Lorentz symmetry breaking effects on relativistic EPR correlations

TL;DR

This paper investigates how Lorentz symmetry breaking influences relativistic EPR correlations by deriving an effective metric, calculating Wigner rotations, and analyzing the effects using the WKB approximation.

Contribution

It introduces a scenario of Lorentz symmetry violation within modified Maxwell theory coupled to gravity and studies its impact on quantum correlations in a relativistic setting.

Findings

Lorentz symmetry breaking modifies the effective spacetime metric.

The Wigner rotation angle is affected by Lorentz violation.

Relativistic EPR correlations are influenced by the Lorentz symmetry breaking effects.

Abstract

Lorentz symmetry breaking effects on relativistic EPR (Einstein-Podolsky-Rosen) correlations are discussed. From the modified Maxwell theory coupled to gravity, we establish a possible scenario of the Lorentz symmetry violation and write an effective metric for the Minkowski spacetime. Then, we obtain the Wigner rotation angle via the Fermi-Walker transport of spinors and consider the WKB ((Wentzel-Kramers-Brillouin) approximation in order to study the influence of Lorentz symmetry breaking effects on the relativistic EPR correlations.