On the metrizability of the affine connectivity space and the unified theory of fundamental interactions

Abstract

© Published under licence by IOP Publishing Ltd. We propose the background connectivity interpret as the empirical connectivity, received as the particular case of the transition operator, which had been by induced by the collision integral. Approximating the transition operator by the differential operator we shall demand minimum variance of the given operator from the transition operator for the definition of the metric tensor. As a result we receive with the help of the variation formalism the differential equation of the regression, solving of which can find the metric tensor. By the help of the given tensor we receive the Christoffel symbols. Using the metric tensor and the Christoffel symbols can construct both the Einstein gravitation theory and the Chernikov gravitation theory with the two connectivity's. Constructing the empirical connectivity theory we shall use the generalized functions, that implies the change of the space-time topology.