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Explicit examples of theories satisfying Bell's inequalities: Do they miss their goal prior to contradicting experiments?

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Abstract

We show that a local theory conforming to the requirement of reducing to usual quantum mechanics for single-particle states and describing two-particle correlations in terms of mixtures violates the condition of perfect anticorrelation between spin components in the case of Bohm's version of EPR.

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References

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

    Google Scholar 

  2. F. Selleri and G. Tarozzi,Riv. Nuovo Cimento 4, 1 (1981) and references therein; A. Aspect, inThe Wave-Particle Dualism, S. Diner, D. Fargue, G. Lochak, and F. Selleri, eds. (Reidel, Dordrecht, 1984); A. Aspect, P. Grangier, and G. Roger,Phys. Rev. Lett. 49, 91 (1982); A. Aspect, J. Dalibard, and G. Roger,Phys. Rev. Lett. 49, 1804 (1982); T. W. Marshall, E. Santos, and F. Selleri, “Collective Effects in the Atomic-Cascade Experimental Tests of Bell Inequalities,” preprint (1983); T. W. Marshall, E. Santos, and F. Selleri, “Local Realism Has Not Been Refuted by Atomic Cascade Experiments,” to appear inPhys. Lett.

    Google Scholar 

  3. J. F. Clauser and A. Shimony,Rep. Prog. Phys. 41, 1881 (1978).

    Google Scholar 

  4. A. Einstein, B. Podolsky, and N. Rosen,Phys. Rev. 47, 777 (1935).

    Google Scholar 

  5. D. Bohm,Quantum Theory (Prentice-Hall, Englewood Cliffs, New Jersey, 1951), pp. 614–622.

    Google Scholar 

  6. J. M. Jauch, inProceedings of the International School of Physics “Enrico Fermi,” (Academic Press, New York, 1971).

    Google Scholar 

  7. D. Bohm and Y. Aharonov,Phys. Rev. 108, 1070 (1975).

    Google Scholar 

  8. F. Selleri,Lett. Nuovo Cimento 3, 14 (1972).

    Google Scholar 

  9. A. Baracca, S. Bergia, R. Livi, and M. Restignoli,Int. J. Theor. Phys. 15, 473 (1976); A. Baracca, S. Bergia, F. Cannata, S. Ruffo, and M. Savoia,Int. J. Theor. Phys. 12, 843 (1982); S. Bergia and F. Cannata,Found. Phys. 12, 843 (1982).

    Google Scholar 

  10. N. D. Mermin,Phys. Rev. D 22, 356 (1980); N. D. Mermin and G. M. Schwarz,Found. Phys. 12, 101 (1982); A. Garg and N. D. Mermin,Phys. Rev. Lett. 49, 901 (1982).

    Google Scholar 

  11. A. Garuccio, G. Scalera, and F. Selleri,Lett. Nuovo Cimento 18, 26 (1977); A. Baracca, A. Cornia, R. Livi, and S. Ruffo,Nuovo Cimento B 43, 65 (1978); A. Baracca, A. Cornia, A. Lunardini, and S. Ruffo,Lett. Nuovo Cimento 22, 281 (1978); A. Cornia, A. Lunardini, and S. Ruffo,Lett. Nuovo Cimento 22, 161 (1978).

    Google Scholar 

  12. G. Scalera,Lett. Nuovo Cimento 38, 16 (1983).

    Google Scholar 

  13. S. W. Hawking,Phys. Rev. D 14, 2460 (1976).

    Google Scholar 

  14. S. W. Hawking,Commun. Math. Phys. 87, 395 (1982).

    Google Scholar 

  15. J. Ellis, J. S. Hagelin, D. V. Nanopoulos, and M. Srednicki, SLACPUB.3131/CERNTH.3619, June 1983.

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Bergia, S., Cannata, F. & Monzoni, V. Explicit examples of theories satisfying Bell's inequalities: Do they miss their goal prior to contradicting experiments?. Found Phys 15, 145–154 (1985). https://doi.org/10.1007/BF00735285

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