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Kochen–Specker theorem is one of the 'no-go' theorems for hidden variables theories. Is it possible using Kochen–Specker theorem to show experimentally that hidden variables theories reproducing QM numerically are indeed in trouble (at least), like it is possible using Bell theorem? If yes, then how?

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    $\begingroup$ The short answer is that experiments have been performed to test if reality matches the Kochen Specker theorem, e.g. - arxiv.org/abs/1209.1836 $\endgroup$
    – alanf
    Commented Mar 7, 2023 at 8:58
  • $\begingroup$ Note that Kochen-Specher theorem does not disprove hidden variables, it disproves non-contextual hidden variables theories. $\endgroup$
    – Mauricio
    Commented Mar 7, 2023 at 10:12
  • $\begingroup$ @Mauricio If an experiment demonstrates non-contextuality where it should not be according to Kochen–Specker this is a trouble for all hidden variables. $\endgroup$
    – kludg
    Commented Mar 7, 2023 at 10:36
  • $\begingroup$ @kludg Bell's theorem has not stopped people from modelling nonlocal hidden variables, KS theorem will not stop people from modelling contextual hidden variables. $\endgroup$
    – Mauricio
    Commented Mar 7, 2023 at 10:41
  • $\begingroup$ @Mauricio: I am not against, maybe they''ll discover something useful. I just want to clarify things to myself. $\endgroup$
    – kludg
    Commented Mar 7, 2023 at 10:56

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