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According to Schroedinger's ideas, classical dynamics of point particles should correspond to the " geometrical optics " limit of a linear wave equation, in the same way as ray optics is the limit of wave optics. It is shown that, using…

General Relativity and Quantum Cosmology · Physics 2007-11-19 Mayeul Arminjon

In this article we discuss the problem of finding an interpretation of quantum mechanics which provides an objective account of physical reality. In the first place we discuss the problem of interpretation and analyze the importance of such…

Quantum Physics · Physics 2007-11-30 Christian de Ronde

So-called hidden variables introduced in quantum mechanics by de Broglie and Bohm have changed their initial enigmatic meanings and acquired quite reasonable outlines of real and measurable characteristics. The start viewpoint was the…

Quantum Physics · Physics 2007-05-23 Volodymyr Krasnoholovets

We provide an overview of the de Broglie-Bohm pilot-wave formulation of quantum mechanics, emphasising its applications to field theory, high-energy physics, gravitation, and cosmology.

Quantum Physics · Physics 2026-04-14 Antony Valentini

We set up the classical wave equation for a particle formed of an oscillatory zero-rest-mass charge together with its resulting electromagnetic waves, traveling in a potential field $V$ in a susceptible vacuum. The waves are…

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

Now that we have reached the centennial of Erwin Schrodinger's seminal paper introducing the wavefunction theory of matter, it is right and proper to inquire as to its legacy. It is undeniable that today every paper in atomic physics cites…

General Physics · Physics 2026-02-11 W. David Wick

There is a widespread belief that the classical small inhomogeneities which gave rise to all structures in the Universe through gravitational instability originated from primordial quantum cosmological fluctuations. However, this transition…

General Relativity and Quantum Cosmology · Physics 2012-04-06 Nelson Pinto-Neto , Grasiele Santos , Ward Struyve

The wave-particle duality is a mind-body one. In the real 3d-space there exists only the particle; the wave exists in its consciousness, as well as the reflection of the whole world. If there are many particles, their distribution in…

General Physics · Physics 2007-05-23 Raoul Nakhmanson

We review the de Broglie-Bohm quantum theory. It is an alternative description of quantum phenomena in accordance with all the quantum experiments already performed. Essentially, it is a dynamical theory about objectively real trajectories…

General Relativity and Quantum Cosmology · Physics 2021-11-05 Nelson Pinto-Neto

Einstein's 1905 analysis of the Brownian Motion of a pollen grain in a water droplet as due to statistical variations in the collisions of water molecules with the grain, followed up by Perrin's experiments, provided one of the most…

Quantum Physics · Physics 2023-05-23 W. David Wick

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

It is suggested that a moving canonical particle interacts with a vacuum regarded as a "soft" cellular space. The interaction results into the emergence of elementary excitations of space - inertons - surrounding the particle. It is assumed…

Quantum Physics · Physics 2007-05-23 Volodymyr Krasnoholovets

The Bridge Theory that is based on the role that the transversal component of the Pointing vector has in the localisation in the neighbourhood of a dipole of an amount of energy and momentum equal to ones of a photon of same frequency, if…

General Physics · Physics 2012-01-24 Massimo Auci

Attempts for a geometrical interpretation of Quantum Theory were made, notably the deBroglie-Bohm formulation. This was further refined by Santamato who invoked Weyl's geometry. However these attempts left a number of unanswered questions.…

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

The nature of quantum waves, whether they are real physical waves or, on the contrary, mere probability waves, has been a very controversial theme since the beginning of quantum theory. Here we present some possible experiments that may…

General Physics · Physics 2022-12-27 J. R. Croca , P. Castro , M. Gatta , R. N. Moreira

The time-independent Schroedinger and Klein-Gordon equations - as well as any other Helmholtz-like equation - were recently shown to be associated with exact sets of ray-trajectories (coupled by a "Wave Potential" function encoded in their…

Quantum Physics · Physics 2015-01-14 Adriano Orefice , Raffaele Giovanelli , Domenico Ditto

It is known from quantum mechanics that particles are associated with wave functions, and that the probability of observing a particle at some future location is proportional to the squared modulus of the amplitude of its wave function.…

History and Philosophy of Physics · Physics 2022-10-11 Stuart Heinrich

A century after the discovery of quantum mechanics, the meaning of quantum mechanics still remains elusive. This is largely due to the puzzling nature of the wave function, the central object in quantum mechanics. If we are realists about…

Quantum Physics · Physics 2021-10-25 Eddy Keming Chen

Although quantum mechanics is one of our most successful physical theories, there has been a long-standing debate about the interpretation of the wave function---the central object of the theory. Two prominent views are that (i) it…

Quantum Physics · Physics 2012-04-16 Roger Colbeck , Renato Renner

Recent experiments on walking droplets suggest an underlying connection between fluid dynamics and the quantum mechanics. Such experiments may be used to support the de Broglie-Bohm pilot-wave theory. In this paper we show that many…

Pattern Formation and Solitons · Physics 2017-11-06 M. Akbari-Moghanjoughi