View Record in Scopus | Citing articles (22) [37] Strogatz S. Sync. Penguin Books, London, 2003 [38] H.P. Noyes, T. Bastin, J. Amson, C. Kilmister On the physical interpretation and the mathematical structure of combinatorial Hierarchy Int. J. Theoret. Phys., 13 (7) (1979), pp. 445–488 [39] E.J. Sternglass Before the big bang Four Walls Eight Windows, New York (1997) Address: P.O. Box 272, Cobham, Surrey, UK Copyright © 2003 Elsevier Ltd. All rights reserve
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1 The Electromagnetic Environment.- 2 Electrophysical Forces of Natural Origin.- 3 Man-made Electromagnetic Fields and Ionizing Processes.- 4 Biologic Activity of Static and Low-frequency Fields.- 5 Project Seafarer.- 6 Biologic Activity of Higher-frequency Fields and Chemophysical Reactions.- 7 Biologic Activity of Electromagnetic Energies: General Considerations.- 8 Small Air Ions As Biologically Active Agents.- 9 Biometeorology.- 10 The Divining Rod Phenomenon.- 11 Electromagnetic Fields: Biologic Stress or Therapy?.- 12 Electromagnetic Energies in Man's Immediate Environment.- Appendixes.- A Technical and Electrophysical Terms.- B Parapsychological Observations.- C Acceleration.- D Heredity.- E Heliobiology.- F Conclusion of the Public Service Commission of the State of New York's Opinion #78-13 on 760-kV Transmission Lines.- List of References.
Chapter
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A list of the most important general regularities of the action of weak («non-thermal») and superweak (natural) electromagnetic fields upon biosystems and nonorganic condensed matter is presented. The results of several independent research programs were taken into account. Empiric regularities formulated indicate strongly on important role of nuclear magnetic resonanse in geomagnetic field in the mechanisms of the influence of electromagnetic fields.
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NeuroQuantological principles predict that equations applicable within the microcosmic world should also be valid within macroscopic brain space. We tested the hypothesis that the human brain exists in two different energy states associated with the two hemispheres. The quantal equation f=(Ea-Eb)/h, where Ea is the energy of state a and Eb is the energy of state b and h is Planck's constant, and the solution for temperature from Boltzmann's constant predicted that a difference of only 1 deg C between the two cerebral hemispheres would be sufficient to produce disparities within brain space. This transient condition could facilitate the intrusions into awareness of "another consciousness" reported as a "sensed presence". The results supported our prediction. Moderate strength correlations were found between the report of a sensed presence and the increase in tympanic membrane temperature in the right ear compared to the left ear following 30 min exposure to an optimal environment that involved weak, transcerebral magnetic field stimulation whose point durations could access quantal dimensions.