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Locality and Bell's Theorem

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Abstract

It is shown that the violation of Bell's inequality allowed by quantum mechanics and the related Bell's theorem without inequalities is accounted for by local commutations of operators representing single-particle observables. It is argued that the idea of nonlocal influencing of one particle on another when they are in spacelike separated regions clearly has neither empirical nor theoretical support.

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REFERENCES

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

    Google Scholar 

  2. D. M. Greenberger, M. Horne, and A. Zeilinger, In Bell's Theorem, Quantum Theory, and Conceptions of the Universe, M. Kafatos, ed. (Kluwer, Dordrecht, 1989), p. 69; D. M. Greenberger, M. Horne, A. Shimony, and A. Zeilinger, Am. J. Phys. 58, 1131 (1990).

    Google Scholar 

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

    Google Scholar 

  4. G. C. Ghirardi and T. Weber, Lett. Nuovo Cim. 26, 599 (1979; G. C. Ghirardi, A. Rimini, and T. Weber, Lett. Nuovo Cim. 27, 293 (1980).

    Google Scholar 

  5. S. Weinberg, The Quantum Theory of Fields, Vol. I (Cambridge University Press, Cambridge, 1995).

    Google Scholar 

  6. D. Fivel,'Implications of an ambiguity in J. S. Bell's analysis of the Einstein\3-Podolsky\3-Rosen problem,' hhttp://www.xxx.lanl.gov/hep-th/9404178.

  7. R. B. Griffiths, Am. J. Phys. 55, 11 (1986).

    Google Scholar 

  8. L. J. Landau, Phys. Lett. A 120, 54 (1987).

    Google Scholar 

  9. B. S. Cirel'son, Lett. Math. Phys. 4, 93 (1980).

    Google Scholar 

  10. D. Fivel, Phys. Rev. Lett. 67, 285 (1991).

    Google Scholar 

  11. N. Herbert, Am. J. Phys. 43, 315 (1975); N. Herbert and J. Karush, Found. Phys. 8, 313 (1978).

    Google Scholar 

  12. T. A. Brody and L. de la Peña Auerbach, Nuovo Cim. 54, 455 (1979).

    Google Scholar 

  13. A. Fine, Phys. Rev. Let. 48, 291 (1982); J. Math. Phys. 23, 1306 (1982).

    Google Scholar 

  14. J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).

    Google Scholar 

  15. D. Fivel, In D. M. Greenberger and A. Zeilinger, eds.,'Fundamental Problems in Quantum Theory,' Ann. N.Y. Acad. Sci. V. 755 (1995).

  16. E. Santos, Phys. Lett. A 115, 363 (1986).

    Google Scholar 

  17. M. Revzen, M. Lokajicek, and A. Mann, Quant. Semiclass. Opt. 9, 501 (1997).

    Google Scholar 

  18. A. Chefles and S. M. Barnett, J. Phys. A 29, L 237 (1996).

    Google Scholar 

  19. J. E. G. Farina, Am. J. Phys. 61, 466 (1993).

    Google Scholar 

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De Baere, W., Mann, A. & Revzen, M. Locality and Bell's Theorem. Foundations of Physics 29, 67–77 (1999). https://doi.org/10.1023/A:1018865120111

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  • DOI: https://doi.org/10.1023/A:1018865120111

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