Has CHSH-inequality any relation to EPR-argument?

TL;DR

This paper critically examines the connection between CHSH inequalities and the EPR argument, highlighting interpretational issues and the role of the original Bell inequality in quantum theory debates.

Contribution

It clarifies the limitations of using CHSH inequalities to test hidden variable theories and emphasizes the significance of the original Bell inequality and Bohr's interpretation.

Findings

Questions the experimental testability of hidden variable theories using CHSH inequalities

Highlights the importance of the original Bell inequality in understanding quantum correlations

Provides a historical and philosophical analysis of key figures' positions on theory and experiment

Abstract

We emphasize the role of the precise correlations loophole in attempting to connect the CHSH type inequalities with the EPR-argument. The possibility to test theories with hidden variables experimentally by using such inequalities is questioned. The role of the original Bell inequality is highlighted. The interpretation of the CHSH inequality in the spirit of Bohr, as a new test of incompatibility, is presented. The positions of Bohr, Einstein, Podolsky, Rosen, Bell, Clauser, Horne, Shimony, Holt, De Broglie, Hertz, and Boltzmann on interrelation of theory and experiment are enlightened.