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The Force of Symmetry

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Abstract

The Force of Symmetry gives an elementary introduction to the spectacular interplay among the three great themes of contemporary physics: quantum behavior, relativity, and symmetry. In clear, nontechnical language, it explores many fascinating aspects of modern physics, discussing the nature and interaction of force and matter. All these themes are drawn together toward the end of the book to describe the most successful physics theory in history, the "standard model" of subatomic particles. The book is suitable for undergraduate students in physics and mathematics.

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... My principle of locality has no corresponding avatar in quantum physics. Our patience, when we smile in front of mutually exclusive pieces of information or when criticism does not upset us, can be related to the simultaneous worthiness of position and momentum in Heisenberg's indeterminacy principle (Icke, 1995) and to the implicit complementarity of the principles of spacetime with the principles of hyperspace in the decoherence appreciated by Niels Bohr (Cassella, 2016a). (The image of the serpent is in the public domain, © ) Conversely, the classical principle of locality stresses in logos that an object cannot exist in separate places simultaneously; and the classical principle of impenetrability, that separate objects cannot occupy the same space at the same time. ...
... In safely crossing an intersection ruled by a yellow traffic light, for example, the principles of ubiquity and coincidence in our quantum senses readjust the principles of locality and impenetrability in our classical senses. As with Heisenberg's indeterminacy principle and the decoherence appreciated by Niels Bohr (Icke, 1995), the quantum indeterminacy suddenly unleashed by a yellow traffic light toward green-light observers is coupled to the alleged certainty conveyed by classical neural computing to red-light observers. Quantum neural computing in the latter, however, must remain vigilant, since an inebriated driver may disrespect simultaneously the classical rule inherent in stopping at a red light and passing with a green light and the quantum rule that invokes prudence in the context of a yellow light. ...
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Before the turn of the 21st century, terrorism and climate change may cause the breakdown of civilization. The cause of this advancing upheaval is the disparity between scientific ascent and social descent. This paper explores the social values hidden in sacred texts and artistic masterpieces through a debatable view of an impaired capacity for renewing familiar reality in Autism Spectrum Disorder (ASD), as well as an impaired ability to preserve shared beliefs in Schizophrenia Spectrum Disorders (SSD). The author posits that we will overcome the challenges unleashed by fundamentalism and global warming if we bolster the alliance of a) our quantum capacity for renovating shared knowledge with our classical ability to preserve it and of b) our appreciation of beauty with a humanistic use of science.
... It therefore appears potentially productive to try pushing back the formal constraints of quantum mechanics at the "incision point" of canonically conjugate quantum observables by constructing a gauge-like (Georgi, 1981) (Icke, 1995) (Mender, 1994) (t'Hooft, 1980 (Weyl, 1952) qualitative distortion operator, through which a wider range--perhaps all sets--of possible psychophysical observables might be "warped" into effective "isoquality" with "action" as a product dimension. It would be expected that in one limiting special case, applicable to canonically conjugate observables themselves, the effect of this warping operator must vanish, while for other sets of "qualia" commensurately non-negligible distortion is required. ...
... The surface of the sphere is symmetrical only to the extent that, once a "gauge" compensating for curvature-related changes of angles is applied in locally varying ways to each different point of the shifted shape, the same invariance can be inferred for all points; we may call this a local rather than a global symmetry. The surface of the cylinder demonstrates an apparent symmetry similar to that of the plane, but this similarity is not comprehensive: figures shifted along a looped path across the entire cylinder's surface in the direction of non-flat "extrinsic" curvature will be reduplicated topologically; this reduplicative effect can be understood in terms of global symmetry breaking (Georgi, 1981) (Icke, 1995) (Mender, 1994) (Weinberg, 1952). Variations in the ...
Article
This paper argues that all attempts employing exclusively ontological or epistemological constructs from metaphysics to solve the Hard Problem of consciousness and its attendant Explanatory Gap have failed. An alternative solution, harnessing isomorphisms between axiologically allied notions of risk and agency on one hand and quantum measurement operators on the other hand, is proposed. In order to broaden rigorously the applicability of these isomorphisms beyond canonically conjugate observables, i. e. with an aim of engaging the full phenomenal range of the Hard Problem and Explanatory Gap while leaving inviolate the apparent causal completeness of physics , an " isoqualitative " distortion gauge with " extrinsic " curvature is introduced. Potential relevance of this theoretical construct to the sentient brain ' s quasi-­‐continuous " measurement " operations " in vivo " is demonstrated , and possible implications for a future " geometric " nosology of " deviant " consciousness are postulated .
