# Marco PereiraRutgers, The State University of New Jersey | Rutgers · Department of Mathematics

Marco Pereira

BSEE, MSc, PhD, MBA, CQF, FRM, ERP, Series 7/55

## About

51

Publications

53,435

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388

Citations

Introduction

I am seeking people who will defend L-CDM, General Relativity from my criticism and from data.
I unveiled a discovery I made that shows that the Universe has one extra dimension. That dooms General Relativity and L-CDM. I haven't been able to find a single scientist who would say anything about the discovery and consequences.
I welcome those opinative scientists of yesteryears...:) Come...:)
No offer will be rejected...:)
https://www.quora.com/How-would-anyone-defend-general-relativity-from-M

## Publications

Publications (51)

Here we show that a simple model using Newtonian Gravitation is sufficient to explain observations on spiral galaxies. The model allows for the prediction of the extra hydrogen gas mass that travels together with galaxies, thus rendering Dark Matter Halos unnecessary. The ability to predict the amount of "Dunkle Materie" traveling together with a g...

This video talks about inertial motion in a 4D spatial manifold and why things move.
It is important because it provides the reason why galaxies ARE like dots on an expanding balloon.

Here is a short video that demonstrates how the Hypergeometrical Universe Theory (HU) allows for the creation of the Universe without breaking a single law of physics.
In HU, Matter is made from deformed space and thus it leads to the simplest possible Universe model where there isn't anything other than space and time.
Conversely, one can watch t...

Here we present evidence that the analysis of the Supernova Project failed to consider the simplest model which is capable of predicting all type 1a Supernovae (SN1a) distances from their redshifts z. This model is based upon the Hypergeometrical Universe Theory (HU) 1 , where the Universe is a hyperspherical hypersurface under lightspeed radial ex...

This is a short presentation of the Hypergeometrical Universe Theory Hypothesis and Paradigms. I introduce the Lightspeed Expanding Hyperspherical Universe (LEHU) topology.
LEHU is not a solution to Einstein's equations and because of that, I had to provide a replacement for General and Special Relativity.
The second hypothesis has to do with a new...

COURSE ON THE HYPERGEOMETRICAL UNIVERSE THEORY (HU)
JUNE 28-30
We will cover the following topics:
a) The Lightspeed Expanding Hyperspherical Universe Topology and the Fundamental Dilator Paradigm
b) How to create the whole Universe from Nothing without breaking a single law of Physics
c) The Derivation of the Laws of Nature
d) The Sensible Unive...

HU is the Hypergeometrical Universe Theory (HU)[1], proposed in 2006, where the Universe is a Lightspeed Expanding Hyperspherical Hypersurface and Gravitation is an absolute-velocity-dependent, epoch-dependent force. The prior article[2] introduced the Big Pop Cosmogenesis and its quantitative model. Here we use HU Laws of Nature to explain the con...

HU is the Hypergeometrical Universe Theory (HU)[1-8], proposed in 2006, where the Universe is a Lightspeed Expanding Hyperspherical Hypersurface and Gravitation is an absolute-velocity-dependent, epoch-dependent force. Here we introduce the Big Pop Cosmogenesis and show our calculations associated with the Equation of State of the Universe. A seque...

HU is the Hypergeometrical Universe Theory (HU)[1-8], proposed in 2006, where the Universe is a Lightspeed Expanding Hyperspherical Hypersurface and Gravitation is an absolute-velocity-dependent, epoch-dependent force. The prior article[9] introduced the Big Pop Cosmogenesis and its quantitative model. Here we explain the Silver Surfer Paradigm for...

Here are my objections to Dr. Garrigues work, which I deem derivative of my work and inconsistent.
You can read my objections and Dr. Garrigues responses.

This is a detailed record of a great scientific discussion with Dr. Ilja Schmelzer.
Worth reading it.

Continuation of the scientific discussion with Dr. "Lemon", who is under the MWP (mathematician's witness protection) and can only disclose his Alias...:)

Discussion with Lemon about my challenge to Einstein's equations.

I predicted the current CMB observations made by the Planck Satellite. The presentation is vague on purpose because I want to get questions from astronomer and astrophysicists and not just have them copying my work.
SMICA is the Planck Observations.

This is the HU Predictions of the Cosmic Microwave Background. HU is capable of prediction not only the power spectrum but also the mass and temperature distribution in the Universe.

