Abstract
The Bell inequalities of the metric form are introduced. The quantum-mechanical correlations of the particles with s=1/2 and photons are described using the relative measure of probability on the concave surfaces. The relation of the proposed scheme with the Bayes theorem about conditional information entropy and J. von Neumann's postulates is discussed.
Similar content being viewed by others
References
J. S. Bell,Physics 1, 195 (1964). J. S. Bell,Rev. Mod. Phys. 38, 447 (1966).
A. Aspect, J. Dalibard, and G. Roger,Phys. Rev. Lett. 49, 1804 (1982).
S. Kochen and E. Specker,J. Math. Mech. 17, 59 (1967).
R. P. Feynmann,Int. J. Theor. Phys. 21, 467 (1982).
S. L. Braunstein and C. M. Caves,Phys. Rev. Lett. 61, 662 (1988).
A. A. Ungar,Found. Phys. 19, 1385 (1989).
Johan von Neumann,Mathematische Grundlagen der Quanten-Mechanik (Springer, Berlin, 1932).
A. Einstein, B. Podolsky, and N. Rosen,Phys. Rev. 47, 777 (1935).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tyapkin, A.A., Vindushka, M. The geometrical aspects of the bell inequalities. Found Phys 21, 185–195 (1991). https://doi.org/10.1007/BF01889531
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01889531