Classical Inversion of the CHSH Inequality

TL;DR

This paper demonstrates that by introducing a brief delay before detection, the classical CHSH inequality can be inverted from an upper bound to a lower bound, challenging traditional interpretations of classical correlations.

Contribution

It shows that local, non-interventional delays can invert the classical CHSH inequality, expanding understanding of classical correlation bounds.

Findings

Inversion of CHSH inequality from S ≤ 2 to S ≥ 2 with delays

Maximum classical S value can reach 3 under delay conditions

Delays do not involve non-local or causal interventions

Abstract

In general, the CHSH inequality $S \le 2$ is considered to provide an \textit{upper} bound for classical correlations. In this note it is shown that if incoming particles are allowed to be delayed ever so briefly, the inequality can be inverted to $S \ge 2$ thus becoming a \textit{lower} bound for classical correlations (maximum S=3). All interaction is strictly local and events are neither dropped nor re-sequenced thus strictly conforming to the standard CHSH setup. The key notion is that a (brief) delay in front of a detector is not a causative intervention.