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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 standard relativistic de-Broglie--Bohm theory has the problems of tacyonic solutions and the incorrect non-relativistic limit. In this paper we obtain a relativistic theory, not decomposing the relativistic wave equations but looking…

Quantum Physics · Physics 2016-09-08 Ali Shojai , Fatimah Shojai

The de~Broglie--Bohm (pilot wave) formulation of quantum theory appears to be free from the conceptual problems specific to quantum mechanics (problem of measurement) and to quantum cosmology (problem of time). We discuss the issue of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Yuri Shtanov

Pilot-wave theories provide possible solutions to the measurement problem. In such theories, quantum systems are not only described by the state vector, but also by some additional variables. These additional variables, also called beables,…

Quantum Physics · Physics 2014-11-18 Ward Struyve

The de Broglie-Bohm interpretation of quantum mechanics and quantum field theory is generalized in such a way that it describes trajectories of relativistic fermionic particles and antiparticles and provides a causal description of the…

Quantum Physics · Physics 2014-11-18 H. Nikolic

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 present a way to construct a pilot-wave model for quantum field theory. The idea is to introduce beables corresponding only to the bosonic degrees of freedom and not to the fermionic degrees of freedom of the quantum state. We illustrate…

Quantum Physics · Physics 2008-12-27 W. Struyve , H. Westman

The de Broglie - Bohm "pilot-wave" theory replaces the paradoxical wave-particle duality of ordinary quantum theory with a more mundane and literal kind of duality: each individual photon or electron comprises a quantum wave (evolving in…

Quantum Physics · Physics 2015-06-11 Travis Norsen

The de Broglie-Bohm pilot wave interpretation of quantum mechanics is shown to provide a consistent explanation for a single relativistic particle (more accurately, a single particle process since pair production is addressed). This is…

Quantum Physics · Physics 2014-01-07 John F. Dodaro

An interpretation of non-relativistic quantum mechanics is presented in the spirit of Erwin Madelung's hydrodynamic formulation of QM and Louis de Broglie's and David Bohm's pilot wave models. The aims of the approach are as follows: 1) to…

General Physics · Physics 2012-11-28 Janne Mikael Karimäki

We reply to claims (by Deutsch, Zeh, Brown and Wallace) that the pilot-wave theory of de Broglie and Bohm is really a many-worlds theory with a superfluous configuration appended to one of the worlds. Assuming that pilot-wave theory does…

Quantum Physics · Physics 2011-01-27 Antony Valentini

In this work celebrating the centenary of quantum mechanics, we review the principles of de Broglie Bohm theory, also known as pilot-wave theory and Bohmian mechanics. We assess the most common reading of it (the Nomological interpretation…

Quantum Physics · Physics 2025-03-19 Aurélien Drezet , Arnaud Amblard

The relativistic effects of the integer-spin quantum field theory imply that the wave functions describing a fixed number of particles do not admit the usual probabilistic interpretation. Among several most popular interpretations of…

Quantum Physics · Physics 2007-05-23 H. Nikolic

Quantum gravity aims to describe gravity in quantum mechanical terms. How exactly this needs to be done remains an open question. Various proposals have been put on the table, such as canonical quantum gravity, loop quantum gravity, string…

General Relativity and Quantum Cosmology · Physics 2019-08-22 Nelson Pinto-Neto , Ward Struyve

The original version of the de Broglie-Bohm pilot-wave theory, also called Bohmian mechanics, attempted to treat the wave function or pilot wave as a part of the physical ontology of nature. More recent versions of the de Broglie-Bohm…

Quantum Physics · Physics 2026-02-12 Jacob A. Barandes

Much attention has been drawn to quantum computing and the exponential speed-up in computation the technology would be able to provide. Various claims have been made about what aspect of quantum mechanics causes this speed-up. Formulations…

Quantum Physics · Physics 2010-12-23 Philipp Roser

The purpose of this paper is to come up with a Pilot Wave model of quantum field theory that incorporates particle creation and annihilation without sacrificing causality. In some sense, this work echoes the work of Nikoli\'c (I call…

General Physics · Physics 2010-05-13 Roman Sverdlov

We present a way to construct a pilot-wave model for quantum electrodynamics. The idea is to introduce beables corresponding only to the bosonic degrees of freedom and not to the fermionic degrees of freedom of the quantum state. We show…

Quantum Physics · Physics 2008-04-09 W. Struyve , H. Westman

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

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
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