Foundations of Physics

, Volume 6, Issue 5, pp 511–525 | Cite as

Hidden variables and locality

  • Jeffrey Bub


Bell's problem of the possibility of a local hidden variable theory of quantum phenomena is considered in the context of the general problem of representing the statistical states of a quantum mechanical system by measures on a classical probability space, and Bell's result is presented as a generalization of Maczynski's theorem for maximal magnitudes. The proof of this generalization is shown to depend on the impossibility of recovering the quantum statistics for sequential probabilities in a classical representation without introducing a randomization process for the hidden variables. Hidden variable theories that exclude such a randomization process are termed “strict,” and it is shown that the class of local hidden variable theories is included in the class of strict theories. A counterargument by Freedman and Wigner is evaluated with reference to Clauser's extension of a hidden variable model proposed by Bell.


Statistical State Quantum Statistic Mechanical System Randomization Process General Problem 
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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • Jeffrey Bub
    • 1
    • 2
  1. 1.Tel-Aviv UniversityRamat-AvivIsrael
  2. 2.University of Western OntarioLondonCanada

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