de Broglie-Bohm theory Research Papers (original) (raw)

Part I – Spirilla Theory and Cosmology Stephen Hawking once proclaimed that String Theory may be able to unify the various forces although later he became disillusioned thinking that there may be no Theory of Everything. This very... more

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- P Adic Analysis, Quantum Physics, Chemistry, Space Sciences

Many scientists have advocated that there must be a pilot wave or fundamental controlling wave. The leaders in this area are of course de Broglie and Bohm. contributors (2020d) contributors (2020c) They were correct, however, they never found the actual frequency or pilot wave that they knew must exist. Finally, it has been discovered. By Entangling the CMB not only was the Pilot wave revealed but also an incredible amount of information followed, such as the complete model of the Entangled Hydrogen Atom with the full decoherence cycle or wave collapse, and in this decoherence all the missing pieces of the puzzle were found. Solving all the remaining major problems of Quantum Mechanics, Relativity, and the Pilot Wave Theory. Proving these theories were not incorrect just incomplete. With the Entangled CMB model, it is proven that all these theories combine to make one unified theory. This can only be accomplished with The theory of Complementarity. This is a brief explanation of a small part of this discovery.

- by Mark L Moody
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- Mathematics, Quantum Physics, Relativity, General Relativity

The paper takes up Bell's (1987) "Everett (?) theory" and develops it further. The resulting theory is about the system of all particles in the universe, each located in ordinary, 3-dimensional space. This many-particle system as a whole performs random jumps through 3N-dimensional configuration space - hence "Tychistic Bohmian Mechanics" (TBM). The distribution of its spontaneous localisations in configuration space is given by the Born Rule probability measure for the universal wavefunction. Contra Bell, the theory is argued to satisfy the minimal desiderata for a Bohmian theory within the Primitive Ontology framework (for which we offer a metaphysically more perspicuous formulation than is customary). TBM's formalism is that of ordinary Bohmian Mechanics (BM), without the postulate of continuous particle trajectories and their deterministic dynamics. This "rump formalism" receives, however, a different interpretation. We defend TBM as an empirically adequate and coherent quantum theory. Objections voiced by Bell and Maudlin are rebutted. The "for all practical purposes"-classical, Everettian worlds (i.e. quasi-classical histories) exist sequentially in TBM (rather than simultaneously, as in the Everett interpretation). In a temporally coarse-grained sense, they quasi-persist. By contrast, the individual particles themselves cease to persist.

- by Alexander Ehmann
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- Philosophy, Philosophy of Physics, Underdetermination, Bohmian Mechanics

What we call "randomness" in classical mechanics is our ignorance of the causes of a certain amount of phenomena because these causes are too numerous (statistical physics) or too complex (chaos physics). This notion of randomness is replaced in quantum mechanics by an indeterminacy, meaning that even an omniscient being wouldn't be able to predict a measurement's result : the fact that an option or another will come true is contingent, even if a certain probability can be assigned to each one of it. This ontological particularity disturbs the definition process of a few philosophical concepts such as identity or causality ; we propose a new definition for the latter and show why the first must be abandoned. It also creates paradoxes at the frontier of the quantum and the classical scales (Schrödinger's cat and von Neumann's endless chain).
This is valid for the standard interpretation of quantum mechanics (called « Copenhagen interpretation ») but there are alternatives such as the hidden variables theories, Everett's universal wave function and the transactional interpretation (TIQM), which all show some points of interest but also introduce a certain amount of problems, and their representations in particular don't fit with a relativistic formalism. However this seems to be typical of any quantum formalism. We are thus allowed to claim that the most advantageous option is the one of the hidden variables, which offers a variety of theories whose most extended is the de Broglie-Bohm theory. Its main problem is its reading of the wave function as a classical wave and its advantage is its ability to explain the majority of quantum phenomena in deterministic terms already.

