Bell's Theorem: Two Neglected Solutions

TL;DR

This paper explores two lesser-known solutions to Bell's theorem, superdeterminism and supercorrelation, demonstrating that local systems can violate Bell inequalities by violating measurement independence.

Contribution

It investigates supercorrelation through spin lattice models, showing local violations of Bell inequalities and highlighting the significance of measurement independence assumptions.

Findings

Spin lattices can violate Bell inequalities locally.

Violation linked to measurement independence breach.

Highlights importance of Bell inequality premises.

Abstract

Bell's theorem admits several interpretations or 'solutions', the standard interpretation being 'indeterminism', a next one 'nonlocality'. In this article two further solutions are investigated, termed here 'superdeterminism' and 'supercorrelation'. The former is especially interesting for philosophical reasons, if only because it is always rejected on the basis of extra-physical arguments. The latter, supercorrelation, will be studied here by investigating model systems that can mimic it, namely spin lattices. It is shown that in these systems the Bell inequality can be violated, even if they are local according to usual definitions. Violation of the Bell inequality is retraced to violation of 'measurement independence'. These results emphasize the importance of studying the premises of the Bell inequality in realistic systems.