Abstract
Two problems will be considered: the question of hidden parameters and the problem of Kolmogorovity of quantum probabilities. Both of them will be analyzed from the point of view of two distinct understandings of quantum mechanical probabilities. Our analysis will be focused, as a particular example, on the Aspect-type EPR experiment. It will be shown that the quantum mechanical probabilities appearing in this experiment can be consistently understood as conditional probabilities without any paradoxical consequences. Therefore, nothing implies in the Aspect experiment that quantum theory is incompatible with a deterministic universe.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. Belnap and M. Green (forthcoming), “Indeterminism and the thin red line”, InPhilosophical perspectives: logic and language, vol. 8.
C. H. Brans (1988): “Bell's theorem does not eliminate fully causal hidden variables”,Int. J. Theor. Phys. 27 219.
J. F. Clauser and A. Shimony (1978): “Bell's theorem: experimental tests and implications”,Rep. Prog. Phys. 41 1881.
N. D. Mermin (1989): “What's wrong with these elements of reality?”,Physics Today, June 9–11.
I. Pitowsky (1989):Quantum Probability - Quantum Logic (Lecture Notes in Physics321) (Springer, Berlin).
L. E. Szabó (1994): “Quantum mechanics in an entirely deterministic universe”, to be published in Proceedings of “Quantum Structures '94”, Prague, 1994.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Szabó, L.E. Is quantum mechanics compatible with a deterministic universe? Two interpretations of quantum probabilities. Found Phys Lett 8, 417–436 (1995). https://doi.org/10.1007/BF02186578
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02186578