The arrow of time and the Bell inequalities

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.