A new class of time-dependent Bell inequalities in Wigner form

TL;DR

This paper introduces a new class of time-dependent Bell inequalities in Wigner form, derived under locality assumptions, and explores their violation in various quantum systems such as spin correlations, meson oscillations, and particle decays.

Contribution

It presents a novel derivation of time-dependent Bell inequalities in Wigner form within Kolmogorov's probability framework, expanding the theoretical tools for testing quantum nonlocality.

Findings

Violations observed in spin correlation experiments under magnetic fields

Demonstrated violations in neutral pseudoscalar meson oscillations

Identified violations in pseudoscalar decay processes

Abstract

We derive a new class of time-dependent Bell inequalities in Wigner form under the assumption of locality in the framework of Kolmogorov's probability theory. We consider violation of the obtained inequalities for three cases: spin correlations in an external magnetic field; oscillations of neutral pseudoscalar mesons; and decays of a pseudoscalar into a fermion-antifermion pair.