Subtitle: Erroneous Use of Linear Proportionate Estimates of Angular Polarized Light Transmission (Not Exponential Optical Physics’ Cos²θ [Malus’ Law] or Wave Amplitude Transmission) Creates “Straw Men” Expectation Values for Local Hidden Variables in Bell’s Inequality Experiments
Abstract: Bell’s Theorem, which states that no theory of local hidden variables (LHV) can account for all predictions of Quantum Mechanics, is based on Bell’s Inequality (BI) experiments. Physicists conducting BI tests systematically disregard the local causality of paired “entangled” photons produced from parametric down-conversion (previously from laser-excited calcite crystals). Moreover, linear probabilistic formulas in BI experiments are used for the so-called “classical” physics estimate (also called intuitive or “naïve,” see Fig. 1), of the measured polarized photon transmission for different filter angles, instead of using optical physics’ Malus’ Law (ML), a sinusoidal and exponentially based (Cos²θ) estimate. Interestingly, wave physics (wave amplitude transmission, equivalent to the quantum Born rule), gives the same exponential result, resulting in a sinusoidal wave for expected values when graphed (Fig. 1). As a result, a Classical Physics “Straw Man” based on erroneous mathematical principles is compared to “quantum predictions,” which in fact generally use classical optical physics for their prediction (ML or Fresnel equations). This thesis will demonstrate these facts and their resulting implications by citing BI studies and physicists’ commentaries (including John Bell’s). The important differences between fermionic particle spin entanglement and bosonic photon spin and linear polarization “entanglement,” and an alternative minimalistic view of the deBroglie-Bohm pilot-wave theory, will also be presented.

- by Arthur S Dixon
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- Quantum Physics, Cosmology (Physics), Quantum Gravity, Anthropology of Knowledge

Resumen teórico de los principales tópicos que suelen impartirse en un curso de física moderna

- by Javier Rodríguez
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- Quantum Physics, Quantum Mechanics, Modern physics, Niels Bohr

It has been suggested that the wave function of the universe is not ontic but nomological, and there are only particles in the ontology of Bohmian mechanics. In this paper, I argue that this view will lead to certain impossible situations, such as that two free Bohmian particles, which have exactly the same properties and the same state of motion initially, may have different states of motion later. In order to solve this issue, the wave function must be included in the ontology of Bohmian mechanics.

- by Shan Gao
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- Quantum Physics, Philosophy of Science, Philosophy of Physics, Quantum Information

The inclusion of entanglement and decoherence unifying Quantum Mechanics and Relativity. 1. Abstract A new system has been discovered that defies everything we thought we knew about mathematics and science. In a very stunning discovery, for the first time, we can see decoherence, entanglement, and particle creation.
We believed that decoherence would destroy the stable environment and make the particle or wave blink out of existence. However, we now find that decoherence can exist in a stable environment without destroying it and it is crucial to keep the system stable.
Science has largely ignored decoherence because until now we could not calculate or measure it. We assumed it must not be that important. However, with the new system Wave Pattern Entangled Math we have finally lifted the veil on entanglement and decoherence, and we find the bridge to Quantum Mechanics and Relativity.
We find in the decoherence all the answers we have been seeking. In one simple matrix made by decoherence the period or time is accurately calculated not just for the entire cycle but also for each individual photon energy release. Entanglement, coherence, decoherence, time, mass, force, spin, energy, frequency, temperature, and every single attribute known to modern-day physics are represented.
This makes it, I believe one of the most important scientific and mathematical discoveries of all time. It also says that without a doubt it is the key to unlocking the secrets to the universe. The universal code that makes all things. The very code of creation.

- by Mark L Moody
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- Physics, Quantum Physics, Relativity, General Relativity

a unification of General Relativity and Quantum Electrodynamics based on extention of Bell's Pedagogy

Und wenn jemand noch einen Beweis dafür braucht, dass der gesellschaftliche Werdegang nicht von großen Denkern abhängt, könnte man anführen, dass Albert Einstein, als er den dichten Nebel der gesellschaftlichen Zukunft durchdringen wollte, nichts Wesentliches zu sagen wusste und nur die alten und schal gewordenen Phrasen wiederholte - er, der große Ikonoklast des Denkens, unternahm auch nicht den geringsten Versuch, sich ihrer elenden Fesseln zu entledigen.

- by n+1 Magazine
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- Marxism, Henri Bergson, Karl Marx, Albert Einstein

We propose the notion of a classical/quantum duality in the gravitational case (it can be extended to other interactions). By this one means exchanging Bohm's quantum potential for the classical potential V_Q ↔ V in the stationary quantum Hamilton-Jacobi equation (QHJE) so that V_Q + V = −V_0 (V_0 is the ground state energy). Despite that the corresponding Schrödinger equations, and their solutions differ, their associated quantum Hamilton-Jacobi equation, and ground state energy remains the same. This is how the classical/quantum duality is implemented. In this scenario Bohm's quantum potential (which coincides with the attractive Newtonian potential) is now correlated to a classical repulsive gravitational potential (plus a constant). These results suggest that there might be a quantum origin to the classical repulsive gravitational behavior (of the accelerated expansion) of the universe which is based on this notion of classical/quantum duality.

