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
Recommended Citation
Dürr, Detlef; Goldstein, Sheldon; Norsen, Travis; Struyve, Ward; and Zaghì, Nino, "Can Bohmian Mechanics Be Made Relativistic?" (2013). Physics: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/phy_facpubs/16
Comments
Peer reviewed accepted manuscript. Publisher version available at http://rspa.royalsocietypublishing.org/content/470/2162/20130699.