# Gravitational attraction until relativistic equipartition of internal and translational kinetic energies

## TL;DR

This paper explores how internal heat-energy dynamics influence geodesic motion in relativity, proposing a principle of equipartition between internal and translational energies that affects self-organization and motion in gravitational fields.

## Contribution

It introduces a novel concept of relativistic equipartition of internal and translational kinetic energies affecting geodesic motion and self-organization in gravitational fields.

## Key findings

- Internal heat variations cause cyclic dynamics in gravitational fall and rise.
- Maximum coordinate speed occurs at energy equipartition.
- Predictions enable testing of the equipartition principle in various fields.

## Abstract

Translational ordering of the internal kinematic chaos provides the Special Relativity referents for the geodesic motion of warm thermodynamical bodies. Taking identical mathematics, relativistic physics of the low speed transport of time-varying heat-energies differs from Newton's physics of steady masses without internal degrees of freedom. General Relativity predicts geodesic changes of the internal heat-energy variable under the free gravitational fall and the geodesic turn in the radial field center. Internal heat variations enable cyclic dynamics of decelerated falls and accelerated takeoffs of inertial matter and its structural self-organization. The coordinate speed of the ordered spatial motion takes maximum under the equipartition of relativistic internal and translational kinetic energies. Observable predictions are discussed for verification/falsification of the principle of equipartition as a new basic for the ordered motion and self-organization in external fields, including gravitational, electromagnetic, and thermal ones.