In quantum mechanics, superdeterminism is a loophole in Bell's theorem. By postulating that all systems being measured are correlated with the choices of which measurements to make on them, the assumptions of the theorem are no longer fulfilled. A hidden variables theory which is superdeterministic can thus fulfill Bell's notion of local causality and still violate the inequalities derived from Bell's theorem.[1] This makes it possible to construct a local hidden-variable theory that reproduces the predictions of quantum mechanics, for which a few toy models have been proposed.[2][3][4] In addition to being deterministic, superdeterministic models also postulate correlations between the state that is measured and the measurement setting.
^Larsson, Jan-Åke (2014). "Loopholes in Bell inequality tests of local realism". Journal of Physics A: Mathematical and Theoretical. 47 (42): 16. arXiv:1407.0363. Bibcode:2014JPhA...47P4003L. doi:10.1088/1751-8113/47/42/424003. S2CID 40332044.
^Brans, Carl H. (1988-02-01). "Bell's theorem does not eliminate fully causal hidden variables". International Journal of Theoretical Physics. 27 (2): 219–226. doi:10.1007/BF00670750. ISSN 1572-9575. S2CID 121627152.
^Hall, Michael J. W. (2010-12-16). "Local Deterministic Model of Singlet State Correlations Based on Relaxing Measurement Independence". Physical Review Letters. 105 (25): 250404. doi:10.1103/PhysRevLett.105.250404. hdl:10072/42810. PMID 21231566. S2CID 45436471.
^Donadi, Sandro; Hossenfelder, Sabine (2022-08-19). "Toy model for local and deterministic wave-function collapse". Physical Review A. 106 (2): 022212. arXiv:2010.01327. doi:10.1103/PhysRevA.106.022212. S2CID 237260229.
In quantum mechanics, superdeterminism is a loophole in Bell's theorem. By postulating that all systems being measured are correlated with the choices...
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