Relativistic EPR-type experiments for photons in the background of reducible representation HOLA algebras

TL;DR

This paper develops a model for relativistic EPR experiments with photons using reducible representation algebras, ensuring maximal correlations across different reference frames and analyzing Lorentz transformations of detectors.

Contribution

Introduces a novel model for Bell states within reducible representation algebras that preserves maximal correlations under relativistic transformations.

Findings

Derived relativistic correlation functions for different detector transformations

Maintains maximal Bell state correlations in all reference frames

Analyzed effects of Lorentz transformations on detector measurements

Abstract

Relativistic EPR-type experiments for photons in the background of reducible representation algebras are discussed. A model for the four Bell states, such that maintains maximally correlated in two bases: linear and circular in all reference frames is developed. Relativistic correlation functions are derived for two cases: when the detectors are transformed under Lorentz transformation in such a way that they still remain in the same reference frame and when just one of the detectors is transformed.