Mathematical quantum theory. I: Random ultrafilters as hidden variables

DOI10.1007/BF00413903zbMath0935.81002MaRDI QIDQ1293048

William Boos

Publication date: 5 October 1999

Published in: Synthese (Search for Journal in Brave)

zbMATH Keywords

quantum theorystochasticityBoolean-valued modelshidden variablesnon-relativistic quantum mechanicsinterpretation of quantum statisticsiterated Boolean measure algebrasoperator functional calculusrandom extensions of a set-theoretic universerandom ultrafiltersselfadjoint operators on Hilbert space

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Nonclassical models (Boolean-valued, sheaf, etc.) (03C90)

Related Items

Hidden variables in quantum mechanics: generic models, set-theoretic forcing, and the appearance of probability, Quantum mechanics, formalization and the cosmological constant problem

Cites Work

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