Bell Inequalities, Experimental Protocols and Contextuality

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.

19 pages,17eqs,75 references. Invited Talk given at QTPA conference in Vaxjo, Sweden, 2014, In last version small modification made in the first paragraph of the section 4.3, Found. Phys.,2014

References in corpus (6)

• Quantum non-locality - It ain't necessarily so...
• CHSH inequality: Quantum probabilities as classical conditional probabilities
• Bell violation with entangled photons, free of the coincidence-time loophole
• Event-based simulation of quantum physics experiments
• Seventy Years of the EPR Paradox
• Better Bell inequalities (passion at a distance)

Cited by in corpus (17)

• Is the Moon there if nobody looks: Bell Inequalities and Physical Reality
• Two faced Janus of quantum nonlocality
• Can we close the Bohr-Einstein quantum debate?
• EPR Paradox, Quantum Nonlocality and Physical Reality
• The contextuality loophole is fatal for Bell inequalities: Reply to a comment by I. Schmelzer
• Understanding quantum mechanics: a review and synthesis in precise language
• Is Einsteinian no-signalling violated in Bell Tests?
• Contextuality-by-Default description of Bell tests: Contextuality as the rule not as an exception
• Contextuality or nonlocality; what would John Bell choose today?
• Quantum Mechanics and modelling of physical reality
• Towards experiments to test violation of the original Bell inequality
• Bell inequalities, Counterfactual Definiteness and Falsifiability
• Quantum Nonlocality: how does Nature do it?
• Bell as the Copernicus of Probability
• My discussions of quantum foundations with John Stewart Bell
• Statistical Contextual Explanation of Quantum Paradoxes
• Contextuality and correlation loopholes are equivalent