A Kolmogorov proof of the Clauser, Horne, Shimony and Holt inequalities

TL;DR

This paper presents a proof of the CHSH inequalities using Boolean logic, clarifying their connection to Einstein's elements of reality and quantum nonlocality, and discusses quantum violations and measurement relevance.

Contribution

It offers a novel Boolean logic-based proof of CHSH inequalities, linking classical realism with quantum nonlocality insights.

Findings

Boolean logic proof of CHSH inequalities

Discussion of quantum violation of inequalities

Connection between Einstein realism and quantum nonlocality

Abstract

Boolean logic is used to prove the CHSH inequalities. The proof elucidates the connection be- tween Einstein elements of reality and quantum non locality. The violation of the CHSH inequality by quantum theory is discussed and the two stage view of quantum measurement relevance to incompatible observables is outlined.