Bell vs. Galileo: the proof of the inequality clashes with the principle of relativity

David H Oaknin (1)

1 Rafael Advanced Defense Systems Ltd.

The Bell's theorem stands as an insuperable roadblock in the path to a very desired intuitive solution of the Einstein-Podolsky-Rosen paradox and, hence, it lies at the core of the current lack of a clear interpretation of the quantum formalism. The theorem states through an experimentally testable inequality that the predictions of quantum mechanics for the Bell's polarization states of two entangled particles cannot be reproduced by any statistical model of hidden variables that shares certain intuitive features. In this paper we show, however, that the proof of the Bell's inequality involves a subtle, though crucial, assumption that is not required by fundamental physical principles and, in fact, it is not fulfilled in the experimental setup that tests the inequality. Indeed, this assumption is at odds with the principle of relativity and, thus, it cannot be properly implemented within the framework of quantum mechanics either. Furthermore, we show that local models of hidden variables that do not comply with this unjustified assumption are not necessarily constrained by the Bell's inequality and can reproduce the predictions of quantum mechanics for the Bell's states.

Domaines: Physique [physics]; Physique mathématique [math-ph]; Relativité Générale et Cosmologie Quantique [gr-qc]

David H Oaknin. Bell vs. Galileo: the proof of the inequality clashes with the principle of relativity. 2018. ⟨hal-01862953v1⟩