A test of reality using quantum entanglement in J/{\psi} $\to$ {\Lambda}$\bar{\Lambda}$

TL;DR

This paper proposes a novel method using decay plane angles to experimentally distinguish quantum mechanics from hidden variable theories, with potential application in BESIII experiments.

Contribution

It introduces a new observable based on decay plane angles to test the fundamental differences between QM and HVTs.

Findings

Derived the distribution of the decay plane angle under QM and HVTs

Discussed the feasibility of testing this method at BESIII

Provides a new experimental approach to test quantum foundations

Abstract

Quantum mechanics (QM) has been criticized for its violation of locality and reality since it was put forward. A series of hidden variable theories (HVTs) were evolved to ensure reality. In this paper, a new method to distinguish QM and HVTs is proposed. The angle between two decay planes is introduced as the observable and the distribution of it under two conditions is deduced. The feasibility to test it on BESIII experiment is discussed.