Violation of Rotational Invariance of Local Realistic Models with Two Settings

TL;DR

This paper demonstrates that local realistic models based on two-setting Bell experiments cannot be rotationally invariant, challenging assumptions about symmetry in local realistic theories.

Contribution

It shows that a local realistic model consistent with two-setting Bell experiments cannot maintain rotational invariance, providing new insights into the limitations of such models.

Findings

Generalized Bell inequality disproves rotationally invariant local realistic models

Two-setting Bell experiment models are not rotationally invariant

Rotational invariance must be considered in local realistic theories

Abstract

We have considered a two-particle Bell experiment to visualize the conflict between rotational invariance of physical laws and a specific local realistic theory. The experiment is reproducible by using a local realistic theory obtained in a two-setting Bell experiment. The generalized Bell inequality {[J. Phys. A: Math. Theor. {\bf 40}, 13101 (2007)]}, which is derived under the assumption that there exists a rotationally invariant local realistic theory, turns out to disprove such a local realistic model existing with a two-setting experiment. This implies that such a model is not rotationally invariant and should, therefore, be ruled out in some situations.