Skip to main content

Advertisement

SpringerLink
Log in

Is Nonlocality Responsible for the Violation of Bell’s Inequalities?

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Bell’s theorem has been widely argued to show that some of the predictions of quantum mechanics which are obtained by applying the Born’s rule to a class of entangled states, are not compatible with any local-causal statistical model, via the violation of Bell’s inequalities. On the other hand, in the previous works, we have shown that quantum dynamics and kinematics are emergent from a statistical model that is singled out uniquely by the principle of Locality. Here we shall show that the local-causal model supports entangled states and give the statistical origin of their generation. We then study the Stern-Gerlach experiment to show that the Born’s rule can also be derived as a mathematical theorem in the local-causal model. These results lead us to argue that nonlocality is not responsible for the quantum mechanical and most importantly experimental violation of Bell’s inequalities. The source(s) of violation has to be sought somewhere else.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bell, J. S., Physics 1, 195: Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press. Cambridge, 1987 (1964)

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

    Article  ADS  Google Scholar 

  3. Clauser, J., Horne, M.: Phys. Rev. D. 10, 526 (1974)

    Article  ADS  Google Scholar 

  4. Gisin, N., Peres, A.: Phys. Lett. A. 162, 15 (1992)

    Article  MathSciNet  ADS  Google Scholar 

  5. Jarrett, J.: Nous 18, 569 (1984)

    Article  MathSciNet  Google Scholar 

  6. Shimony, A.: In: Ellis, J., Amati, D. (eds.) , Quantum Reflections. Cambridge University Press, Cambridge (2000)

  7. Bell, J. S.: Epistemol. Lett. 9, 11 (1976)

    Google Scholar 

  8. Shimony, A., Horne, M. A., Clauser, J. S.: Epistemol. Lett. 13, 9 (1976)

    Google Scholar 

  9. d’ Espagnat, B.: Phys. Rep. 110, 201 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  10. Shimony, A., Horne, M. A., Clauser, J. F.: Dialectica 39, 97 (1985)

    Article  MathSciNet  Google Scholar 

  11. Brans, C.: Int. J. Theor. Phys. 27, 219 (1988)

    Article  Google Scholar 

  12. Kofler, J., Paterek, T., Brukner, C.: Phys. Rev. A. 73, 022104 (2006)

    Article  ADS  Google Scholar 

  13. Hall, M. J. W.: Phys. Rev. Lett. 105, 250404 (2010)

    Article  ADS  Google Scholar 

  14. Hall, M. J. W.: Phys. Rev. A. 84, 022102 (2011)

    Article  ADS  Google Scholar 

  15. Di Lorenzo, A.: J. Phys. A Math. Theor. 45, 265302 (2012)

  16. Vervoort, L.: Found. Phys. 43, 769 (2013)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  17. Vorob’ev, N. N: Theor. Probab. Appl VII, 147–162 (1962)

    Article  Google Scholar 

  18. Accardi, L.: Phys. Rep. 77, 169 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  19. Pitowsky, I.: From George Boole to John Bell: The origins of Bell’s inequalities. In: Kafatos, M. (ed.) , Proceeding Conference Bell’s Theorem, Quantum theory and Conceptions of the Universe, pp 37–49. Kluwer, Dordrecht (1989)

  20. Pitowsky, I.: Brit. J. Phil. Sci. 45, 95 (1994)

    Article  MathSciNet  Google Scholar 

  21. Cetto, A. M., Brody, T., de la Penã, L.: Lett. Nuovo Cimento 5, 177 (1997)

    Google Scholar 

  22. Khrennikov, A. Y.: Found. Phys. 32, 1159 (2002)

    Article  MathSciNet  Google Scholar 

  23. Khrennikov, A. Y.: Contexual Approach to Quantum Formalism. Springer, Berlin (2009). arXiv:0709.3909v2

    Book  Google Scholar 

  24. Volovich, I. V.: In: Khrennikov, A. Y. (ed.) , Proceeding Conference Quantum Theory: Reconsideration of Foundations. Ser. Math. Modeling, Vol. 2, p 423. Växjö University Press, Växjö (2002)

  25. Hess, K., Philipp, W.: Bell’s Theorem: Critique of Proofs With And Without Inequalities. In: Khrennikov, A. Y. (ed.) Proceeding Conference Foundations of Probability and Physics-3. AIP Conference Proceedings, Vol. 750, pp. 150–155. AIP, New York. arXiv:quant-ph/0410015v1 (2005)

  26. Hess, K., Michielsen, K., De Raedt, H.: Europhys. Lett. 87, 60007 (2009)

    Article  ADS  Google Scholar 

  27. Niuewenhuizen, T. M.: Found. Phys. 41, 580 (2011)

    Article  MathSciNet  ADS  Google Scholar 

  28. Budiyono, A.: Int. J. Theor. Phys. 53, 1276 (2014)

    Article  MathSciNet  Google Scholar 

  29. Budiyono, A.: Physica A 399, 40 (2014)

    Article  MathSciNet  ADS  Google Scholar 

  30. Budiyono, A.: Physica A 392, 307 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  31. Budiyono, A.: J. Stat. Mech.: Theory Exp. P11007, 1 (2013)

    MathSciNet  Google Scholar 

  32. For a recent review, see N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, arXiv:1303.2849v1

  33. Ellis, G. F. R.: Interface Focus 2, 126 (2012)

    Article  Google Scholar 

  34. Such a setting does not exactly satisfy Maxwell equation. See A. Böhm, Quantum Mechanics, Berlin, Springer-Verlag, 1986

  35. Gill, R. D., Weihs, G., Zeilinger, A., Zukowski, M.: Proc. Nat. Acad. Sci. 9, 14632 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  36. Bohm, D., Hiley, B.: The Undivided Universe: an Ontological Interpretation of Quantum Theory. Routledge, London (1993)

    Google Scholar 

  37. Bohr, N.: Quantum Theory and Measurement. In: Wheeler, J.A., Zurek, W.H. (eds.) , Princeton University Press, Princeton, p 949 (1984)

  38. Bohr, N.: Atomic Physics and Human Knowledge. Dover, New York (2010)

    Google Scholar 

  39. Howard, D.: Philos. Sci. 71, 669 (2004)

    Article  MathSciNet  Google Scholar 

  40. Dada, A. C., Leach, J., Buller, G. S., Padgett, M. J., Andersson, E.: Nat. Phys. 7, 677 (2011)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Jalan Emas 772 Growong Lor RT 04 RW 02 Juwana, Pati, 59185, Jawa Tengah, Indonesia

    Agung Budiyono

Authors
  1. Agung Budiyono
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Agung Budiyono.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Budiyono, A. Is Nonlocality Responsible for the Violation of Bell’s Inequalities?. Int J Theor Phys 53, 3808–3828 (2014). https://doi.org/10.1007/s10773-014-2134-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-014-2134-5

Keywords

Search

Navigation