... That phenomenon, called entanglement, implies that quantum information processing is supported by an infinite "speed" in nonlocality (Lloyd, 2006). Other clues on the ability of subatomic particles to "travel" beyond the speed of light in nonlocal, or quantum hyper-space are (a) a ubiquity-prone facet of quantum superposition (Icke, 1995) that invites virtual particles to dwell in independent locations simultaneously (an example to the matter is the feat of an electron or a photon to cross two openings at the same time) (Feynman, 1985); (b) a coincidence-prone facet of superposition by which an electron and a positron exist unseen behind the same photon, or a photon interferes with itself along the separated constituents of a ray of light (Cassella, 2011); and (c) the implications by the symmetry theory that fermions (particles associated to matter) can transform into bosons (particles associated to energy) by undergoing a 180 degrees rotation in a nonlocal dimension (Icke, 1995). ...
... That phenomenon, called entanglement, implies that quantum information processing is supported by an infinite "speed" in nonlocality (Lloyd, 2006). Other clues on the ability of subatomic particles to "travel" beyond the speed of light in nonlocal, or quantum hyper-space are (a) a ubiquity-prone facet of quantum superposition (Icke, 1995) that invites virtual particles to dwell in independent locations simultaneously (an example to the matter is the feat of an electron or a photon to cross two openings at the same time) (Feynman, 1985); (b) a coincidence-prone facet of superposition by which an electron and a positron exist unseen behind the same photon, or a photon interferes with itself along the separated constituents of a ray of light (Cassella, 2011); and (c) the implications by the symmetry theory that fermions (particles associated to matter) can transform into bosons (particles associated to energy) by undergoing a 180 degrees rotation in a nonlocal dimension (Icke, 1995). ...
Article
Anomalies in the discourse of autistic individuals and in their performance in ambiguous situations suggest that quantum neural computing, or the second attention, is impaired in autism. When nonautistic individuals face a dilemma, quantum divergence-coherence a) suspends the legitimacy of relevant prototypical knowledge conserved through classical neural computing, or the first attention; b) launches the implicit self into opposite directions; and c) simulates the consequences of clashing variants in the working memory fed by cerebellar microcomplexes. Conversely, quantum convergence-decoherence selects a useful or amusing variant to reduce the consequences of blind trial-and-error in readjusting the knowledge stored in the long-term memory banks of the cerebral cortex. In this article, a view of the psychological roots of quantum coherence-decoherence, injuries detected in autopsied brains of infants and adults with autism, and the application of modern control theory to cerebellar-brainstem microcomplexes lead to a preliminary heuristics on the complementarity of classical and quantum computing in the nonautistic brain.
... This property of Fermion wavefunctions is well known [6]. The double-valuedness of the wavefunction nevertheless leaves the probability single-valued, because the probability is computed as the product of the φ factor on the R.H.S. of (74) with its own complex conjugate, and thus the imaginery exponent produces a probability that is independent of the angle φ for all values of the exponent; i.e. of n in (73) and (74). ...
... Blatt and Weisskopf [11, p.783] quote the unpublished argument of Nordsieck that dismisses single-valuedness as unnecessary because only probability densities and expectation values must be singled-valued; his argument is reinforced by noting that double-valued wave functions are used in the theory of particles with spin. 6 of M 2 and M z ...
Article
The Fermion Spherical harmonics [Ym(θ,ϕ)Y_\ell^{m}(\theta,\phi) for half-odd-integer \ell and m - presented in a previous paper] are shown to have the same eigenfunction properties as the well-known Boson Spherical Harmonics [Ym(θ,ϕ)Y_\ell^{m}(\theta,\phi) for integer \ell and m]. The Fermion functions are shown to differ from the Boson functions in so far as the ladder operators M+M_+ (MM_-) that ascend (descend) the sequence of harmonics over the values of m for a given value of \ell, do not produce the expected result {\em in just one case}: when the value of m changes from ±1/2\pm{1/2} to 1/2\mp{1/2}; i.e. when m changes sign; in all other cases the ladder operators produce the usually expected result including anihilation when a ladder operator attempts to take m outside the range: m+-\ell\le m\le +\ell. The unexpected result in the one case does not invalidate this scalar coordinate representation of spin angular momentum, because the eigenfunction property is essential for a valid quantum mechanical state, whereas ladder operators relating states with different eigenvalues are not essential, and are in fact known only for a few physical systems; that this coordinate representation of spin angular momentum differs from the abstract theory of angular momentum in this respect, is simply an interesting curiosity. This new representation of spin angular momentum is expected to find application in the theoretical description of physical systems and experiments in which the spin-angular momentum (and associated magnetic moment) of a particle is oriented in space, since the orientation is specifiable by the spherical polar angles, θ\theta and ϕ\phi.
