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The formulation of quantum mechanics developed by Bohm, which can generate well-defined trajectories for the underlying particles in the theory, can equally well be applied to relativistic Quantum Field Theories to generate dynamics for the…

Quantum Physics · Physics 2018-03-14 Jeroen C. Vink

This article will review quantum particle creation in expanding universes. The emphasis will be on the basic physical principles and on selected applications to cosmological models. The needed formalism of quantum field theory in curved…

General Relativity and Quantum Cosmology · Physics 2021-12-07 L. H. Ford

A brief account of the world view of classical physics is given first. We then recapitulate as to why the Copenhagen interpretation of the quantum mechanics had to renounce most of the attractive features of the clasical world view such as…

Quantum Physics · Physics 2008-05-16 Virendra Singh

We show how pilot-wave theory points to new physics, beyond quantum mechanics, in three distinct ways. First, generalised cosmological initial conditions, departing from the Born rule, can lead to observable anomalies in the cosmic…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Antony Valentini

The possibility of a quantum system to exhibit properties that are akin to both the classically held notions of being a particle and a wave, is one of the most intriguing aspects of the quantum description of nature. These aspects have been…

Quantum Physics · Physics 2025-01-23 Sreetama Das , Indranil Chakrabarty , Arun Kumar Pati , Aditi Sen De , Ujjwal Sen

We study the de Broglie-Bohm interpretation of bosonic relativistic quantum mechanics and argue that the negative densities and superluminal velocities that appear in this interpretation do not lead to inconsistencies. After that, we study…

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

In the pilot-wave theory of quantum mechanics particles have definite positions and velocities and the system evolves deterministically. The velocity of a particle is determined by the wave function of the system (the guidance equation) and…

Quantum Physics · Physics 2021-02-03 Dan N. Vollick

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

Starting with the Hamiltonian formulation for spacetimes with two commuting spacelike Killing vectors, we construct a midisuperspace model for linearly polarized plane waves in vacuum gravity. This model has no constraints and its degrees…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Guillermo A. Mena Marugan , Manuel Montejo

In a cosmological setting, particle production is ubiquitous. It may occur as a consequence of the expansion of the background or because a field couples to other degrees of freedom that evolve with time. The process is well understood in…

High Energy Physics - Theory · Physics 2025-02-25 Evgueni Alexeev , Raphael Flauger

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

It is shown how, starting with the de Broglie - Bohm pilot-wave theory, one can construct a new theory of the sort envisioned by several of QM's founders: a Theory of Exclusively Local Beables (TELB). In particular, the usual quantum…

Quantum Physics · Physics 2015-05-14 Travis Norsen

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

We consider a way of defining quantum Hamiltonians involving particle creation and annihilation based on an interior-boundary condition (IBC) on the wave function, where the wave function is the particle-position representation of a vector…

Mathematical Physics · Physics 2019-08-01 Julian Schmidt , Jonas Lampart , Stefan Teufel , Roderich Tumulka

A general formulation of classical relativistic particle mechanics is presented, with an emphasis on the fact that superluminal velocities and nonlocal interactions are compatible with relativity. Then a manifestly relativistic-covariant…

High Energy Physics - Theory · Physics 2019-11-19 H. Nikolic

Despite its name, Quantum Field Theory (QFT) has been built to describe interactions between localizable particles. For this reason the actual formalism of QFT is partly based on a suitable generalization of the one already used for systems…

General Physics · Physics 2009-07-02 Eliano Pessa

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

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

This is a brief reply to Goldstein's article on ``Quantum Theory Without Observers'' in Physics Today. It is pointed out that Bohm's pilot wave theory is successful only because it keeps Schr\"odinger's (exact) wave mechanics unchanged,…

Quantum Physics · Physics 2015-06-26 H. D. Zeh

We show that the Bohmian approach in terms of persisting particles that move on continuous trajectories following a deterministic law can be literally applied to QFT. By means of the Dirac sea model -- exemplified in the electron sector of…

History and Philosophy of Physics · Physics 2016-08-23 Dirk-Andre Deckert , Michael Esfeld , Andrea Oldofredi