The dark matter and the condensed description by the gravitational fields in the field theory

TL;DR

This paper proposes a novel approach to describing physical systems with limited information by deriving differential equations from the minimality of generalized variance, using a Riemannian spacetime framework based on gravitational fields.

Contribution

It introduces a new method for modeling physical systems with incomplete data through differential equations derived from variance minimization, incorporating gravitational field metrics.

Findings

Differential equations characterize physical systems with limited information.

Riemannian spacetime is used as an effective model for quantum trajectories.

The approach links gravitational fields to condensed descriptions of physical systems.

Abstract

In this work the approach for a description of the physical systems about whiches it is not possible to get basicly the total information is suggested. As a result the differential equations, the solutions of which characterize the physical system, must bieng obtained from the demand of the minimality of the generalized variance. As the understanding of the particles trajectory absents in the quantum theory we shall consider that the Riemannian space-time is the effective one, postulating the metric tensor on the base of the reduced density matrix of the gravitational fields.