  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.
