THE THEORY OF WIENER AND SIEGEL

Charles R. Johnson, Carlos M. Saiago

R. F. Streater

L.D. LANDAU, E.M. LIFSHITZ

Mićo Đurđević, Milan Vujičić, Fedor Herbut

The three known demonstrations that there exist contextual hidden variables (HV) that reproduce quantum mechanics (the HV theories of Bohm–Bub, Wiener–Siegel, and Gudder) are shown to be special cases of a generalized Gudder’s theory defined in this work. Within this scheme, a symplectic HV theory is introduced for which it is argued that it is physically more useful than Gudder’s theory because it makes possible the definition of a Hamiltonian subquantum dynamical law that reproduces in a natural way the Schrödinger equation. On the other hand, the symplectic HV theory contains as concrete realizations a slightly modified theory of Bohm–Bub and the theory of Wiener and Siegel.

Shigeji Fujita, Kei Ito, Salvador Godoy