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In this thesis we study the de Broglie-Bohm pilot-wave interpretation of quantum theory. We consider the domain of non-relativistic quantum theory, relativistic quantum theory and quantum field theory, and in each domain we consider the…

Quantum Physics · Physics 2007-05-23 W. Struyve

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

We formulate Bohmian mechanics (BM) such that the main objects of concern are macroscopic phenomena, while microscopic particle trajectories only play an auxiliary role. Such a formulation makes it easy to understand why BM always makes the…

Quantum Physics · Physics 2020-03-12 H. Nikolic

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

Using both the Born-Oppenheimer idea and the de Broglie-Bohm interpretation of wavefunction we represent in a different way the semiclassical quantum gravity from the Wheeler-DeWitt equation in an oscillating regime which can preserve…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Sang Pyo Kim

Eighty years after de Broglie's, and a little more than half a century after Bohm's seminal papers, the de Broglie--Bohm theory (a.k.a. Bohmian mechanics), which is presumably the simplest theory which explains the orthodox quantum…

History and Philosophy of Physics · Physics 2015-05-13 Michael K. -H. Kiessling

The Bohm-de Broglie interpretation of quantum mechanics is applied to canonical quantum cosmology. It is shown that, irrespective of any regularization or choice of factor ordering of the Wheeler-DeWitt equation, the unique relevant quantum…

General Relativity and Quantum Cosmology · Physics 2016-08-25 N. Pinto-Neto , E. Sergio Santini

Following de Broglie and Vigier, a fully relativistic causal interpretation of quantum mechanics is given within the context of a geometric theory of gravitation and electromagnetism. While the geometric model shares the essential…

General Relativity and Quantum Cosmology · Physics 2007-05-23 W. R. Wood , G. Papini

Bohmian mechanics is a nonlocal hidden-variable interpretation of quantum theory which predicts that particles follow deterministic trajectories in spacetime. Historically, the study of Bohmian trajectories has mainly been restricted to…

Quantum Physics · Physics 2022-07-19 Joshua Foo , Estelle Asmodelle , Austin P. Lund , Timothy C. Ralph

This is a philosophy-intense physics article, or, if you wish, a physics-intense philosophy article. Also, being a mathematician, I tend to view the physics, in particular the essence of quantum physics, in emphasizing the mathematical…

History and Overview · Mathematics 2012-08-24 Eliahu Levy

It is shown that any theory that has certain properties has a measurement problem, in the sense that it makes predictions that are incompatible with measurement outcomes being absolute (that is, unique and non-relational). These properties…

Quantum Physics · Physics 2023-03-07 Nick Ormrod , V. Vilasini , Jonathan Barrett

In this note we will first argue that there is evidence in supporting the view that de Broglie waves have a gravitational origin. In view of the extreme weakness of the gravitational field, however, this seems to be an unlikely proposition.…

General Physics · Physics 2007-05-23 M. R. Mahdavi

Prompted by misconceptions in the recent literature, we review the justifications for naturalness arguments and Occam's razor found in Bayesian statistics. We discuss the automatic Occam's razor that emerges in Bayesian formalism, bringing…

History and Philosophy of Physics · Physics 2026-04-22 Andrew Fowlie

Since its inception Bohmian mechanics has been generally regarded as a hidden-variable theory aimed at providing an objective description of quantum phenomena. To date, this rather narrow conception of Bohm's proposal has caused it more…

Quantum Physics · Physics 2018-10-05 A. S. Sanz

The de Broglie-Bohm pilot-wave theory asserts that a complete characterization of an $N$-particle system is given by its wave function together with the (at-all-times-defined) positions of the particles, with the wave function always…

Quantum Physics · Physics 2025-08-12 J. Manero , R. Muciño , E. Okon

Ladyman and Ross (LR) argue that quantum objects are not individuals (or are at most weakly discernible individuals) and use this idea to ground their metaphysical view, ontic structural realism, according to which relational structures are…

Quantum Physics · Physics 2014-12-01 P. Pylkkänen , B. J. Hiley , I. Pättiniemi

The reality of Bohm's intellectual journey is very different from what is often claimed by the proponents of "Bohmian Mechanics" and others as we will explain in this paper. He did not believe a mechanical explanation of quantum phenomena…

Quantum Physics · Physics 2013-03-26 B. J. Hiley

With reference to primary sources it is shown that key claims made regarding the history of the pilot wave theory in Quantum Theory at the Crossroads are not supported by the historical record. It is also argued that the association of de…

History and Philosophy of Physics · Physics 2015-06-22 Peter Holland

The Bohmian interpretation of quantum mechanics adds particle trajectories to the wave function and ensures that the probability distribution of the particle positions agrees with quantum mechanics at any time. This is not sufficient to…

Quantum Physics · Physics 2009-03-24 Michael Zirpel

Pilot wave theory endows particles with definite positions at all times governed by deterministic dynamics. However, individual particle trajectories are generically undetectable by experiment. This idea might seem to be contested in light…

Quantum Physics · Physics 2025-07-08 Johannes Fankhauser