It is shown that the de Broglie-Bohm theory has a potential problem concerning the mass and charge distributions of a quantum system such as an electron. According to the de Broglie-Bohm theory, the mass and charge of an electron are localized in a position where its Bohmian particle is. However, protective measurement indicates that they are not localized in one position but distributed throughout space, and the mass and charge density of the electron in each position is proportional to the modulus square of its wave function there.

This paper introduces a fluid aether formed by discrete, 3D-extended energy-like sagions obeying three conservation principles of classical mechanics: total energy, linear momentum, and angular momentum. In contrast to Newtonian mechanics, neither mass, nor force are primitive notions (hence, the " Cartesian "), but the theory is atomistic (hence the " neo "). Firstly, the notions of field, continuity, discreteness, extension, and philosophical and empirical reasons leading to reinstating aether are clarified. The collective fluid behaviour is described by the classical wave equation, also known as the homogeneous Klein-Gordon equation (HKGE). Connections of electromagnetism (EM), gravity and quantum mechanics (QM) to the theory of fluids are noted. The goal is to attain a unified field theory that contain as special cases the other " forces ". In particular, QM must be relativistic ab initio for consistency with Einstein " s general theory of relativity (GTR), while GTR must be extended to allow for permanent violation of the principle of equivalence, in the sense that gravity interactions depend upon composition of matter, as effectively observed in the original Eötvös experiment, and in the outstanding, but neglected, experiments of Quirino Majorana. Of particular interest are three families of nonharmonic solutions to the HKGE discovered by this author in the 1990s. The minimum angular momentum in sagion-sagion interactions is identified as Planck constant, thus introducing quantum features in classical mechanics. Coalescence of sagions leads to a kinematic theory of photons and fundamental particles, whose simplest object is a rotating dumbbell, which forms a torus in 3D-space. Acceleration produced by successive pushes of a small projectile (say, a sagion) generates an acceleration curve resembling Einstein " s mass increase, thus giving a different interpretation to some claims of special theory of relativity (STR); in particular, Bertozzi experiment is explained as an inefficient transfer of linear momentum, and the fitting of Bertozzi data by neo-Cartesian predictions is superior to STR " s predictions.

It has been usually assumed that under very general and common conditions the outcome of a collision experiment does not depend on the properties of the projectiles' beam [1]. However, recent evidence in ionization experiments [2] points to a breakdown of these conditions and a dependence of the collision outcome on the incident beam's coherence properties. These facts open the question of how is the result of a collision affected by the preparation of the projectiles' beam.
This thesis presents a study of this problem analyzing inconsistencies of the standard stationary formulation of the scattering theory [1], and how these can affect the interpretation of projectile's coherence effects in ion impact collision experiments. To get this done, the framework of the De Broglie-Bohm formulation [3, 4] was used, which has recently recovered its lost mommentum due to its ability to deal with novel weak measurement results [5, 6]. In addition, this formulation is an advantageous option to describe a number of physical problems of current interest, such as the method of quantum trajectories developed by Robert E. Wyatt [7], or the study of effects such as the appearance of vortices in multichannel processes [8].

- by Paavo Pylkkanen
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- Psychology, Ontology, Consciousness, Mental Causation

It is shown that a wave mechanical quantum theory can be derived from relativistic classical electrodynamics, as a feature of the magnetic interaction of Dirac particles modeled as relativistically circulating point charges. The magnetic force between two classical point charges, each undergoing relativistic circulatory motion of small radius compared to the separation between their centers of circulation, and assuming a time-symmetric electromagnetic interaction, is modulated by a factor that behaves similarly to the Schr\"odinger wavefunction. The magnetic force between relativistically-circulating charges has been shown previously to have a radially-directed inverse-square part of similar strength to the Coulomb force, and sinusoidally modulated by the phase difference of the charges' circulatory motions. The magnetic force modulation in the case of relatively moving centers of charge circulation solves an equation formally identical to the time-dependent free-particle Schr\"odinger equation, apart from a factor of two on the partial time derivative term. Considering motion in a time-independent potential obtains that the modulation also satisfies an equation formally similar to the time-independent Schro\"dinger equation. Using a formula for relativistic rest energy advanced by Osiak, the time-independent Schr\"odinger equation is solved exactly by the resulting modulation function. The significance of the quantum mechanical wavefunction follows straightforwardly from these observations. After considering the modification of Wheeler-Feynman absorber theory required by the adoption of Minkowski-Osiak relativity, the model is extended to obtain the full complex Schr\"odinger wavefunction.