This article shows that the current constraints on the Gravitational Constant G epoch-dependence are not warranted.

This article shows that the Lunar Ranging is not a constraint on the epoch-dependence of the Gravitational Constant.

Slack discussions about the Hypergeometrical Universe Theory
https://join.slack.com/t/hypergeometri-lln8320/shared_invite/enQtODY5OTIxNDc1NDQzLTQ4MzliYzY0YjRjZDM1MzliMGJkY2U0NzhkYjA3NjY2ZmU3M2MwOWMyNTE0NjBhOWI2Njk1MDNmNjNlOGVlNGM

Here we present evidence that the analysis of the Supernova Project failed to consider the simplest model which is capable of predicting all type 1a Supernovae (SN1a) distances from their redshifts z. This model is based upon the Hypergeometrical Universe Theory (HU)1, where the Universe is a hyperspherical hypersurface under lightspeed radial expa...

Here we present evidence that the analysis of the Supernova Project failed to consider the simplest model which is capable of predicting all
type 1a Supernovae (SN1a) distances from their redshifts z.
This model is based upon the Hypergeometrical Universe Theory (HU)1, where the Universe is a hyperspherical hypersurface under lightspeed radial ex...

This article presents the application of the Hypergeometrical Universe Theory (HU) 1 to the Coma Cluster. Here we do not apply the Virial Theorem since the Hypergeometrical Force is velocity dependent. It is shown that the mass radial distribution used on the M33 Spiral Galaxy properly explain the extra mass currently associated with Dark Matter. H...

Here we present evidence of an extra spatial dimension and that our 3D Universe is embedded as a lightspeed expanding hyperspherical hypersurface. Support for this hypothesis comes from (a) SDSS BOSS dataset analysis showing the seeding of Galaxies on the largest scale by spherical acoustic oscillations, (b) the discovery of an Hyperspherical Force...

We are exploring methodology to create the equivalent to Cosmological Tomography.

This paper presents a simple and purely geometrical Grand Unification Theory. Quantum Gravity, Electrostatic and Magnetic interactions are shown in a unified framework. Newton's Gravitational Law, Gauss' Electrostatics Law and Biot-Savart's Electromagnetism Law are derived from first principles. Gravitational Lensing, Mercury Perihelion Precession...

This paper presents a simple and purely geometrical Grand Unification Theory. Quantum Gravity,
Electrostatic and Magnetic interactions are shown in a unified framework. Newton’s, Gauss’ and Biot‐Savart’s Laws are derived from first principles. Unification symmetry is defined for all the existing forces. This alternative model does not require Stro...

This paper presents a new perception of the Universe (HyperG eometrical Universe Theory), a new concept of Time (dimensional time τ) and the addition of an extra dimension of time (Proper or Cosmological Time Φ). Hubble Law is rederived from simple geometric arguments and corrected new derivation shows a way to precisely measure the age of the Univ...

This paper presents a totally new Cosmogenesis Model based on the HyperGeometrical Universe Theory. The Cosmogenesis is cast as a dimensional phase transition that occurred when spacetime fluctuations were above the Grand Unification Condition (see paper I).

PLEASE DOWNLOAD THE NEWER VERSION OF THIS WORK:
https://globaljournals.org/GJSFR_Volume17/3-The-Hypergeometrical-Universe.pdf
Please disregard any mention of ALH (antimatter lagging hypersphere).
I considered that hypothesis as a potential solution of Gamma Ray Bursts. Since they, I have a better candidate.
This paper presents a simple Grand Unif...

The photolysis, geminate recombination and vibrational relaxation of the low affinity ferrous myoglobin nicotinate complex have been studied by femtosecond transient absorption spectroscopy. This is an interesting system due to the peculiar interaction between ligand and protein fluctuations. This ligand is bulky and affects the naturally occurring...

Picosecond phase grating spectroscopy (PGS) is a form of transient grating spectroscopy. This form of spectroscopy is related to holography, in which the constructed image is a diffraction grating. In general, a diffraction grating is capable of light diffraction through spatially periodic modulations in optical absorption, index of refraction, or...

Solid-state diode pump lasers are placing new design criteria for intracavity electro-optics. Potassium titanyl phosphate (KTP) material properties and limitations for Q-switching and modelocking diode pumped systems are discussed. Specific applications include low jitter synchronization to an electronic reference (phase modulation) and high averag...

