EPR-Bell Nonlocality, Lorentz Invariance, and Bohmian Quantum Theory

Details EPR-Bell Nonlocality, Lorentz Invariance, and Bohmian Quantum Theory EPR-Bell Nonlocality, Lorentz Invariance, and Bohmian Quantum Theory

1995-10-26

arxiv.org/abs/quant-ph/9510027v1

Phys.Rev.A53:2062-2073,1996

Physics

Quantum Physics

24 pages, LaTex, 4 figures

Scientific paper

10.1103/PhysRevA.53.2062

We discuss the problem of finding a Lorentz invariant extension of Bohmian mechanics. Due to the nonlocality of the theory there is (for systems of more than one particle) no obvious way to achieve such an extension. We present a model invariant under a certain limit of Lorentz transformations, a limit retaining the characteristic feature of relativity, the non-existence of absolute time resp. simultaneity. The analysis of this model exemplifies an important property of any Bohmian quantum theory: the quantum equilibrium distribution $\rho = |\psi |^2$ cannot simultaneously be realized in all Lorentz frames of reference.

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