# Relativistically invariant extension of the de Broglie–Bohm theory of quantum mechanics

@article{Dewdney2002RelativisticallyIE, title={Relativistically invariant extension of the de Broglie–Bohm theory of quantum mechanics}, author={Chris Dewdney and George Horton}, journal={Journal of Physics A}, year={2002}, volume={35}, pages={10117-10127} }

We show that quantum mechanics can be given a Lorentz-invariant realistic interpretation by applying our recently proposed relativistic extension of the de Broglie–Bohm theory to deduce non-locally correlated, Lorentz-invariant individual particle motions for the Einstein–Podolsky–Rosen experiment and the double-interferometer experiment proposed by Horne, Shimony and Zeilinger.

## 14 Citations

A relativistically covariant version of Bohm's quantum field theory for the scalar field

- Physics
- 2004

We give a relativistically covariant, wave-functional formulation of Bohm's quantum field theory for the scalar field based on a general foliation of spacetime by space-like hypersurfaces. The wave…

Can Bohmian mechanics be made relativistic?

- Physics, MedicineProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2014

It is argued that the possibility that, instead of positing it as extra structure, the required foliation could be covariantly determined by the wave function allows for the formulation of Bohmian theories that seem to qualify as fundamentally Lorentz invariant.

D ec 2 01 3 Can Bohmian mechanics be made relativistic ?

- 2013

In relativistic space-time, Bohmian theories can be formulated by introducing a privileged foliation of space-time. The introduction of such a foliation – as extra absolute space-time structure –…

Boson-Fermion Unification, Superstrings, and Bohmian Mechanics

- Physics
- 2009

Bosonic and fermionic particle currents can be introduced in a more unified way, with the cost of introducing a preferred spacetime foliation. Such a unified treatment of bosons and fermions…

Applied Bohmian mechanics

- Physics
- 2014

Abstract
Bohmian mechanics provides an explanation of quantum phenomena in terms of point-like
particles guided by wave functions. This review focuses on the use of nonrelativistic
Bohmian mechanics…

Why isn't every physicist a Bohmian?

- Physics
- 2004

This note collects, classifies and evaluates common criticism against the de Broglie Bohm theory, including Ockham's razor, asymmetry in the de Broglie Bohm theory, the ``surreal trajectory''…

No-Go Theorems and the Foundations of Quantum Physics

- Philosophy, Physics
- 2018

The aim of this paper is to reinforce Laudisa's methodological point by critically discussing Malament’s theorem in the context of the philosophical foundation of quantum field theory, and to rehabilitate Gisin's theorem showing that Laudica’S concerns do not apply to it.

A Relativistic Hidden-Variable Interpretation for the Massive Vector Field Based on Energy-Momentum Flows

- Physics
- 2010

This paper is motivated by the desire to formulate a relativistically covariant hidden-variable particle trajectory interpretation of the quantum theory of the vector field that is formulated in such…

Relativistic De Broglie matter wave contains SU(n) symmetry

- Physics
- 2018

We show that the relativistic matter waves of two particle system contains the SU(2) symmetry; the relativistic matter waves of three particle system contains the SU(3) symmetry. Therefore, the…

On Relativistic Elements of Reality

- Mathematics, Physics
- 2008

Several arguments have been proposed some years ago, attempting to prove the impossibility of defining Lorentz-invariant elements of reality. I find that a sufficient condition for the existence of…

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