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A de Broglie-Bohm like model of Dirac equation, that leads to the correct Pauli equations for electrons and positrons in the low-speed limit, is presented. Under this theoretical framework, that affords an interpretation of the quantum…

Quantum Physics · Physics 2009-11-10 O. Chavoya-Aceves

In this paper we prove, by expressing the energy as a function of the wave propagation speed, it is highlighted the existence of an equivalent mass of the wave, as well as of an Einstein type relations between the energy and this mass.…

General Physics · Physics 2016-10-19 Ion Simaciu , Zoltan Borsos , Gheorghe Dumitrescu , Anca Baciu

This talk presents: (a) A quantum-mechanically induced violation of the principle of equivalence, and (b) Gravitationally-induced modification to the wave particle duality. In this context I note that the agreement between the predictions…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. V. Ahluwalia

The action reaction principle is violated by the projection of state in some simple quantum measurements. A formulation of Quantum Mechanics in an extended phase space is proposed in order to restore the action reaction principle. All…

Quantum Physics · Physics 2015-07-29 C. Lopez

In this paper, we demonstrate novel relationships between quantum mechanics and the electromagnetic wave equation. In our approach, an invariant interference-dependent electromagnetic quantity, which we call "quantum rest mass", replaces…

Quantum Physics · Physics 2021-02-10 Ankit Pandey , Bill Poirier , Luis Grave-de-Peralta

The theoretical foundations of quantum mechanics and de Broglie-Bohm mechanics are analyzed and it is shown that both theories employ a formal approach to microphysics. By using a realistic approach it can be established that the internal…

Quantum Physics · Physics 2007-05-23 W. A. Hofer

Interference of more and more massive objects provides a spectacular confirmation of quantum theory. It is usually regarded as support for "wave-particle duality" and in an extension of this duality even as support for "complementarity". We…

Quantum Physics · Physics 2022-03-17 Lukas Mairhofer , Oliver Passon

We start to develop the quantization formalism in a hyperbolic Hilbert space. Generalizing Born's probability interpretation, we found that unitary transformations in such a Hilbert space represent a new class of transformations of…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov

The de Broglie-Bohm theory is about non-relativistic point-particles that move deterministically along trajectories. The theory reproduces the predictions of standard quantum theory, given that the distribution of particles over an ensemble…

Quantum Physics · Physics 2010-04-19 Samuel Colin , Ward Struyve

The wave-particle duality has been said to contain the entire mystery of quantum mechanics. Many delayed-choice experiments have been performed to further understand the wave-particle duality. Here, we reveal some flaws in the known…

General Physics · Physics 2017-11-13 Shan-Liang Liu

Optimal simultaneous control of position and momentum can be achieved by maximizing the probabilities of finding their experimentally observed values within two well-defined intervals. The assumption that particles move along straight lines…

Quantum Physics · Physics 2017-09-06 Holger F. Hofmann

Compton scattering is usually explained in terms of the relativistic mass and momentum. Here, a mathematically equivalent and simple non-relativistic interpretation shows that the Compton frequency shift is equal to the de Broglie frequency…

General Physics · Physics 2007-05-23 Raji Heyrovska

We present a unified field theory of wave and particle in quantum mechanics. This emerges from an investigation of three weaknesses in the de Broglie-Bohm (deBB) theory: its reliance on the quantum probability formula to justify the…

Quantum Physics · Physics 2020-03-17 Peter Holland

Superposition demands that a linear combination of solutions to an electromagnetic problem also be a solution. This paper analyzes some very simple problems: the constructive and destructive interferences of short impulse voltage and…

Classical Physics · Physics 2014-07-08 Hans G. Schantz

A reconciliation of gravitation and electromagnetism has eluded physics for neearly a century. It is argued here that this is because both quantum physics and classical physics are set in differentiable space time manifolds with point…

General Physics · Physics 2007-05-23 B. G. Sidharth

In the extension of the de-Broglie-Bohm causal quantum theory of motion to the relativistic particles, one faces with serious problems, like the problem of superluminal motion. This forces many authors to believe that there is not any…

Quantum Physics · Physics 2007-05-23 Ali Shojai , Mehdi Golshani

The electromagnetic component waves, comprising together with their generating oscillatory massless charge a material particle, will be Doppler shifted when the charge hence particle is in motion, with a velocity $v$, as a mere mechanical…

General Physics · Physics 2007-05-23 J X Zheng-Johansson , P-I Johansson

We generalize the formerly proposed relationship between a special complex geometry (originating from the structure of biquaternion algebra) and induced real geometry of (extended) space-time. The primordial dynamics in complex space allows…

General Physics · Physics 2011-05-17 Vladimir V. Kassandrov

The standard quantum theory has not taken into account the size of quantum particles, the latter being implicitly treated as material points. The recent interference experiments of Zeilinger [3] with large molecules like fullerenes and the…

Quantum Physics · Physics 2007-05-23 Michel Gondran , Alexandre Gondran

Quantum interference takes center stage in the realm of quantum particles, playing a crucial role in revealing their wave-like nature and probabilistic behavior. It relies on the concept of superposition, where the probability amplitudes of…

Quantum Physics · Physics 2025-07-15 Sajad Ahmadi , Mohsen Akbari , Shahpoor Saeidian , Ali Motazedifard