Topological Vacuum of the Closed Universe as a Gauging Factor

Abstract

The only known general base to eliminate the vacuum divergencies of quantized matter fields in quantum geometrodynamics is the fermion-boson supersymmetry. The topological effect of the closed Universe -- discretization of the vacuum fluctuations spectra -- allows to formulate the conditions of cancellation of the divergencies. In the center of attention of this work is the fact that these conditions result in the considerable restrictions on the gauge and factor-ordering ambiguities peculiar to the equations of the theory and, in the limits of the isotropic model of the Universe, remove these ambiguities completely.