The activity of numerous biological molecules is controlled by the binding of a receptor which produce changes in structure. These structural changes, in turn, modify the barriers to various catalytic and transport functions. The molecular response function to the stimulus for motion involves specific structural changes that require the correlated...

A four pulse grating geometry has been used to study this relaxation process for carboxymyoglobin (MbCO). The laser system used for these studies was a hybridly modelocked dye laser synchronously amplified by a Nd+3:YLF regenerative amplifier.The grating excitation pulses were 1-2 picoseconds in duration, centered at 575 nm. The grating dynamics we...

Functionally important motions in biological systems requires the correlated displacement of thousands of atoms. The exact mechanism for the protein response to a stimulus for the functionally relevant motions is poorly understood. The classic models for deterministic protein motion rely on potential energy gradients that are created through the in...

Various ways in which the anisotropy can be used to understand ultrafast processes are presented and discussed. Examples include
molecular reorientation, energy transfer between identical systems, excitation dynamics in polymers, reactant product alignment,
protein dynamics and internal motions in fluxional molecules.

The title compound has been widely investigated as a paradigm for photoinduced proton translocation, a mechanism proposed for photomutagenesis in biological systems. The time dependence of proton transfer in 7-azaindole dimers has been measured using femtosecond fluorescence gating and transient absorption techniques. The excited state reaction is...

Fluorescence upconversion was used to measure the time evolution of the fluorescence anisotropy of aniline in three hydrocarbon, alcohol, and aprotic polar solvents. The deconvoluted anisotropy decay time of 0.94±0.05 ps in aniline/isopentane solution is only 54% longer than calculated for free rotation of collision‐free molecules, and increasing t...

Resonance Raman spectra of trans‐1,3,5‐hexatriene in cyclohexane, hexane, methanol, and perfluorohexane are compared with the corresponding vapor phase spectra. The absolute cross sections in cyclohexane indicate that the solvation induced electronic spectral breadth is partly homogeneous (amplitude level in the Raman process) and partly inhomogene...

The study of rotational dynamics of molecules in solution is a source of valuable information on the forces that mediate intermolecular interactions. Although hydrodynamic approachs are moderately successful in describing the motion of large molecules in many liquids, the regime where the solvent induced reorientation and the free, inertial motion...

The study of rotational dynamics of molecules in solution is a source of valuable information on the forces that mediate intermolecular interactions. Fluorescence anisotropy decay has been used to probe the rotational dynamics of large molecules in solution 1,2 . In this work we extend this technique to study small molecules in solution, into the u...

The rate of intramolecular electronic excitation energy transfer in 9,9′ bifluorene has been investigated in a variety of solvents, using both time‐correlated single photon counting and femtosecond fluorescence upconversion technique. The kinetics of energy transfer were determined in both cases by time dependent fluorescence anisotropy measurement...

Ultraviolet fluorescence upconversion gating has been used to measure the fluorescence anisotropy of aniline in four hydrocarbon and alcoholic solvents. The deconvoluted anisotropy decay time of 1.2 ps in isopentane is only about a factor of 2 longer than calculated for free rotation of collision-free molecules, and increasing the solvent viscosity...

The fluorescence anisotropy decay of collision-free trans-stilbene vapor at 463 K has been measured with 5 ps time resolution using fluorescence up-conversion. The anisotropy measured with 302 nm excitation shows a pulsewidth-limited decay attributed to free rotation followed by a constant value at longer times. The long-time anisotropy of 0.069 is...

## Questions

Questions (92)

Here are the github repository links for this project:

Repositories

The Hypergeometrical Universe Theory (HU) introduces a radical new perspective on cosmology, quantum mechanics, and classical forces by challenging conventional frameworks like General Relativity, the Big Bang model, and the Standard Model of particle physics. Below is an extensive overview of HU’s revolutionary achievements and how it redefines our understanding of the universe and its fundamental laws.

1. Foundational Concepts of HU

- Lightspeed Expanding Hyperspherical Universe (LEHU): HU proposes that the universe is a hyperspherical hypersurface expanding at the speed of light in a 4D spatial manifold. This model eliminates the need for constructs such as dark matter, dark energy, and inflation, by explaining cosmic phenomena with inherent structural properties.

