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Branching space-time analysis of the GHZ theorem

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Abstract

Greenberger. Horne. Shimony, and Zeilinger gave a new version of the Bell theorem without using inequalities (probabilities). Mermin summarized it concisely; but Bohm and Hiley criticized Mermin's proof from contextualists' point of view. Using the branching space-time language, in this paper a proof will be given that is free of these difficulties. At the same time we will also clarify the limits of the validity of the theorem when it is taken as a proof that quantum mechanics is not compatible with a deterministic world nor with a world that permits correlated space-related events without a common cause.

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Authors and Affiliations

  1. Department of Philosophy, University of Pittsburgh, 15260, Pittsburgh, Pennsylvania

    Nuel Belnap

  2. Institute for Theoretical Physics, Eötvös University, Budapest, Hungary

    László E. Szabó

Authors
  1. Nuel Belnap
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  2. László E. Szabó
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Additional information

Supported by OTKA Foundation. Nos. T-015606 and T-017176.

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Belnap, N., Szabó, L.E. Branching space-time analysis of the GHZ theorem. Found Phys 26, 989–1002 (1996). https://doi.org/10.1007/BF02061400

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  • DOI: https://doi.org/10.1007/BF02061400

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