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Violation of Bell Inequalities: Mapping the Conceptual Implications

Drummond, Brian (2021) Violation of Bell Inequalities: Mapping the Conceptual Implications. International Journal of Quantum Foundations, 7 (3). pp. 47-78.

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This short article concentrates on the conceptual aspects of the violation of Bell inequalities, and acts as a map to the 265 cited references. The article outlines (a) relevant characteristics of quantum mechanics, such as statistical balance and entanglement, (b) the thinking that led to the derivation of the original Bell inequality, and (c) the range of claimed implications, including realism, locality and others which attract less attention. The main conclusion is that violation of Bell inequalities appears to have some implications for the nature of physical reality, but that none of these are definite. The violations constrain possible prequantum (underlying) theories, but do not rule out the possibility that such theories might reconcile at least one understanding of locality and realism to quantum mechanical predictions. Violation might reflect, at least partly, failure to acknowledge the contextuality of quantum mechanics, or that data from different probability spaces have been inappropriately combined. Many claims that there are definite implications reflect one or more of (i) imprecise non-mathematical language, (ii) assumptions inappropriate in quantum mechanics, (iii) inadequate treatment of measurement statistics and (iv) underlying philosophical assumptions.

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Item Type: Published Article or Volume
Keywords: Bell inequalities; statistical balance; entanglement; realism; locality; prequantum theories; contextuality; probability space; conceptual; philosophical
Subjects: Specific Sciences > Physics > Quantum Mechanics
General Issues > Realism/Anti-realism
Depositing User: Mr Brian Drummond
Date Deposited: 28 Jun 2021 04:25
Last Modified: 28 Jun 2021 04:25
Item ID: 19242
Journal or Publication Title: International Journal of Quantum Foundations
Official URL:
Subjects: Specific Sciences > Physics > Quantum Mechanics
General Issues > Realism/Anti-realism
Date: 26 June 2021
Page Range: pp. 47-78
Volume: 7
Number: 3

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