- Absolute Reference Frame (ARF): HU posits an absolute frame in a 4D spatial context, applying Lorentz transformations directly to reciprocal space (wavelength and period), not spacetime, thus reinterpreting relativistic effects.

- Quantum Trinity: HU replaces the traditional particle-wave dualism with a trinity comprising the Fundamental Dilator (FD), the dilaton field (4D metric waves), and the Quantum Lagrangian Principle (QLP). The FD acts as a wave generator, creating metric waves that modulate space.

2. Fundamental Matter and Forces Redefined

- Fundamental Dilator and Quantum Lagrangian Principle: Particles in HU are not static; they are shapeshifting deformations of space that interact through metric waves. The QLP is the sole governing principle, replacing Newton's laws by stipulating that FDs travel radially at lightspeed, always aligning spatial dilation in phase with the local dilaton field.

- Gravitation and Electromagnetism as Unified Forces: HU interprets gravitation as a form of Van der Waals force, with the dilaton field oscillating at a high frequency (~10^{24} Hz). This unification allows HU to model gravitational and electromagnetic forces with identical structural dynamics, enabling new applications in fields like magnetic confinement and space propulsion.

3. The Big Pop Cosmogenesis and the Nature of the Universe

- Big Pop vs. Big Bang: HU’s "Big Pop" cosmogenesis circumvents the singularity problem by proposing that the universe began with a spontaneous metric fluctuation, governed by the Heisenberg Uncertainty Principle. This fluctuation evolved without infinite energy or density, avoiding the complex eight-step Big Bang model.

- Stroboscopic Universe and Quantized Absolute Time: HU suggests that time perception is quantized through the tunneling frequency of the FD, creating a "stroboscopic" universe that aligns physical processes with discrete time intervals.

4. Resolutions to Key Cosmological Puzzles

- Horizon Problem: By beginning with a hyperspherical, homogeneously dense "Blackholium" state, HU provides a straightforward explanation for the observed isotropy of the Cosmic Microwave Background (CMB) without the need for inflation.

- Galaxy Rotation Curves and Early Galaxy Formation: HU accounts for galaxy dynamics and distribution using specific mass distributions and cosmic structures, explaining phenomena traditionally attributed to dark matter.

5. Experimental Testability

- Calorimetry and the Absolute Reference Frame: HU’s ARF hypothesis implies that kinetic energy has an upper cap dependent on mass as velocity approaches the speed of light. Experimental tests using calorimetry in particle accelerators could reveal energy deposition discrepancies, offering a tangible way to validate HU over traditional relativity.

- Spacecraft Shielding for Relativistic Travel: HU’s ARF predictions include a "shielding effect" for particles near lightspeed, which could revolutionize space travel by reducing particle interactions at high velocities, potentially enabling interstellar exploration.

6. Implications for Quantum Mechanics and Particle Physics

- Replacement of Particle-Wave Duality: HU proposes that particles are wave generators interacting with their self-generated metric waves according to the QLP. This provides a deterministic framework for particle behavior, as opposed to the probabilistic interpretations of quantum mechanics.

- Non-Perturbative Quantum Chromodynamics (HU-QCD): HU maps its particle model to the Pati-Salam SU(4) model, providing a non-perturbative approach to QCD and suggesting new insights into the strong force without resorting to complex integral functionals.

7. Revolutionary Applications and Future Potential

- Astrophysical and Engineering Advancements: The HU model has profound implications for astrophysics and engineering, particularly in magnetic confinement, stellarator design, and advanced space propulsion systems.

- Predictive Power and Beyond Standard Models: By deriving natural laws from first principles, HU offers predictive solutions that traditional models do not, such as epoch-dependent gravitational constants and explanations for the Faint Sun Paradox.

8. Early Galaxy Formation and JWST Observations

- Explanation for Early Galaxies: HU offers a framework for understanding the early formation of galaxies without invoking dark matter. The theory proposes that galaxies form due to specific, inherent mass distributions dictated by the 4D spatial geometry of the universe, allowing galaxies to coalesce and rotate without the gravitational support of hypothetical dark matter.

- Alignment with JWST Observations: Recent James Webb Space Telescope (JWST) data has shown galaxies at high redshifts that challenge conventional timelines of formation. HU’s initial homogeneous density distribution and evolving mass structures provide a mechanism to account for the existence of mature galaxies in early cosmic epochs, making it highly compatible with the JWST findings.

