# The gravitational interaction and riemannian geometry based on the relational statistical space-time concept

*V.V. Aristov*^{1}

(1) A.A. Dorodniyn Computing Center of Russian Academy of Sciences, Moscow

### Abstract

In agreement with the correspondence principle, on the basis of the statistical model being developed, the well-known physical equations are derived. The global nature of the statistical model makes it possible to obtain the well-known relations between the fundamental quantities of micro- and macro-scales. Without invoking field equations, an analogue of the Schwarzschild metric is derived, coinciding with the classical expression in the first approximation. In the second approximation there are distinctions, and the opportunity of detecting the corresponding effects experimentally is discussed. The new metric does not contain any singularities.

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