Field Equations and Equations of Motion in Post-Newtonian Approximation of the Projective Unified Field Theory

TL;DR

This paper derives the equations of motion for multiple bodies within the Post-Newtonian approximation of the Projective Unified Field Theory, providing detailed analysis and numerical estimates relevant to experimental data.

Contribution

It presents the derivation of motion equations from the field equations in a unified theory, including Newtonian and post-Newtonian approximations, with numerical estimates for experimental comparison.

Findings

Derived equations of motion for N bodies in the theory

Analyzed Newtonian and post-Newtonian approximations

Estimated ratio of inertial to scalaric mass from data

Abstract

The equations of motion of $N$ gravitationally bound bodies are derived from the field equations of Projective Unified Field Theory. The Newtonian and the post-Newtonian approximations of the field equations and of the equations of motion of this system of bodies are studied in detail. In analyzing some experimental data we performed some numeric estimates of the ratio of the inertial mass to the scalaric mass of matter.