9. Faint Young Sun Paradox and a Path to Other Stars

- Resolution of the Faint Young Sun Paradox: HU explains that the gravitational constant G varies inversely with the 4D radius of the universe. In early epochs, this variable G would have contributed to stronger gravitational forces, allowing stars like the Sun to be hotter than expected, which sustains conditions conducive to early life on Earth despite a weaker intrinsic luminosity. This dynamic G thus provides a natural resolution to the Faint Young Sun Paradox without additional astrophysical mechanisms.

- Interstellar Travel Using HU Principles: HU’s model for hydrogen “rain” offers a novel propulsion approach, enabling a spacecraft to reach velocities near 1000 km/s by harnessing high-energy hydrogen streams. These streams could be used to sustain fusion reactions far from the Sun, effectively creating a pathway to other stars using the Sun’s gravitational field and particle environment as a launch assist.

10. Gravitation as a Van der Waals Force Unified with Electromagnetism

- Non-Distinction from Electromagnetic Forces: HU reinterprets gravitation as a secondary or Van der Waals-like force, not fundamentally distinct from electromagnetism. According to HU, gravitation arises from the dilaton field at a frequency of 10^{24} Hz, generated by neutral atoms (like hydrogen) that create an oscillating field at the level of fundamental dilators. This reinterpretation unifies gravity and electromagnetism without requiring additional field constructs or hypothetical particles, paving the way for simpler, more unified theories of force.

11. Discovery of the Natural Frequency of Space Deformations

- Intrinsic Space Deformation Frequency: HU identifies a natural frequency for space deformations, which is intrinsic to its metric waves (dilaton field). This frequency, on the order of 10^{24} Hz, is responsible for the propagation of gravitational and electromagnetic forces. The high-frequency oscillation leads to the “screening” effects observed in gravity, explaining why gravitational interactions are significantly weaker than electromagnetic ones. This discovery points toward new ways of detecting gravitational waves and understanding their propagation across the universe.

12. Single-Field Description of Reality and the Introduction of the Cosmological Clock

- Unified Field through the Dilaton Field: HU proposes that the dilaton field—a 4D metric wave—serves as the single fundamental field from which all forces, including gravity and electromagnetism, emerge. Particles generate metric waves (dilaton waves), creating interference patterns that explain classical and quantum phenomena alike, effectively reducing all interactions to manifestations of a single, coherent field.

- Cosmological Clock via Fundamental Dilator Tunneling: HU introduces a universal timekeeper in the form of the Fundamental Dilator Tunneling, a process that represents the absolute time quantization of the universe. This “Cosmological Clock” aligns all particles with the periodic nature of the dilator coherence, ensuring consistent time measurements across reference frames.

- Derivations of Observed Phenomena: HU provides explicit derivations of natural laws using its single-field structure, which are computed through Sympy Python scripts for verification. This includes:

- Planetary Perihelion Precession Rates: HU accurately reproduces observed perihelion precession in planetary orbits without needing general relativistic corrections, indicating that perihelion precession is a result of the inherent dilaton field interactions.

- Gravitational Lensing: HU explains gravitational lensing as a bending of metric waves within the 4D manifold, with no additional field curvatures.

- Binary Quasar Gravitational Power Irradiation: This is explained through the energy transfer mechanisms embedded in the dilaton field’s 4D interactions.

- Gravitational Poynting Vectors and Magnetism: HU derives gravitational Poynting vectors and gravitational magnetism from first principles, linking them directly to the natural frequency and properties of the dilaton field.

HU’s unified field theory not only accounts for these classical and relativistic phenomena but also does so through concise mathematical formulations using Sympy Python scripts, allowing others to replicate and verify these calculations easily. This revolutionary simplicity and coherence mark HU as a groundbreaking shift from established physics models.

The Hypergeometrical Universe Theory challenges and redefines core aspects of physics by integrating classical, quantum, and cosmological frameworks into a single cohesive model. It opens avenues for experimental testing and holds potential to transform how we understand and interact with the cosmos.

Is Qeios a good place to publish? Does it have fees?

I am considering where to publish my work. Qeios seems to be a good place since peer review is open and visible.

