  We introduce the cavity enclosing a source mass $M$ to define the temperature
force. Starting with the Tolman temperature in the stationary spacetime, we
find a non-relativistic temperature $T_{non}= T_\infty(1-\Phi/c^2)$ with the
Newtonian potential $\Phi$. This temperature could be also derived from the
Tolman-Ehrenfest effect, satisfying a relation of $T=T_{\infty}e^{-\Phi/c^2}$
with the local temperature $T$. Finally, we derive the temperature force
$\vec{F}_{tem}=mc^2(\vec{\nabla} \ln T )$ which leads to the Newtonian force
law without introducing the holographic screen defined by holographic principle
and equipartition law for entropic force.

High Energy Physics - Theory;General Relativity and Quantum Cosmology