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We propose an interpretative framework for quantum mechanics corresponding to the specifications of Louis de Broglie's double-solution theory. The principle is to decompose the evolution of a quantum system into two wave functions: an…

Quantum Physics · Physics 2020-01-15 Michel Gondran , Alexandre Gondran

Since de Broglie's pilot wave theory was revived by David Bohm in the 1950's, the overwhelming majority of researchers involved in the field have focused on what is nowadays called de Broglie-Bohm dynamics and de Broglie's original double…

Quantum Physics · Physics 2017-03-21 Samuel Colin , Thomas Durt , Ralph Willox

Schroedinger's equation gave early quantum theory a visual language that looked like physics again: a wave evolving by a linear differential equation. This essay argues that the same success also seeded a recurring impulse to keep quantum…

Quantum Physics · Physics 2026-05-05 Caslav Brukner

Einstein, Podolski and Rosen (EPR) have shown that any wave function (subject to the Schr\"odinger equation) can describe the physical reality completely, and any two observables associated to two non-commuting operators can have…

Quantum Physics · Physics 2014-05-20 Andrew Das Arulsamy

The purpose of this paper is to present an overview of recent work on pilot-wave approaches to quantum field theory. In such approaches, systems are not only described by their wave function, as in standard quantum theory, but also by some…

Quantum Physics · Physics 2011-07-18 Ward Struyve

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

Several new physics experiments in 1998 were performed and analyzed to show the subtlety of quantum theory, including the "wave-particle duality" and the non-separability of two-particle entangled state. Here it is shown that the…

Quantum Physics · Physics 2007-05-23 Guang-jiong Ni

Bohmian mechanics, also known as pilot-wave theory or de Broglie-Bohm theory, is a formulation of quantum mechanics whose fundamental axioms are not about what observers will see if they perform an experiment but about what happens in…

Quantum Physics · Physics 2021-10-15 Roderich Tumulka

The Schrodinger equation based on the de Broglie wave is the most fundamental equation of the quantum mechanics. There can be no doubt about it's prediction validity. However, the probabilistic interpretation on the quantum mechanics has…

General Physics · Physics 2007-05-23 Shin-ichi Inage

The physical states of matter and fields are represented in the quantum theory with complex valued wavefunctions, or more generally by quantum states in an abstract linear vector space. Determining the physical nature of wavefunctions…

Quantum Physics · Physics 2025-06-12 C. S. Unnikrishnan

Valentini [arXiv:0811.0810] has recently defended the de Broglie-Bohm pilot-wave version of quantum theory from the claim that it is essentially Everett theory encumbered with the redundant postulation of point particles. In this note,…

Quantum Physics · Physics 2009-01-12 Harvey R. Brown

The meaning of the wave function has been a hot topic of debate since the early days of quantum mechanics. Recent years have witnessed a growing interest in this long-standing question. Is the wave function ontic, directly representing a…

Quantum Physics · Physics 2016-11-10 Shan Gao

Schroedinger's wave function shows many aspects of a state of incomplete knowledge or information ("bit"): (1) it is usually defined on a space of classical configurations, (2) its generic entanglement is, therefore, analogous to…

Quantum Physics · Physics 2007-05-23 H. D. Zeh

The ontology of Bohmian mechanics includes both the universal wave function (living in 3N-dimensional configuration space) and particles (living in ordinary 3-dimensional physical space). Proposals for understanding the physical…

Quantum Physics · Physics 2014-10-15 Travis Norsen , Damiano Marian , Xavier Oriols

Bohmian mechanics supplements the quantum wavefunction with deterministic particle trajectories, offering an alternate, dynamical language for quantum theory. However, the Bohmian particle does not affect its guiding wave, so the wave field…

Quantum Physics · Physics 2024-08-13 David Darrow

We propose that the Schrodinger equation results from applying the classical wave equation to describe the physical system in which subatomic particles play random motion, thereby leading to quantum mechanics. The physical reality described…

General Physics · Physics 2022-04-18 Xue-Shu Zhao , Yu-Ru Ge , Xin Zhao , Hong Zhao

Since the discovery of quantum mechanics, the fact that the wavefunction is defined on the $3\mathbf{n}$-dimensional configuration space rather than on the $3$-dimensional space has seemed uncanny to many, including Schr\"odinger, Lorentz,…

Quantum Physics · Physics 2024-10-17 Ovidiu Cristinel Stoica

The alternative pilot-wave theory of quantum phenomena -- associated especially with Louis de Broglie, David Bohm, and John Bell -- reproduces the statistical predictions of ordinary quantum mechanics, but without recourse to special…

Quantum Physics · Physics 2015-06-15 Travis Norsen

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

In order to celebrate this double birthday the journal Foundations of Physics publishes a topical collection `Pilot-wave and beyond' on the developments that have followed the pioneering works of Louis de Broglie and David Bohm on quantum…

Quantum Physics · Physics 2023-07-05 Aurélien Drezet