Physical structures. Forming physical fields and manifolds. (Properties of skew-symmetric differential forms)

TL;DR

This paper demonstrates that physical fields and structures originate from conservation laws and are described by skew-symmetric differential forms, revealing their differential-geometrical properties and the role of these forms in physical processes.

Contribution

It introduces a differential-geometrical framework using skew-symmetric differential forms to explain the formation of physical structures and fields from conservation laws.

Findings

Physical structures are formed by differential-geometrical structures.

Skew-symmetric differential forms control the origination of physical fields.

Conservation laws play a key role in evolutionary processes leading to physical structures.

Abstract

It is shown that physical fields are formed by physical structures, which in their properties are differential-geometrical structures. These results have been obtained due to using the mathematical apparatus of skew-symmetric differential forms. This apparatus discloses the controlling role of the conservation laws in evolutionary processes, which proceed in material media and lead to origination of physical structures and forming physical fields and manifolds.