Abstract
It is explained on a physical basis how absence of contextuality allows Bell inequalities to be violated, without bringing an implication on locality or realism. Hereto we connect first to the local realistic theory Stochastic Electrodynamics, and then put the argument more broadly. Thus even if Bell Inequality Violation is demonstrated beyond reasonable doubt, it will have no say on local realism, because absence of contextuality prevents the Bell inequalities to be derived from local realistic models.
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Allahverdyan, A.E., Balian, R., Nieuwenhuizen, Th.M.: Europhys. Lett. 61, 452 (2003)
de la Peña, L., Cetto, A.M.: The Quantum Dice: An Introduction to Stochastic Electrodynamics. Kluwer, Dordrecht (1996)
de la Peña, L., Cetto, A.M.: In: Adenier, G., Khrennikov, A.Y., Nieuwenhuizen, T.M. (eds.) Quantum Theory: Reconsideration of Foundations-3. AIP Conference Proceedings, vol. 810, p. 131. AIP, Melville (2006)
’t Hooft, G.: arXiv:0908.3408
Nieuwenhuizen, T.M.: In: Adenier, G., Khrennikov, A.Y., Nieuwenhuizen, T.M. (eds.) Quantum Theory: Reconsideration of Foundations-3. AIP Conference Proceedings, vol. 810, p. 198. AIP, Melville (2006)
Couder, Y., Fort, E.: Phys. Rev. Lett. 97, 154101 (2006)
Eddi, A., Fort, E., Moisy, F., Couder, Y.: Phys. Rev. Lett. 102, 240401 (2009)
Bell, J.S.: Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press, Cambridge (1987)
Khrennikov, A.Y.: arXiv:0709.3909
Cetto, A.M., Brody, T., de la Peña, L.: Lett. Nuovo Cimento 5, 177 (1997)
Accardi, L.: Phys. Rep. 77, 169 (1981)
Fine, A.: Phys. Rev. Lett. 48, 291–295 (1982)
Pitowsky, I.: Phys. Rev. Lett. 48, 1299–1302 (1982)
Rastal, P.: Found. Phys. 13, 555–575 (1983)
Kupczynski, M.: Phys. Lett. A 116, 417–422 (1986)
Garola, C., Solombrino, L.: Found. Phys. 26, 1121 (1996)
Khrennikov, A.Yu.: Found. Phys. 32, 1159–1174 (2002)
Volovich, I.V.: In: Khrennikov, A.Y. (ed.) Proc. Conf. Quantum Theory: Reconsideration of Foundations. Ser. Math. Modeling, vol. 2, p. 423. Växjö University Press, Växjö (2002)
Hess, K., Philipp, W.: In: Khrennikov, A.Y. (ed.) Proc. Conf. Foundations of Probability and Physics-3. AIP Conference Proceedings, vol. 750, pp. 150–155. AIP, New York (2005)
Garola, C., Sozzo, S.: quant-ph/0703260 (2007)
Zhao, S., de Raedt, H., Michielsen, K.: Found. Phys. 38, 322 (2008)
Accardi, L., Imafuku, K., Regoli, M.: Infin. Dimens. Anal. Quantum Probab. Relat. Top. 51, 1 (2002)
Adenier, G.: AIP Conference Proceedings 1101 (2009)
Adenier, G.: J. Phys. B 40, 131–141 (2007)
Adenier, G.: Am. J. Phys. 76, 147 (2008)
Hess, K., Michielsen, K., De Raedt, H.: Europhys. Lett. 87, 60007 (2009)
Khrennikov, A.Y.: Interpretations of Probability, 2nd edn. de Gruyter, Berlin (2009)
Khrennikov, A.Y.: Contextual Approach to Quantum Formalism. Springer, Berlin (2009)
Allahverdyan, A.E., Khrennikov, A., Nieuwenhuizen, T.M.: Phys. Rev. A 72, 032102 (2005)
Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A.: Phys. Rev. Lett. 49, 1804 (1969)
Freedman, S.J., Clauser, J.F.: Phys. Rev. Lett. 28, 938 (1972)
Aspect, A., Dalibard, J., Roger, G.: Phys. Rev. Lett. 49, 1804 (1982)
Vorobev, N.N.: Theory Probab. Appl. 7, 147–162 (1962)
Rohe, M.A., Kielpinski, D., Meyer, V., Sackett, C.A., Itano, W.M., Monroe, C., Wineland, D.J.: Nature 409, 791 (2001)
Weihs, G., Jennewein, T., Simon, C., Weinfurther, H., Zeilinger, A.: Phys. Rev. Lett. 81, 5039 (1998)
Hasegaga, Y., Loidl, R., Barudek, G., Baron, M., Rauch, H.: Nature 425, 45 (2003)
Larsson, J.A., Gill, R.D.: Europhys. Lett. 67, 707 (2004)
Adenier, G.: Local realist approach and numerical simulations of nonclassical experiments in quantum mechanics. Thesis, Växjö University, November 2008
Santos, E.: Found. Phys. 34, 1643 (2004)
Mermin, N.D.: Am. J. Phys. 49, 940 (1981)
Adenier, G.: Am. J. Phys. 76, 147 (2008)
Gröblacher, S., Paterek, T., Kaltenbaek, R., Brukner, C., Zukowski, M., Aspelmeyer, M., Zeilinger, A.: Nature 446, 871 (2007)
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Nieuwenhuizen, T.M. Is the Contextuality Loophole Fatal for the Derivation of Bell Inequalities?. Found Phys 41, 580–591 (2011). https://doi.org/10.1007/s10701-010-9461-z
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DOI: https://doi.org/10.1007/s10701-010-9461-z