Il Nuovo Cimento B (1971-1996)

, Volume 38, Issue 1, pp 75–80 | Cite as

Bell's theorem without hidden variables

  • P. H. Eberhard


The conflict between the principle of local causes and the predictions of quantum theory is demonstrated in a concise form without using the concept of hidden variables or determinism.

Теорема Белла без скрытых переменных


Рассматривается противоречие между принципом локальной причинности и предсказаниями квантовой теории в явном виде без использования концепции скрытых переменных или детерминизма.


Si dimostra il conflitto tra il principio delle cause locali e le predizioni della teoria quantistica in forma concisa e senza usare il concetto delle variabili nascoste o il determinismo.


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  1. (1).
    J. S. Bell:Physics,1, 195 (1964).Google Scholar
  2. (2).
    See, for instance,H. P. Stapp:Phys. Rev. D,3, 1303 (1971);H. P. Stapp:Lectures on Bell's Theorem (Trieste, 1975).ADSCrossRefGoogle Scholar
  3. (3).
    J. S. Bell: Res. Th. 2053-CERN,The theory of local Beables, communication at theVI Gift Conference, Jaca, June 2–7, 1975;J. F. Clauser andM. A. Horne:Phys. Rev. D,10, 526 (1974);N. Herbert:Amer. Journ. Phys.,43, 315 (1975).Google Scholar
  4. (4).
    CHSH stands forJ. F. Clauser, M. A. Horne, A. Shimony andR. A. Holt:Phys. Rev. Lett.,23, 880 (1969).ADSCrossRefGoogle Scholar
  5. (5).
    That consideration is related to Stapp's concept of «contrafactual definiteness» (see ref. (2)). It would not make sense to talk about nonactual experiments if, for instance, we believed that there is no free will, and the choice by an experimenter is determined anyway. Otherwise, I believe that considering different possible results of a future experiment, depending on one's decision, is a rather natural way of thinking.ADSCrossRefGoogle Scholar
  6. (6).
    Note that the conventional formalism of quantum theory also involves nonlocal evolutions of the wave function when the wave function collapses.Google Scholar

Copyright information

© Società Italiana di Fisica 1977

Authors and Affiliations

  • P. H. Eberhard
    • 1
  1. 1.Physics Division, Lawrence Berkeley LaboratoryUniversity of CaliforniaBerkeley

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