In the de Broglie-Bohm formulation of quantum theory, the quantum force exactly cancels the Coulomb attractive force in atomic \emph{s}-states. In this paper it is contended, based on energy conservation, that the force on a charge in a time-advanced electromagnetic field is of opposite sign to the Lorentz force due to the retarded field, and that such an advanced classical electromagnetic force accounts for part of Bohm's quantum force. If Coulomb attraction is negated, then some other mechanism must bind electrons to the nuclei of atoms. It is proposed magnetic interactions between relativistically-moving charges may account for atomic binding without assumption of a Coulomb potential. If charged spin-half particles always move luminally, as the Dirac theory implies, and so moving give rise to the intrinsic magnetic moment, then magnetic spin-spin interactions stronger than currently recognized are to be expected. Part of the magnetic interaction between equal-mass Dirac particles has been previously shown to be radial and inverse-square, of equal strength to Coulomb interaction, and sinusoidally modulated by interparticle separation with a spatial period equal the de Broglie wavelength. The Coulomb-like spin-spin interaction is further elaborated to show explicit correspondence with the de Broglie matter wave and Schr\"odinger wavefunction. It is proposed spin-spin interactions as expected according to this line of reasoning can properly account for the formation of atoms, if the electromagnetic interaction in atoms is classical and time symmetric, and if quarks and leptons are composed of more-fundamental spin-half particles.

- by David Lush
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- Mathematical Physics, Theoretical Physics, Quantum Physics, Particle Physics

How are we to understand the causal status of consciousness? In philosophy of mind there has been a long debate about the problem of mental causation. Many philosophers assume that consciousness is in some sense a nonphysical property. But this immediately gives rise to the problem of understanding how something nonphysical could possibly influence something physical. This paper explores whether the ontological interpretation of quantum theory (Bohm and Hiley 1993) might throw new light upon this perennial issue. This interpretation suggests that a new type of active information is playing a key causal role in physical processes at the quantum level. Now, many suggestions about the putative causal powers of consciousness refer to the important role of information (van Gulick 2014; Revonsuo 2006; Tononi and Koch 2015). This suggests a strategy for the present paper. We will first consider how the various suggestions about the causal status of consciousness involve information before asking whether such information in mental and conscious states could be connected to information at the quantum level. In this way we can begin to understand mental causation, and the causal role of conscious experiences in particular, in a new way.

- by Paavo Pylkkanen
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- Mental Causation, Information Integration, Philosophy of information, David Bohm

Giáo, Andrade e Silva, Vassalo Pereira, Croca,Brotas
4 brilliant disciples

- by Ze Carlos
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- Physics, Quantum Physics, de Broglie-Bohm theory, pilot wave

In the framework of a cosmological model of the Universe filled with a nonrelativistic particle soup, we easily reproduce inflation due to the quantum potential. The lightest particles in the soup serve as a driving force of this simple, natural and promising mechanism. It is explicitly demonstrated that the appropriate choice of their mass and fraction leads to reasonable numbers of e-folds. Thus, the direct introduction of the quantum potential into cosmology of the earliest Universe gives ample opportunities of successful reconsideration of the modern inflationary theory.

- by Maxim Eingorn
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- Mathematical Physics, Physics, Theoretical Physics, Elementary Particle Physics

Young's double slit experiments, which represent the mystery of quantum mechanics, have been interpreted by quantum probability waves and by de Broglie-Bohm trajectories/pilot waves. Computer simulations of Bohm's theory predict that (1) trajectories cannot cross, and (2) there is a triangle-shape area behind the double slit, in which there is no trajectory, i.e., no photons. In this article, we report the observations of novel comprehensive double slit experiments, which show that trajectories exist and cross in the triangular area. We show new phenomena that, in 2D cross double slit experiments and which way 2D cross double slit experiments, photons propagate along trajectories in the far field, and behave as particle and distribute as wave. Keywords: double slit experiments, comprehensive double slit experiment, cross double slit experiments, which way double slit experiments, which way cross double slit experiments, de Broglie-Bohm theory, trajectory theory Cite This Article: Hui Peng, "Experimental Study of Bohm's Trajectory Theory-Comprehensive Double Slit Experiments (2).

