The arrow of time and the Bell inequalities

TL;DR

This paper discusses the nature of irreversibility in open systems, the implications of relativity on information transfer, and proposes an alternative correlation formula for hidden variables consistent with relativity.

Contribution

It introduces an alternative correlation formula to Bell's inequalities, compatible with relativity, and clarifies the relationship between irreversibility, information transfer, and Bell inequality violations.

Findings

Bell inequality violations are compatible with relativity.

Open systems exhibit irreversibility due to universe evolution.

A new correlation formula for hidden variables is proposed.

Abstract

It is recalled that closed (isolated) systems are essentially reversible whilst open systems like the Earth, or living beings on it, are irreversible because they are not isolated. Earth and life irreversibility derives from the evolution of the universe, which is a consequence of its special initial conditions. It is stressed that, although relativity theory forbids that information travels faster than light, it does not forbid influences of an event on its past light cone. Therefore the violation of Bell inequalities in loophole-free experiments is compatible with relativity theory. A correlation formula, alternative to Bell's, is proposed as the starting point for hidden variables models fitting in relativity.