Bell Inequalities, Experimental Protocols and Contextuality

TL;DR

This paper explores how experimental protocols challenge local realistic and hidden variable models, suggesting quantum probabilities are reducible and quantum theory may be emergent, with implications for understanding measurement and randomness.

Contribution

It demonstrates the inconsistency of local realistic models with experimental protocols and argues for the emergent, reducible nature of quantum probabilities.

Findings

Local realistic models are incompatible with experimental protocols.

Quantum probabilities may be reducible, indicating QT is emergent.

Potential for discovering unpredicted structures in data, challenging QT completeness.

Abstract

The violation of Bell, CHSH and CH inequalities indicates only that the assumption of "conterfactual definiteness" and/or the probabilistic models used in proofs were incorrect. In this paper we discuss in detail an intimate relation between experimental protocols and probabilistic models. In particular we show that local realistic and stochastic hidden variable models are inconsistent with the experimental protocols used in spin polarization correlation experiments. In particular these models neglect a contextual character of quantum theory (QT) and do not describe properly quantum measurements. We argue that the violation of various inequalities gives arguments against the irreducible randomness of act of the measurement. Therefore quantum probabilities are reducible what means that QT is emergent. In this case one could expect to discover in time series of data some unpredicted fine structures proving that QT is not predictably complete what would be a major discovery.