The frequency of oscillation of the Doppler shifted electromagnetic field expected to accompany a massive composite photon consisting of two oppositely-charged circulating constituent particles is shown to be related to the photon energy in accordance with the Planck-Einstein law E = hν, where h is the Planck constant, apart from a factor of approximately one-half. It is proposed a photon energy-frequency relation E = hν/2 is necessary for consistency with Planck's blackbody spectrum, because the latter is based on quantization of the energy of standing wave modes necessarily lacking momentum, while a photon has nonvanishing momentum. Therefore two photons are required to account for each energy quantum of the Planck spectrum. Some implications of these observations are discussed, including a semiclassical resolution of the spin-orbit coupling anomaly that does not involve the Thomas precession.

- by Sheldon Goldstein
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- Quantum Information, Foundations of Physics, Quantum Theory, Quantum Mechanics

This article continues to develop the charged-photon model of the electron. In particular, the relativistic de Broglie wavelength of a moving electron is derived from the model. De Broglie’s own derivation is also summarized and compared with the present derivation. The quantum wave function of a free electron is derived from the plane wave function of a circulating charged photon. The article suggests that quantum mechanics may be reinterpreted based on considering the quantum wave functions of an atom as being descriptions of charged photons in the atom.

Magnetic interactions between relativistically-moving charges are similar in strength to the electric interaction between static charges. If the electron always moves luminally, as the Dirac theory implies, and so moving gives rise to the intrinsic magnetic moment, then magnetic spin-spin interactions stronger than currently recognized are to be expected. It is proposed that spin-spin interactions as expected according to this line of reasoning can properly account for the formation of atoms, if quarks and leptons are composed of more-fundamental spin-half particles. Spin-spin interaction of suitable strength and character to form atoms occurs only between equal-mass particles with parallel spins, while vanishing on average if the spins are anti-parallel. Electron and quark compositeness allows Coulomb-like spin-spin interactions between equal-mass constituents with parallel spins, for either parallel or anti-parallel quark and electron spins, and modulation of the force due to spin-spin interaction that provides an electrodynamic basis for the de Broglie matter wave. Related analysis based on an assumption of photon compositeness obtains an energy-frequency relationship that is similar to the Planck-Einstein law apart from a factor of about one-half, providing an alternative resolution to the spin-orbit coupling anomaly.

In a previous paper we outlined a series of historical touchpoints between classical aether theories and modern theoretical physics which showed a shared conceptual lineage for the modern tools and methods of the most common interpretations and fluid based "Hydrodynamic" treatments of an electromagnetic medium. It was proposed that, though the weight of modern experimentation leaves an extremely narrow and convoluted window for even a reconceptualization of a medium, all of modern physics recognizes a plethora of behaviors and attributes for free space and these physics are interchangeable with modern methods for treating superfluid-like continuums. Thus the mathematical equivalence of the methods do not comprise alternative physics but an alternative interpretation of the same physics. Though many individual components describing a "neo-aether" or "quintessence" are available, an overarching structural outline of how these tools can work together to provide an alternative working overview of modern physics has remained undefined. This paper will propose a set of introductory concepts in the first outline of a toy model which will later connect the alternative tools and conceptualizations with their modern counterparts. This introductory paper provides the simpler "100-miles out" overview of the whole of physics from this perspective, in an easily comprehensible, familiar and intuitive, informal dialog fashion. While this paper grants the largest and loosest introductory overview, subsequent papers in this series will address the finite connections between modern physics and this hydrodynamic view.