... Figure S5: NIR spectrum of 3HFWC at different temperatures. References [69][70][71][72] ...
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In order to maximally reduce the toxicity of fullerenol (the first derivative of C60, FD-C60), and increase its biomedical efficiency, the second derivative SD-C60 (3HFWC, Hyper-Harmonized Hydroxylated Fullerene Water Complex) was created. Several different methods were applied in the comparative characterization of FD-C60 and SD-C60 with the same OH groups in their core. FD-C60 as an individual structure was about 1.3 nm in size, while SD-C60 as an individual structure was 10–30 nm in size. Based on ten physicochemical methods and techniques, FD-C60 and SD-C60 were found to be two different substances in terms of size, structure, and physicochemical properties; FD-C60, at 100 °C, had endothermic characteristics, while SD-C60, at 133 °C, had exothermic characteristics; FD-C60 did not have water layers, while SD-C60 had water layers; the zeta potential of FD-C60 was −25.85 mV, while it was −43.29 mV for SD-C60. SD-C60 is a promising substance for use in cosmetics and pharmaceuticals.
... Color SU (3) is the gauge symmetry that governs color change and interaction among quarks under quantum chromodynamics (Brower, Mathur and Tan, 2000;Icke, 1995;Polchinski and Strassler, 2002). Absent violations of Color SU(3) -Aaij et al. (2015), for instance, found evidence of pentaquark states with a confidence of 15σ, in contrast with the failure of Amsler et al. (2008Amsler et al. ( : pp. ...
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Este artículo pretende la rehabilitación del modelo de valoración de activos financieros mediante la escisión de la beta, la unidad básica de riesgo sistemático, en componentes subatómicos (o “bariónicos”). Por analogía con la cromodinámica cuántica y otros aspectos del modelo estándar de la física de partículas, se bifurca la beta a ambos lados de los rendimientos medios y en distintos componentes que reflejan la volatilidad relativa y la correlación, así como en los efectos flujo de caja y tasa de descuento. La escisión del átomo del riesgo sistemático da respuesta a alguna de las más controvertidas anomalías (y puzles) in finanzas, tales como los rendimientos anómalos de las acciones de baja capitalización y de valor, la anomalía relativa a la baja volatilidad y el puzle de la prima de riesgo de las acciones.
... As Harry Potter (Cassella, 2018c) crosses a brick wall in London"s King"s Cross Station (Rowling, 1997) and the resurrected Christ enters the locked house of his frightened disciples (John,(20)(21)(22)(23)(24)(25), different objects can share the same space at the same time ("from all things, the one"), which is in line with quantum superposition (Icke, 1995). Similarly, when Harry Potter secretly observes his past self (Rowling, 1999), he suggests that one object can exist in more than one place ("and from the one, all things"), as in quantum entanglement (Feynman, 1985). ...
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By placing the Ark of the Covenant in the first Jewish Temple in the 10th century before the Common Era (BCE), King Solomon relieved Levite priests from carrying the Ark. Three centuries later, King Josiah of Judah asked the Levites to return that container to the Temple, implying that it was no longer there. The gold-plated Ark enclosed more than an unvarying law in the Decalogue and in the ‘obedience-classical-computing’ of the crystal Thummim sewed into the Ephod worn by Aaron, the first high priest. Aaron’s vest also contained the crystal Urim, or flexible variations between obedience and disobedience, in the quantum computing epitomized by the ‘tree-of-the-knowledge-of-good-and-evil’ (Genesis 2). Together, the Thummim and Urim crystals embody the Wisdom ascribed to nature’s Nature and to the Tree-of-Life. Solomon shared this Wisdom with the visiting Queen of Sheba. Although the Ark may have never followed Sheba’s return into Ethiopia, her mariners could have shared Solomon’s Wisdom with Greek, Hindu, Chinese, and Olmec sages. This hypothesis addresses the simultaneous rise in the 6th century BCE of the Logos posited by Heraclitus in Greek-Ionia; of Dharma in Hinduism, of the Buddhist-Sanskrit name “Tathāgatha”; of Social Intelligence in the meeting of Laozi with Kong-Fuzi in China; and, among the Mesoamerican Olmecs, of the legend about the bird-serpent that the Aztecs called later “Quetzal-coatl.” The power of the returning Quetzalcoatl to save humans and nonhuman species from obliteration matches the will of readers eager to catch the esoteric meaning of the vanished Ark.
