Must hidden variables theories be contextual? Kochen & Specker meet von Neumann and Gleason

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dc.contributor.authorAcuna, Pablo
dc.date.accessioned2025-01-20T23:50:40Z
dc.date.available2025-01-20T23:50:40Z
dc.date.issued2021
dc.description.abstractIt is a widespread belief that the Kochen-Specker theorem imposes a contextuality constraint on the ontology of beables in quantum hidden variables theories. On the other hand, after Bell's influential critique, the importance of von Neumann's wrongly called 'impossibility proof' has been severely questioned. However, Max Jammer, Jeffrey Bub and Dennis Dieks have proposed insightful reassessments of von Neumann's theorem: what it really shows is that hidden variables theories cannot represent their beables by means of Hermitian operators in Hilbert space. Hereby I show that i) the very same constraint can be derived from Gleason's theorem, and that ii) if we consider the import of von Neumann's and Gleason's theorems, the relevance of the Kochen-Specker theorem for hidden variables theories gets substantially weakened: it does not force them to be contextual in any interesting sense of the term.
dc.description.funderFONDECYT
dc.fuente.origenWOS
dc.identifier.doi10.1007/s13194-021-00347-8
dc.identifier.eissn1879-4920
dc.identifier.issn1879-4912
dc.identifier.urihttps://doi.org/10.1007/s13194-021-00347-8
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/94732
dc.identifier.wosidWOS:000641472100005
dc.issue.numero2
dc.language.isoen
dc.revistaEuropean journal for philosophy of science
dc.rightsacceso restringido
dc.subjectQuantum mechanics
dc.subjecthidden variables
dc.subjectcontextuality
dc.subjectKochen-Specker theorem
dc.subjectJohn von Neumann
dc.subjectGleason's theorem
dc.titleMust hidden variables theories be contextual? Kochen & Specker meet von Neumann and Gleason
dc.typeartículo
dc.volumen11
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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