- by Shiva Meucci
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- Plasma Physics, Quantum Physics, Information Theory, Quantum Information

Based on an analysis of the significance of the interaction Hamiltonian, I argue that it is the wave function of a cat, not the particle configuration of a cat, that determines whether the cat is alive or dead. As a result, Schrödinger's... more

- by Shan Gao
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- Quantum Computing, Quantum Physics, Philosophy of Science, Philosophy of Physics
- by Sheldon Goldstein
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- Physics, Quantum Physics, Philosophy, Foundations of Quantum Mechanics

In the framework of Special Relativity and in agreement with the electromagnetic approach used to connect Quantum and Relativistic effects in Bridge Theory, a first order wave-equation able to emulate the wave-particle duality in terms of local electromagnetic interactions is proposed. The equation is able to describe the propagation of a fermion as a de Broglie's wave and simultaneously to characterise the wave in motion with a mass energy as a particle. The solution of the wave-equation proposed is compatible with the de Broglie's idea of an empty pilot wave, carrying information about the dynamical properties of a particle materialising during each local interaction with the observers.

- by Massimo Auci
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- Mathematical Physics, Physics, Quantum Physics, Relativity

In the de Broglie - Bohm formulation of quantum mechanics, the electron is stationary in the ground state of the hydrogen atom, because the quantum force exactly cancels the Coulomb attraction of the electron to the proton. In this paper it is shown that classical electrodynamics similarly predicts the Coulomb force can be effectively canceled by part of the magnetic force that occurs between two similar particles each consisting of a point charge moving with circulatory motion at the speed of light. Supposition of such motion is the basis of the {\em Zitterbewegung} interpretation of quantum mechanics. The magnetic force between two luminally-circulating charges for separation large compared to their circulatory motions contains a radial inverse square law part with magnitude equal to the Coulomb force, sinusoidally modulated by the phase difference between the circulatory motions. When the particles have equal mass and their circulatory motions are aligned but out of phase, part of the magnetic force is equal but opposite the Coulomb force. This raises a possibility that the quantum force of Bohmian mechanics may be attributable to the magnetic force of classical electrodynamics. It is further shown that non-relativistic relative motion between the particles leads to modulation of the magnetic force with spatial period equal to the de Broglie wavelength.

- by David Lush
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- Mathematical Physics, Physics, Theoretical Physics, Quantum Physics

Young’s double slit experiments, which represent the mystery of quantum mechanics, have been interpreted by quantum probability waves and by de Broglie-Bohm trajectories/pilot waves. Computer simulations of Bohm’s theory predict that (1) trajectories cannot cross, and (2) there is a triangle-shape area behind the double slit, in which there is no trajectory, i.e., no photons. In this article, we report the observations of novel comprehensive double slit experiments, which show that trajectories exist and cross in the triangular area. We show new phenomena that, in 2D cross double slit experiments and which way 2D cross double slit experiments, photons propagate along trajectories in the far field, and behave as particle and distribute as wave.

- by Hui Peng
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- Physics, Quantum Physics, de Broglie-Bohm theory, Double Slit Experiment

In this paper, I will provide a brief explanation of the pushing field theory. I will begin by discussing what the pushing field is and how it may be responsible for gravity, inertia, and the propagation of light. Then, I will introduce another phenomenon called the Kronos field and discuss the interactions it has with the pushing field. I will use these two fields to reproduce relativistic effects and explain how why the velocity of light changes in different mediums. Finally, I will provide an explanation for the arrow of time and why time flows forward. Also, a variation of quantum mechanics called the pilot wave theory or Bohmian mechanics will be drawn on to support the idea of a pushing field.

- by Alexander Ehmann
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- de Broglie-Bohm theory

In this paper, proceeding from the recently developed way of deriving the quantum-mechanical equations from the classical ones, the complete system of hydrodynamical equations, including the quantum Euler equation, is derived for a perfect fluid and an imperfect fluid with pairwise interaction between the particles. For the Bose-Einstein condensate of the latter one the Bogolyubov spectrum of elementary excitations is easily reproduced in the acoustic approximation.

- by Maxim Eingorn
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- Mathematical Physics, Physics, Theoretical Physics, Quantum Physics

In the recent literature, it has been shown that the wave function in the de Broglie-Bohm theory can be regarded as a new kind of field, i.e., a "multi-field", in three-dimensional space. In this paper, I argue that the natural framework for the multi-field is the original second-order Bohm's theory. In this context, it is possible: i) to construe the multi-field as a real-valued scalar field; ii) to explain the physical interaction between the multi-field and the Bohmian particles; and iii) to clarify the status of the energy-momentum conservation and the dynamics of the theory.

