Inertia in the Structure of Four-dimensional Space

TL;DR

This paper derives covariant equations for the inertial field, explores inertia in weak fields and material space, formulates Mach's principle, and connects inertial phenomena with fundamental constants and magnetic charge.

Contribution

It introduces a geometric derivation of inertial field equations, formulates inertia in material space, and links inertial properties to fundamental physical constants.

Findings

Covariant inertial field equations derived geometrically.

Law of inertia in material space established.

Connection between inertial phenomena and fundamental constants.

Abstract

1. Following Rimman, Minkowski and Einstein, for the first time equations of the inert filed in the covariant form are found geometrically. 2.In the approximation of a weak field for the first time the Law of Inertia in a material space (as opposed to the absolute space) is received. A consequence is the formulation of Mach's principle. 3. Analogous to Einstein's expression for the gravitational field, Compton's formula is received for the inert field. 4. For the first time transcendental equations are received, one of the solutions of which corresponds to the value of the magnetic charge by Dirack, or to the constant of fine structure.