Bell inequalities with retarded settings

TL;DR

This paper introduces retarded Bell inequalities accounting for external interventions in setting choices, showing they align with quantum predictions when settings are equal, but can be violated otherwise, especially with human involvement.

Contribution

The paper derives new retarded Bell inequalities and presents a model that reproduces quantum results under certain conditions, exploring implications of human-influenced settings.

Findings

Retarded Bell inequalities are not violated by quantum theory when settings match.

A simple model reproduces quantum correlations when retarded and actual settings are equal.

Potential for human intervention to influence Bell test outcomes and their interpretation.

Abstract

We consider retarded settings in the context of a Bell-type experiment. The retarded setting is defined as the value the setting would have taken were it not for some external intervention (for example, by a human). We derive retarded Bell inequalities that explicitly take into account the retarded settings. These inequalities are not violated by Quantum Theory (or any other theory) when the retarded settings are equal to the actual settings. We construct a simple model that reproduces Quantum Theory when the retarded and actual settings are equal, but violates it when they are not. We discuss using humans to choose the settings in this type of experiment and the implications of a violation of Quantum Theory (in agreement with the retarded Bell inequalities) in this context.