- by Davide Romano
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- Philosophy of Quantum Mechanics, de Broglie-Bohm theory, Wave Function

Bohmian mechanics is a quantum theory without observers [1,2]. This means that neither the act of observation nor the notion of observer play any role in defining the theory the theory is not about observers and observation and it... more

- by Sheldon Goldstein
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- Physics, Quantum Theory, Bohmian Mechanics, de Broglie-Bohm theory

In this paper the Newton-Schrodinger-Bohm equation is solved for particles with m>M_P. It is shown that the Bohmian pilot wave for particles with m>M_P oscillates with frequency omega=tau^{-1}_P, where tau_P is the Planck time. Key... more

- by Mirosław Kozłowski
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- Physics, Oscillations, de Broglie-Bohm theory

The non-extensibility of quantum theory into an extended theory with improved predictive power is based on a strong assumption of independent free choice, in which the physicists pick a measurement axis independently of anything that couldn't have been caused by their decision. Independent free choice is also at the core of the Nash equilibrium and classical game theory. However, an alternate line of game-theoretical research based on the weaker assumption of contingent free choice, leads to non-trivial solution concepts with desirable properties such as at-most uniqueness, Pareto optimality, as well contextuality. We show how introducing contingent free choice in the foundations of quantum theory yields a class of deterministic, contextual and non-trivial theories with an improved predictive power, and contrast it with the pilot-wave theory. Specifically, we suggest that quantum experiments, such as the EPR experiment, involving measurements across positions in spacetime, can b...

- by Ghislain Fourny
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- Computer Science, Physics, Game Theory, Quantum Theory

The de Broglie wavelength describes wave-particle duality. The de Broglie wavelength formula and the Planck law seem to be contradicted in tunneling. Tunneling fast waves have longer wavelengths than "normal" waves. According to the de Broglie formula, a longer wavelength means smaller momentum (smaller energy). But fast waves have the same amount of energy as normal waves, since they can be transformed into each other. This longer wavelength is not based on the refractive index of the barrier. The barrier in tunneling cannot be seen as an optical medium, rather a special kind of space made out of matter that other matter is able to use as space. Here we show that the 'rest actions', 'rest energies' of fast waves in different spaces can resolve the contradiction. This 'rest action' of the wave is a new concept that hasn't been considered. It is hidden in the Planck constant. In uncovering this part, we find that the Planck constant has two parts...

- by Tamas Lajtner
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- Physics, Tunneling, Tunnelling, Wave particle duality

The non-extensibility of quantum theory into a theory with improved predictive power is based on a strong assumption of independent free choice, in which the physicists pick a measurement axis independently of anything that couldn't have been caused by their decision. Independent free choice is also at the core of the Nash equilibrium and classical game theory. A more recent line of game-theoretical research based on weakening free choice leads to non-trivial solution concepts with desirable properties such as at-most uniqueness, Pareto optimality, and contextuality. We show how introducing contingent free choice in the foundations of quantum theory yields a class of deterministic and contextual theories with an improved predictive power, and contrast them with the pilot-wave theory. Specifically, we suggest that quantum experiments, such as the EPR experiment , involving measurements located in spacetime, can be recast as dynamic games with imperfect information involving human agents and the universe. The underlying idea is that a physicist picking a measurement axis and the universe picking a measurement outcome are two faces of the same physical contingency phenomenon. The classical, Nashian resolution of these games based on independent free choice is analogous to local hidden variable theories, constrained by the Bell inequalities. On the other hand, in a setup in which agents are rational and omniscient in all possible worlds, under contingent free choice, the Perfectly Transparent Equilibrium provides a contextual resolution, based on the iterated elimination of inconsistent worlds, towards an at-most unique possible world, in which the outcomes of measurements that actually are carried out, and only them, are deterministically defined.

- by Ghislain Fourny
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- Game Theory, Quantum Theory, Decision And Game Theory, Decision Theory

De Broglie is a great physicist, who created the fascinating concept of Wave Mechanics. A wave is associated to every particle so that its behaviour cannot be described by classical mechanics. After having joined the interpretation of the Copenhague School, De Broglie parted from Bohr and his fellowers and followed his own way. I was seeking for a new deterministic theory, a hiden variables theory. His epistemological model was Descartes and his geometrical physics.