Indeterminism and Undecidability

7 Mar 2020 Klaas Landsman

The aim of this paper is to argue that the (alleged) indeterminism of quantum mechanics, claimed by adherents of the Copenhagen interpretation since Born (1926), can be proved from Chaitin's follow-up to Goedel's (first) incompleteness theorem. In comparison, Bell's (1964) theorem as well as the so-called free will theorem-originally due to Heywood and Redhead (1983)-left two loopholes for deterministic hidden variable theories, namely giving up either locality (more precisely: local contextuality, as in Bohmian mechanics) or free choice (i.e. uncorrelated measurement settings, as in 't Hooft's cellular automaton interpretation of quantum mechanics)... (read more)

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Categories


  • MATHEMATICAL PHYSICS
  • MATHEMATICAL PHYSICS
  • QUANTUM PHYSICS
  • 03F40, 81P05