... Under the nonlocal principle of Coincidence, transcendental zero welcomes both the merging of the classical speed and position of a subatomic particle in Heisenberg's uncertainty principle and the local merging of life and death in Schrödinger's cat (Icke, 1995;McEvoy & Zarate, 1999). I mean the cat enclosed in the box in which a radioactive particle, after a certain period of time, has released, or has not released, a deadly gaseous poison into the lungs of the confined animal. ...
Article
p>The perfect memory that informs our local autistic facet is insufficient to deal with the unforeseen change that challenges our nonlocal artistic facet. The loss of quantum nonlocality leads autistics to fail tests rooted in overcoming the less-than-perfect ambiguity that elicits our creativity. The psychological structure by which perfect memory and less-than-perfect creativity empower each other remains in darkness. This article broaches the hypothesis that Leonardo da Vinci envisioned the union of local perfection and nonlocal less-than-perfection, and that he hid his insight in the Adoration of the Magi. Leonardo’s knowledge - expressed here as the logos heuristic—guides a psychological interpretation of the smile of Mona Lisa; of the four avatars of the Vitruvian Man; of the recognition and location of Leonardo’s unknown painting Natività; of the exact location of his lost work, Battaglia di Anghiari; and of a 39,000-year-old abstract engraving in Gorham’s cave at Gibraltar. Logos can be used to single out local, nonlocal computing, and their alliance in pursuing a humanistic path to progress.</p
... The coupled modes of this process rely on a special form of the harmonic oscillator called the incursive oscillator42434445464748. There is a force of coherence [49]. For example for an Earth observe r's temporal perception, railroad tracks recede into a point at the horizon. ...
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Abs tract Transmissible prion based spongiform encephalopathies propagate by conformational change of the prion's protein, PrP structure. An experimental design, relying on the utility of a new fundamental teleological action principle inherent in the topolo gical geometry of a covariant polarized Dirac vacuum putatively driving self-organization in all autopoietic complex living systems , is developed to elucidate the fundamental nature of this conformational change. Further, PrP propagation is considered a mechanical action that can be described by 'interactive computational modes' of 'topological switching' driven by incursive oscillations occurring in the bioenergetics of the prions physical chemistry when improperly coupled to the long-range coherence of the noetic action. The experimental apparatus, a multi-level interferometer , is designed to focus this noetic field in a manner that simulates the mechanism driving PrP conformation to pathological form.
... x Readers are referred to Icke, 1995, andLederman &Hill, 2004, for two popular introductions to the world of symmetries and groups. xi Noether's theorem(s) is unsurpassed in its significance and beauty (and a great illustration of Wigner's "unreasonable" effectiveness of Mathematics in the Natural Sciences). ...
... Bosons and fermions can't be transformed into each other because their phase paths have different topology. Only if there are other dimensions a fermion can be untwisted into a boson [4]. In supersymmetric equations we can interchange a fermion with a boson [7]. ...
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At high school I wondered why differentiating acceleration gives velocity and why differentiating velocity gives distance and why differentiating the surface of a disc gives the circumference. There must be a deep relationship between all the quantities. And not until I studied biology I learned about complex num-bers. I became convinced that complex numbers must be very natural just like the number 'zero' and negative numbers are. A few years ago I read about hy-percomplex number systems like quaternions, octonions, Grassmann numbers en Clifford algebra. But which numbers systems are seen in nature and which ones are not? I became also convinced that nature and mathematics must be very close intertwined. The mathematics according to which physics is composed I will refere to as real mathematics. Ultimately physics will provide emperical input to confirm what the real mathematics is. Ofcourse we can use other kinds of math for different things, but real mathematics must be inherently true and in that sense be different from and limiting the other possible mathematical alge-bras. I believe that proportional imaginairy quantities are the key. They are the elements of the hypercomplex. The physical equations have their origin in and are limited by this intrinsic structure. How can we discover this intrinsic structure? Dimensionality In a quantity table cells next to each other differ by length and cells below each other differ by time (or velocity). We can make for example a kg 1 m x s y -table with energy, momentum, mass, power, force and pressure. Physical quantities can be brought back into at least 7 of such quantity tables. All quantities with 'charge' like mass and electric charge, although different dimensions, have something in common. I named it 'dimensionality ', which slightly extends the concept of 'dimension' used in dimensional analyses. I put all quantities with the same dimensionality together. In this way all physical quantities are merged into one table, the main quantity table, defined by only two arbitrary dimensionalities.
