On the ``nonclassical many-valuedness'' of the universe

Physics

Scientific paper

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Scientific paper

Two problems connected with Dirac quantization of relativistic cosmological models are considered. The difficulties with this approach have been the lack of physical interpretation of the spinor wave functions and the difficulty in extracting the “spinor square root” with a variable “mass” term in the classical Hamiltonian. It is suggested here that the spinor wave functions may be connected with the temporal irreversibility of physical processes in the universe. The analytical difficulty of extracting the spinor square root suggests a modification of the classical theory, in analogy with the theory of the Dirac electron in an electromagnetic field.

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