Abstract
The notion of quantum supports introduced by Foulis, Piron, and Randall can be used to construct combinatorial versions of contextualist hidden-variable models for finite quantum logics. The original logic can be uniquely recovered from appropriate such models as a solution of a combinatorial inverse problem. One can thus set up a classical ontology for a finite quantum logics that completely specifies it. Computer studies are used to explore the ideas.
Similar content being viewed by others
References
D. Foulis, C. Piron, and C. Randall,Found. Phys. 13, 813 (1983).
D. Cohen and G. Svetlichny,Int. J. Theor. Phys. 26, 435 (1987).
C. Piron,Foundations of Quantum Physics (Benjamin, London, 1976).
G. Svetlichny,Found. Phys. 16, 1285 (1986).
G. E. Huges and M. J. Cresswell,An. Introduction to Modal Logic (Methuen, London, 1977).
B. F. Chellas,Modal Logic, an Introduction (Cambridge University Press, Cambridge, 1984).
G. Svetlichny,Int. J. Theor. Phys. 26, 221 (1987).
J. von Neumann,Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, 1955).
A. M. Gleason,J. Math. Mech. 6, 885 (1957).
S. Kochen and E. P. Specker,J. Math. Mech. 17, 59 (1967).
J. S. Bell,Rev. Mod. Phys. 38, 477 (1966).
A. Shimony,Br. J. Philos. Sci. 35, 25 (1984).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Svetlichny, G. On the inverse FPR problem: Quantum is classical. Found Phys 20, 635–650 (1990). https://doi.org/10.1007/BF01889452
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01889452