Skip to main content
Log in

Nonlocal theories satisfying bell’s inequality

Резюме не получено

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

Bell’s inequality is well known to be a necessary consequence of Einstein locality. We show, however, that the two best-knownnonlocal theories (Newtonian dynamics and the de Broglie-Bohm nonlocal hidden-variable model) always satisfy Bell’s inequality. The domain of validity of the latter is, therefore, much broader than hitherto believed and the only known theory capable of violating it is the quantummechanical treatment of correlated spins.

Riassunto

Come è ben noto la diseguaglianza di Bell è una conseguenza necessaria della località di Einstein. Si mostra tuttavia che le due teorienon locali più note (la dinamica newtoniana ed il modello a variabili nascoste di de Broglie e Bohm) soddisfano sempre la diseguaglianza di Bell. II dominio di validità di quest’ultima è perciò molto più ampio di quanto si credesse finora e la sola teoria capace di violarla è la trattazione quantomeccanica degli spin correlati.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. S. Bell:Physics,1, 195 (1964).

    Google Scholar 

  2. E. P. Wigner:Amer. Journ. Phys.,38, 1005 (1970);J. F. Clauser andM. A. Horne:Phys. Rev. D,10, 526 (1974).

    Article  ADS  Google Scholar 

  3. The probabilistic and deterministic approaches have been shown to be completely equivalent, as far as inequalities for linear combinations of correlation functions are concerned, byA. Garuccio andF. Selleri:On the equivalence of deterministic and probabilistic local theories, University of Bari, preprint (1978).

  4. J. F. Clauser, M. A. Horne, A. Shimony andR. A. Holt:Phys. Rev. Lett.,23, 880 (1969).

    Article  ADS  MATH  Google Scholar 

  5. J. Edwards:Nuovo Cimento,29 B, 100 (1975);J. Edwards andL. E. Ballentine:Nuovo Cimento,34 B, 91 (1976);A. Garuccio andP. Selleri:Nuovo Cimento,36 B, 176 (1976).

    Article  ADS  Google Scholar 

  6. A. Baracca, S. Bergia, F. Cannata, S. Rufffo andM. Savoia:Int. Journ. Theor. Phys.,16, 481 (1977).

    Article  Google Scholar 

  7. N. Cufaro andP. Selleri: to be published.

  8. Several new consequences of Einstein locality have recently been deduced byM. Mugur-Schächter:Fundamenta Scientiae (1975);B. d’Espagnat:Phys. Rev.,11, 1424 (1975);F. Selleri:Found. Phys.,8, 103 (1978);S. M. Roy andV. Singh:Experimental tests of quantum mechanics vs. local hidden-variable theories, Tata Institute, preprint (1977);A. Garuccio:Generalized inequalities following from Einstein locality, University of Bari, preprint (1978).

  9. L. de Broglie:La physique quantique restera-t-elle indeterministe? (Paris, 1953).

  10. D. Bohm:Phys. Rev.,85, 166, 180 (1952);D. Bohm andJ. Bub:Rev. Mod. Phys.,38, 453 (1966);D. Bohm andB. J. Hiley:Found. Phys.,5, 93 (1974).

    Article  ADS  MATH  Google Scholar 

  11. S. J. Freedman andJ. F. Clauser:Phys. Rev. Lett.,28, 938 (1972);R. A. Holt andF. M. Pipkin: unpublished preprint (1974);J. F. Clauser:Phys. Rev. Lett.,36, 1223 (1976);E. S. Fry andE. C. Thompson:Phys. Rev. Lett.,37, 465 (1976).

    Article  ADS  Google Scholar 

  12. A. Aspect:Phys. Rev. D,14, 1944 (1976);V. Rapisarda: private communication;G. Schiavulli andF. Selleri:Further consequences of Einstein locality, University of Bari, preprint (1978).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Selleri, P., Tarozzi, G. Nonlocal theories satisfying bell’s inequality. Nuov Cim B 48, 120–130 (1978). https://doi.org/10.1007/BF02748654

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02748654

Navigation