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A physically real wave associated with any moving particle and travelling in a surrounding material medium was introduced by Louis de Broglie in a series of short notes in 1923 and in a more complete form in his thesis defended in Paris on…

Quantum Physics · Physics 2009-09-25 Andrei P. Kirilyuk

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

Matter waves were discovered in the early 20th century from their wavelength, predicted by DeBroglie, Planck's constant divided by the particle's momentum, that is, lmw = h/mv. But, the failure to obtain a reasonable theory for the matter…

General Physics · Physics 2007-05-23 Roger Ellman

Wave-particle duality is one of the fundamental properties of matter and at the same time, one of the mysteries of modern physics. In this paper, we propose and analyze a new interpretation of the wave-particle duality, and propose a new…

Quantum Physics · Physics 2015-06-15 S. A. Rashkovskiy

In view of the remarkable progress in micro-rheology to monitor the random motion of Brownian particles with size as small as few nanometers, in association that de Broglie matter waves have been experimentally observed for large molecules…

Quantum Physics · Physics 2025-11-18 Nicos Makris

The concept of walking wave is introduced from classical relativistic positions. One- and three-dimensional walking waves considered with their wave equations and dispersion equations. It is shown that wave characteristics (de Broglie's and…

General Physics · Physics 2012-05-03 A. V. Goryunov

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

Nonrelativistic quantum mechanics is commonly formulated in terms of wavefunctions (probability amplitudes) obeying the static and the time-dependent Schroedinger equations (SE). Despite the success of this representation of the quantum…

Quantum Physics · Physics 2017-08-15 Ivano Tavernelli

Wave-particle duality, together with the concept of elementary particles, was introduced by de Broglie in terms of intrinsically "periodic phenomena". However, after nearly 90 years, the physical origin of such undulatory mechanics remains…

Quantum Physics · Physics 2013-06-13 Donatello Dolce

In a recent paper a mathematical model for quantum measurement was presented. The phenomenon of wave particle duality, which is introduced in every beginning course of quantum theory, can be explained using this model. Although it is a…

Quantum Physics · Physics 2013-09-27 Jerome Blackman

We show that the relativistic matter waves of two particle system contains the SU(2) symmetry; the relativistic matter waves of three particle system contains the SU(3) symmetry. Therefore, the relativistic matter wave is suitable for…

General Physics · Physics 2018-06-07 Huaiyang Cui

In this paper a one to one correspondence is established between space-time metrics of general relativity and the wave equations of quantum mechanics. This is done by first taking the square root of the metric associated with a space and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Paul O'Hara

A system of two interacting protofields with generic parameters is unstable with respect to unceasing cycles of nonlinear squeeze (reduction) to randomly chosen centres and reverse extension which form the causally probabilistic process of…

Quantum Physics · Physics 2007-05-23 Andrei P. Kirilyuk

It is argued that the de Broglie wave is not the wave usually supposed, but the relativistically induced modulation of an underlying carrier wave that moves with the velocity of the particle. In the rest frame of the particle this…

History and Philosophy of Physics · Physics 2015-08-11 Daniel Shanahan

The relation between de Broglie's double-solution approach to quantum dynamics and the hydrodynamic pilot-wave system has motivated a number of recent revisitations and extensions of de Broglie's theory. Building upon these recent…

Quantum Physics · Physics 2024-08-14 David Darrow , John W. M. Bush

Wave-particle duality is often considered as the modern answer to the problem of the nature of light after more than 2000 years of questioning. It is also the answer given by quantum physics concerning the nature of matter particles and any…

Until recently, wave-particle duality has been thought of as quantum principle without a counterpart in classical physics. This belief was challenged after (i) finding that average dynamics of a classical particle in strong inhomogeneous…

Quantum Physics · Physics 2015-06-03 Alexander Y. Davydov

One of the most puzzling consequences of interpreting quantum mechanics in terms of concepts borrowed from classical physics, is the so-called wave-particle duality. Usually, wave-particle duality is illustrated in terms of complementarity…

Quantum Physics · Physics 2023-10-18 Andrea Aiello

A gravitationally-induced modification to de Broglie wave-particle duality is presented. At Planck scale, the gravitationally-modified matter wavelength saturates to a few times the Planck length in a momentum independent manner. In certain…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. V. Ahluwalia

Under a Lorentz-transformation, Mie's 1912 gravitational mass behaves identical as de Broglie's 1923 clock-like frequency. The same goes for Mie's inertial mass and de Broglie's wave-like frequency. This allows the interpretation of de…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. P. J. de Haas
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