A probability loophole in the CHSH

TL;DR

This paper demonstrates a local causal model that can probabilistically violate the CHSH inequality, challenging assumptions about locality and causality in quantum experiments.

Contribution

It introduces a robustness stress-test using a local model with random inputs to reveal a probability loophole in CHSH experiments.

Findings

A local causal model can violate CHSH with nonzero probability.

The model uses random local inputs to simulate experiments.

Results suggest potential loopholes in interpreting CHSH violations.

Abstract

In the present paper a robustness stress-test of the CHSH experiments for Einstein locality and causality is designed and employed. Random A and B from dice and coins, but based on a local model, run "parallel" to a real experiment. We found a local causal model with a nonzero probability to violate the CHSH inequality for some relevant quartets $\mathcal{Q}$ of settings in the series of trials.