Abstract
This paper consists of two parts. Firstly, we shall clarify the connections existing between Clauser-Horne's inequalities and the conditions established by Pitowsky expressing the Kolmogorovian nature of a probability vector. We shall discuss afterwards three possible interpretations of the experimental violation of these inequalities.
Similar content being viewed by others
References
D. Aerts, “The description of separated systems in quantum mechanics and a possible explanation for the probabilities of quantum mechanics,” inMicrophysical Reality and Quantum Formalism, A. van der Merwe et al., eds., (Kluwer, Dordrecht, 1988).
D. Aerts and J. Reignier, “The Stern-Gerlach effect revisited,” preprinted VUB/TENA/89/08.
A. Aspect, P. Dalibard, and G. Roger, “Experimental tests of realistic local theories via Bell's theorem,”Phys. Rev. Lett. 47, 460 (1981).
J. S. Bell, “On the EPR paradox,”Physics 1, 195 (1964).
D. Bohm,Quantum Theory, (Prentice Hall, Englewood Cliffs, 1951).
D. Bohm, “A suggested interpretation of quantum theory in terms of hidden variables,”Phys. Rev.,85, 166 (1952).
J. F. Clauser and M. A. Horne, “Experimental consequences of objective local theories,”Phys. Rev. D 10, 526 (1974).
C. Dewndney, P. R. Holland, A. Kyprianidis, and J. P. Vigier “Spin and nonlocality in quantum mechanics,”Nature 336, 53–544 (1988).
T. Durt, Doctoral thesis in preparation, to be published in 1996.
D. Home and F. Selleri, “Bell's theorem and the EPR paradox,”Nuovo Cimento 14, 1–96 (1991).
I. Pitowsky, “Resolution of the EPR and Bell paradoxes,”Phys. Rev. Lett. 48, 1299 (1982).
I. Pitowsky,Quantum Probability, Quantum Logic, Springer, New York, 1989).
L. Szabo, “On the real meaning of Bell's theorem,”J. Theor. Phys. 33, 191 (1994).
L. Szabo, “Is quantum mechanics compatible with a deterministic universe? Two interpretations of quantum probabilities,”Found. Phys. Lett. 8, 421 (1995).
A. Zeilinger, “Testing Bell's inequalities with periodic switching,”Phys. Lett. A 118, 1 (1986).
Author information
Authors and Affiliations
Additional information
Supported by the Federale Diensten voor Wet., Techn. en Cult. Aang. in the framework of IUAP-III no 9.
Rights and permissions
About this article
Cite this article
Durt, T. Three interpretations of the violation of Bell's inequalities. Found Phys 27, 415–434 (1997). https://doi.org/10.1007/BF02550164
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02550164