Wave-Particle Duality in Einstein-de Broglie Programs

Elbaz, C

doi:10.4236/jmp.2014.518213

Cited by 7 publications

(7 citation statements)

References 16 publications

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“…We restrict to summarize some equations deduced from Einstein's program, previously published, (Elbaz, 2010(Elbaz, , 2012(Elbaz, , 2013(Elbaz, , 2014, in order to show how they are related to main equations of classical and quantum mechanics, otherwise widely documented.…”

Section: The Einstein's Programmentioning

confidence: 99%

“…These relations apply to progressive waves for =1, to standing waves at rest for =0 and in motion for 1, to monochromatic waves for  and k constant, to almost monochromatic waves for varying (x, t) and K(x,t). They lead to dynamical properties for energy-momentum conservation, and to least action, principles, for standing fields and for almost standing fields ( Elbaz, 1984( Elbaz, , 2010( Elbaz, , 2014.…”

Section: Dynamical Properties Of Standing Fieldsmentioning

confidence: 99%

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Incompleteness of Standard Model regarding Einstein’s Program

Elbaz¹

2018

SET

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The Standard Model of Particles gathers almost the whole present knowledge in theoretical physics, in a consistent system. It describes the universe as constituted fundamentally of particles, both for matter and for interactions. It is incomplete since it does not include gravitation with the three other interactions, and leans upon elementary particles such as electrons or quarks, which are considered as point-like with no known internal structure. The Einstein’s program offers means to circumvent these difficulties. It is founded upon a scalar field e (r0,t0) propagating at speed of light c, as a consistent system for universe description. Standing waves correspond to matter, which kinematical and dynamical properties are formally identical. Their space-like amplitude function u0(k0r0), supplements usual fundamental time-like equations of classical and quantum mechanics. In geometrical optics approximation conditions, when frequencies are infinitely high, and then hidden, u0(k0r0) yields Dirac’s distribution δ(r0), describing a particle as a singularity. The scalar field e(r0,t0) brings theoretical economy by yielding also the energy-momentum conservation laws, and the least action law, with determination of the Lagrangian.The frequency variations of the field e (r0,t0) are linked to electromagnetic interaction, constituted by progressive waves. Quantum domain corresponds to wave optics approximation conditions, with wave-particle duality. Adiabatic variations of frequencies, give rise to introduction of an adiabatic constant, formally identical with Planck's constant, with unification of first quantification for interactions and second quantification for matter. Local variations of speed of light yield gravitation interaction and General Relativity framework.

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Section: The Einstein's Programmentioning

confidence: 99%

Section: Dynamical Properties Of Standing Fieldsmentioning

confidence: 99%

Incompleteness of Standard Model regarding Einstein’s Program

Elbaz¹

2018

SET

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“…Instead of admitting a constant frequency  of elementary waves propagating all over space-time as given data, we rather consider that it represents the mean value, all over the field, of different slowly varying frequencies Ω(x,t). In other words, the modulation waves with perturbation frequencies δΩ(x,t), propagating at light velocity, behave as interactions between main waves, leading their mean frequency  to remain practically constant, all over the space-time (Elbaz, 2014(Elbaz, ,2015.…”

Section: Standing Field Dynamicsmentioning

confidence: 99%

On Einstein’s Program and Quantum Double Slit Experiment

Elbaz¹

2016

SET

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The Einstein’s program enables a theoretical economy for quantum double slit experiment, in its wave-particle duality behavior, with the unification of first and second quantifications for light and matter. It introduces a space-like amplitude function u(r,t), which completes the usual time-like functions ψ(r,t) of quantum mechanics and quantum fields. The Einstein’s program is founded upon a scalar field propagating at speed of light c. It forms a common relativist framework, for classical and quantum properties of matter and interactions. Matter properties derive from standing waves, and interactions from progressive waves. The classical domain arises in the geometrical optics approximation, when frequencies are infinitely high, and then hidden. The quantum domain corresponds to wave optics approximation. Adiabatic variations of frequencies yield electromagnetic interaction and dynamical laws of energy-momentum conservation and least action principle.

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“…Particles have both particle-like and wave-like properties, where quantum phenomenon arises due to their physical structure [1][2][3]. Under the following Postulates we obtain a novel structure of the quantum properties which reinterpret the origin of quantum phenomenon.…”

Section: Introductionmentioning

confidence: 99%

The Influence of Particle Interactions on the Existence of Quantum Particles Properties

Shushi¹

2015

JPSA

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Abstract:We propose a novel model, based on two postulates, which provide new perspective on the fundamental forces using special and general relativity concepts. Many studies address the relations between the particles and the space time manifold, and the latter's physical structure, whether it is Continuous or Discrete. In the proposed model the properties of the particles are classical in the sense of general relativity, whereas their quantum properties are arises due to the experiments.

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Wave-Particle Duality in Einstein-de Broglie Programs

Cited by 7 publications

References 16 publications

Incompleteness of Standard Model regarding Einstein’s Program

Incompleteness of Standard Model regarding Einstein’s Program

On Einstein’s Program and Quantum Double Slit Experiment

The Influence of Particle Interactions on the Existence of Quantum Particles Properties

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