... At least since the work of Isaac Newton (1642–1727), physicists and chemists have grappled with universal symmetry and its implications for understanding the nature of the universe [1]. It is only recently that biologists have become interested in symmetry per se and in departures from perfect symmetry too [2]. ...
Article
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The degree of departure from perfect symmetry in organisms, fluctuating asymmetry (FA), is seen in most populations of animals. It has particular impact on choice of mate which lies within the world of sexual selection. Here I consider a relatively little studied aspect of sexual selection, i.e. the effect of FA on contests between males for mates, based not on display ornament but rather on agility seen in the mating systems of many insects. The model organism considered is the ubiquitous chironomid midge. In these flies, mating takes place in the air, so symmetry in the length of wings bears directly on a male’s aerobatic ability on which successful mating depends. The role of parasites and predators in creating and responding to FA in the host/prey midge is considered.
... First, we must view our problem against the backdrop of a general picture of cosmic evolution (Denbigh, 1975; Layzer, 1990). The key concept here is spontaneous symmetry breaking, which is the framework within which the origin all novelty and all complex structures and processes in the universe must ultimately be understood (Icke, 1995). To explain this phenomenon, physicists have developed a variety of mathematical tools (above all, the ...
Article
The word design is commonly used to refer to either a process of conscious reflection and planning, or the product of this process. Either way, it is essentially connected with thinking. In the process sense, design connotes the particular end that a thinking agent has in mind. For instance, my design may be to build a better mousetrap. In this sense, design is both intentional (directed toward having more dead mice) and normative (more dead mice is good). In the product sense, design refers to a particular organization imposed on matter by the agent as the means to an end. In this example, the new arrangement I come up with is the means embodied in matter for the fulfillment of the end of more dead mice. In this sense, design is teleological (more dead mice is its goal). Like a number of problems in biology, design presents us with a chicken-and-egg sort of circularity. Mousetraps are designed by minds instantiated in brains, but brains themselves seem to be a lot like mousetraps. That is to say, to many, neurons seem to be arranged for the sake of thinking in much the same way that springs and levers in mousetraps are arranged for the sake of dead mice. But if that is so, then who or what designed brains? Perhaps human brains were designed by other minds somewhere else---say, in another galaxy or on another plane of being (this is the Intelligent Design position). But if these other minds are supposed to be instantiated in matter, then we have the same problem all over again. If not, then we are left with disembodied minds---which are even more mysterious than the embodied sort. To avoid both horns of this dilemma, a completely different approach is required.
... In the Pauli matrix representation this summation (in (6,7)) is the scalar product of the transpose of α, β ({1, 0}, {0, 1}) with the 2×1 column vectors. Identifying the 2 elements of the column-vector eigenfunctions of the Pauli representation as a space of 2 points spanned by the "spin coordinate", is a dubious concept, for as Schiff shows [2, pp.144-147] the number of points of the spin-space increases with the total angular momentum quantum number, j: it is 2 j + 1 for j = 1/2, 1, 3/2, etc. ...
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Spherical Harmonics, Ym(θ,ϕ)Y_\ell^m(\theta,\phi), are derived and presented (in a Table) for half-odd-integer values of \ell and m. These functions are eigenfunctions of L2L^2 and LzL_z written as differential operators in the spherical-polar angles, θ\theta and ϕ\phi. The Fermion Spherical Harmonics are a new, scalar and angular-coordinate-dependent representation of fermion spin angular momentum. They have 4π4\pi symmetry in the angle ϕ\phi, and hence are not single-valued functions on the Euclidean unit sphere; they are double-valued functions on the sphere, or alternatively are interpreted as having a double-sphere as their domain. Comment: 16 pages, 2 Tables. Submitted to J.Phys.A
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