On a possible EPR experiment with $B^{0}_{d}\bar{B^{0}_{d}}$ pairs

TL;DR

This paper proposes a local realistic theory for B meson pairs and suggests that asymmetric B-factories can experimentally distinguish between local realism and quantum mechanics through time-dependent measurements.

Contribution

It introduces a general local realistic model for B meson pairs and demonstrates its testability against quantum predictions using asymmetric B-factories.

Findings

Local realistic asymmetry differs from quantum mechanical predictions.

Asymmetric B-factories can perform precise time-dependent measurements.

Experiments can discriminate between local realism and quantum theory.

Abstract

A very general local realistic theory of single $B^{0}_{d}$ mesons and of correlated $B^{0}_{d}\bar{B^{0}_{d}}$ pairs is formulated. If these pairs are produced in the $\Upsilon (4S)$ decay, the local realistic asymmetry for observing pairs with like and unlike flavour at different proper times remarkably differs from the quantum mechanical prediction. Asymmetric B-factories provide a powerful tool for the study of the EPR problem since the relative detection experiments are shown to be capable of a time-dependent measurement precise enough to discriminate between local realism and quantum theory.