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From EPR-Schrödinger Paradox to Nonlocality Based on Perfect Correlations

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Abstract

We give a conceptually simple proof of nonlocality using only the perfect correlations between results of measurements on distant systems discussed by Einstein, Podolsky and Rosen—correlations that EPR thought proved the incompleteness of quantum mechanics. Our argument relies on an extension of EPR by Schrödinger. We also briefly discuss nonlocality and “hidden variables” within Bohmian mechanics.

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Change history

  • 30 May 2022

    The reference [59] mentioned in the references “[4], [11], [49], [55]” should be changed to “[54]”. However it is now corrected.

Notes

  1. The most extreme position might be that of Mermin, who told us that (due to a variant of Theorem 4.1 below) the moon is demonstrably not there when nobody looks [38, p. 397].

  2. For simplicity, we take for granted in this paper a non-relativistic framework.

  3. Both operators O and \({\tilde{O}}\) act on the same Hilbert space \({\mathcal {H}}\).

  4. As we shall see in Sect. 7, contextual value-maps occur naturally in Bohmian mechanics.

  5. Thus he did not make the mistake made by von Neumann (see [17] for a discussion of that mistake).

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Authors and Affiliations

  1. IRMP, Université catholique de Louvain, chemin du Cyclotron 2, 1348, Louvain-la-Neuve, Belgium

    Jean Bricmont

  2. Department of Mathematics, Rutgers University, Hill Center, 110 Frelinghuysen Road, Piscataway, NJ, 08854-8019, USA

    Sheldon Goldstein

  3. Berlin, MD, 21811, USA

    Douglas Hemmick

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  1. Jean Bricmont
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  2. Sheldon Goldstein
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Bricmont, J., Goldstein, S. & Hemmick, D. From EPR-Schrödinger Paradox to Nonlocality Based on Perfect Correlations. Found Phys 52, 53 (2022). https://doi.org/10.1007/s10701-022-00568-8

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