International Journal of Theoretical Physics

, Volume 31, Issue 9, pp 1669–1687 | Cite as

Macroscopic realizations of quantum logics

  • A. A. Grib
  • R. R. Zapatrin


Two-particle quantum systems with spin can be simulated by classical automata described by graphs. These graphs are associated with nondistributive property lattices of these quantum systems. We emphasize that to non-local properties of a quantum system being in a certain eigenstate of the permutation operator there correspond merely some additional vertices in the graph which have nothing “nonlocal” in their nature. This leads to the possibility of violating Bell's inequalities in classical systems described by graphs (see Section 6) without violating relativity theory.

The subjective interpretation of quantum mechanics of von Neumann, London, and Bauer can be connected with the Boolean nature of mind grasping the non-Boolean nature of the world, which results in the projection postulate: wave packet reduction. A simple example is given for a two-particle system with spin.


Field Theory Quantum Field Theory Quantum Mechanic Quantum System Wave Packet 
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Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • A. A. Grib
    • 1
  • R. R. Zapatrin
    • 1
  1. 1.St. Petersburg Financial Economical InstituteSt. PetersburgRussia

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