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Lookup NU author(s): Dr Jonte HanceORCiD
This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
Bell’s theorem is often said to imply that quantum mechanics violates local causality, and that local causality cannot be restored with a hidden-variables theory. This however is only correct if the hidden-variables theory fulfils an assumption called Statistical Independence. Violations of Statistical Independence are commonly interpreted as correlations between the measurement settings and the hidden variables (which determine the measurement outcomes). Such correlations have been discarded as “fine-tuning” or a “conspiracy”. We here point out that the common interpretation is at best physically ambiguous and at worst incorrect. The problem with the common interpretation is that Statistical Independence might be violated because of a non-trivial measure in state space, a possibility we propose to call “supermeasured”. We use Invariant Set Theory as an example of a supermeasured theory that violates the Statistical Independence assumption in Bell’s theorem without requiring correlations between hidden variables and measurement settings (physical statistical independence).
Author(s): Hance JR, Hossenfelder S, Palmer TN
Publication type: Article
Publication status: Published
Journal: Foundations of Physics
Year: 2022
Volume: 52
Print publication date: 19/07/2022
Online publication date: 19/07/2022
Acceptance date: 04/07/2022
Date deposited: 08/04/2024
ISSN (print): 0015-9018
ISSN (electronic): 1572-9516
Publisher: Springer New York LLC
URL: https://doi.org/10.1007/s10701-022-00602-9
DOI: 10.1007/s10701-022-00602-9
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