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.
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References
J. S. Bell:Physics,1, 195 (1964).
E. P. Wigner:Amer. Journ. Phys.,38, 1005 (1970);J. F. Clauser andM. A. Horne:Phys. Rev. D,10, 526 (1974).
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).
J. F. Clauser, M. A. Horne, A. Shimony andR. A. Holt:Phys. Rev. Lett.,23, 880 (1969).
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).
A. Baracca, S. Bergia, F. Cannata, S. Rufffo andM. Savoia:Int. Journ. Theor. Phys.,16, 481 (1977).
N. Cufaro andP. Selleri: to be published.
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).
L. de Broglie:La physique quantique restera-t-elle indeterministe? (Paris, 1953).
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).
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).
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).
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Selleri, P., Tarozzi, G. Nonlocal theories satisfying bell’s inequality. Nuov Cim B 48, 120–130 (1978). https://doi.org/10.1007/BF02748654
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DOI: https://doi.org/10.1007/BF02748654