What exactly is proved by the violation of Bell's inequality?
Gerold Gr\"undler

TL;DR
This paper clarifies the precise implications of Bell's inequality violations by analyzing different derivations, resolving confusion about what experimental violations actually prove.
Contribution
It provides a detailed comparison of Bell's and Peres' derivations to explicitly answer what violations of Bell's inequality demonstrate.
Findings
Different derivations imply different conclusions.
Clarification of what violations prove about local realism.
Resolution of longstanding confusion in the interpretation of Bell tests.
Abstract
Bell's inequality has been derived several times from quite different basic assumptions, which imply different conclusions. This resulted into widespread confusion regarding the exact implications of the experimental violations of the inequality. In this article, the structures of Bell's and of Peres' derivations are analyzed, and the title question is explicitly answered.
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Taxonomy
TopicsQuantum Mechanics and Applications · Philosophy and History of Science · Philosophy and Theoretical Science