As far as I can tell, there are no publishing fees. That said, there might be some downsides.

Other options are Springer Nature, ResearchSquare, Publons, Communication Physics, New Astronomy, Elsevier...

My work is the theory of everything.

Let's consider two egregious cases:

- Christian G. Wolf "iSpacetime"
- Gerd Pommerenke "The Metric Universe" and "Accelerated Expansion: A Fallacy"

**Christian G. Wolf**

Christian Wolf is cynical. When he was presented with the derivation of the "proposed formula" for G, where he hid the value of G in one of the factors, F_g, he just laughed.

In addition to other tautologies and claims that he derived Cosmological Constants with infinite precision (it is a tautology like G=G), the precision depends only on the number of bytes used, he also has a numerology (converting constants to rational numbers.

The reason is simple: The proposed expression for G contains G. The rest of the expression simplifies to 1. I provided the Python Sympy derivations. Anyone can check it.

So, in his "work" you see idiotic ideas like: Time Unit is 1/6961 iSpace-second...:)

**Gerd Pommerenke**

In the case of Gerd Pommerenke, there the model has a logspiral photon path in a 4D spatial manifold. I explained to Gerd that all logspirals models (where the 4D k-vector is at a constant angle with respect to the 3D hypersurface), produce ZERO Redshift.

You can see that from the attached picture ("LightPropagationin4D_left.png").

So, any claim that the model fits the Supernova Observations is fraudulent.

In addition, the model is a simple one-dimensional waveguide model, where a conductance kappa is arbitrarily introduced and given values that create a tautology H_0=H_0.

In other words, when Gerd claims that he calculated the Hubble Constant, he is faking it.

I say faking it because he has been given this information and decided to disregard it. The same goes for Christian G. Wolf.

Nobody is at blame when one makes a mistake in a calculation. To persist after learning the mistake and refuse to retract the work is scientific fraud.

The problem is that the kappa, when inserted into the proposed formula for the Hubble Constant, yields a tautology H_0=H_0.

The reason is simple: The proposed expression contains Kappa_0. Kappa_0 contains H_0. The rest of the expression simplifies to 1. I provided the Python Sympy derivations. Anyone can check it.

Gerd knows that H_0 cannot be a cosmological constant since it is equal to the inverse of the universe's age. Gerd lifted the Universe as a Lightspeed Expanding Hyperspherical Hypersurface from my work without referencing it.

The problem is that, in my theory, all particles are surfing the Inner Dilation Layer, and thus, they cannot move radially at will. They are being dragged by the Inner Dilation Layer.

That is not the case in Gerd's model, so Gerd cannot explain why particles don't diffuse in 4D or why Gravity and Electromagnetism do not decay with cubic distances.

In addition, Gerd's value of vacuum impedance is imaginary, meaning that light would be absorbed as it travels over billions and billions of light-years, resulting in a totally dark sky.

For the value of the impedance, we wouldn't be able to see the Sun!!!

So, the model grossly failed, and the contrived value of kappa was designed to create the tautology.

Hence, in addition to not reproducing redshifts and containing circular reasoning, Gerd's work claim of deriving Cosmological Constants is fraudulent.

Circular reasoning and tautology fraud are very common, so it is worthwhile to evaluate these two models.

Feel free to ask questions. I provided the Python Notebooks showcasing the tautologies.

I had a lengthy discussion with Bernd where I tried to explain the two mistakes he made in his reasoning:

- Berndt starts with an infinite universe (homogeneous mass distribution) with no net Gravitational Force (constant field). Then, he carved a sphere corresponding to our observable universe and used Birkoff's Theorem to neglect the outside matter influence, thus magically generating a radial distribution of mass and a radial gravitational field.
- The second mistake is not recognizing that since the surface of the last scattering (all light we can see), the universe's density is very small. I calculated it to be 1E-17 kg/m**3.

I provided ChatGPT analysis and Dr. Floripes's lecture notes showing how Gravitational Time Dilation Depends upon distance and density.

Berndt didn't know about the existence of Gravitational Blue shift. Once presented with Dr. Floripes's text, he discarded Einstein's Equivalence Principle as "a joke".

So, I decided to check to see how many of you understand my criticism.

Please help Berndt to see the light and correct his nonsensical misinformation (which he spreads to whoever is willing to hear).

Cheers,

Marco Pereira