Document Type

Article

Publication Date

12-11-2013

Publication Title

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Abstract

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 – would seem to imply a clear violation of Lorentz invariance, and thus a conflict with fundamental relativity. Here, we consider the possibility that, instead of positing it as extra structure, the required foliation could be covariantly determined by the wave function. We argue that this allows for the formulation of Bohmian theories that seem to qualify as fundamentally Lorentz invariant. We conclude with some discussion of whether or not they might also qualify as fundamentally relativistic.

Keywords

Bohmian mechanics, Lorentz invariance, relativity, quantum foundations

Volume

470

Issue

2162

First Page

20130699

DOI

http://dx.doi.org/10.1098/rspa.2013.0699

ISSN

1471-2946

Comments

Peer reviewed post-print. Publisher version available at http://rspa.royalsocietypublishing.org/content/470/2162/20130699.

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