The Strong Free Will Theorem

TL;DR

This paper strengthens the Free Will Theorem by weakening its axioms and extending its applicability to relativistic theories, providing a more general and robust foundation for understanding quantum phenomena.

Contribution

It replaces the axiom FIN with a weaker axiom MIN and allows responses to depend on past half-spaces, broadening the theorem's scope.

Findings

The theorem remains valid under weaker assumptions.

It applies directly to relativistic GRW-type theories.

The results enhance the foundational understanding of quantum mechanics.

Abstract

We strengthen "The Free Will Theorem" [1] in several ways, by replacing the axiom FIN by a weaker axiom MIN, and also by allowing the particles' responses to depend on past half-spaces rather than on on past light cones. This change allows us to directly apply our theorem to relativistic theories of the GRW type.