Metric dynamics

TL;DR

This paper proposes a novel approach linking force fields to the metric of anisotropic space, providing a unified description of physical system dynamics and resolving paradoxes across various physics domains.

Contribution

It introduces a new perspective that equates force fields with space metrics, enabling a consistent and paradox-free modeling of physical phenomena.

Findings

Unified description of physical systems via space metrics

Resolution of known paradoxes in physics

Applicability across hydrodynamics, electrodynamics, quantum mechanics, gravitation

Abstract

The suggested approach makes it possible to produce a consistent description of motions of a physical system. It is shown that the concept of force fields defining the systems dynamics is equivalent to the choice of the corresponding metric of an anisotropic space, which is used for the modeling of physical reality and the processes that take place. The examples from hydrodynamics, electrodynamics, quantum mechanics and theory of gravitation are discussed. This approach makes it possible to get rid of some known paradoxes. It can be also used for the further development of the theory.