Gravitational Thermodynamics of Space-time Foam in One-loop Approximation

TL;DR

This paper demonstrates that quantum foam's thermodynamics in flat and Schwarzschild space-times aligns with Hawking-Unruh radiation, indicating the presence of thermal gravitons and providing quantum gravity corrections to black hole thermodynamics.

Contribution

It establishes a direct link between quantum foam thermodynamics and Hawking-Unruh radiation, including quantum gravity corrections in one-loop approximation.

Findings

Quantum foam thermodynamics matches Hawking-Unruh radiation.

Thermal gravitons are part of Hawking-Unruh radiation.

Provides quantum gravity correction to black hole thermodynamics.

Abstract

We show from one-loop quantum gravity and statistical thermodynamics that the thermodynamics of quantum foam in flat space-time and Schwarzschild space-time is exactly the same as that of Hawking-Unruh radiation in thermal equilibrium. This means we show unambiguously that Hawking-Unruh thermal radiation should contain thermal gravitons or the contribution of quantum space-time foam. As a by-product, we give also the quantum gravity correction in one-loop approximation to the classical black hole thermodynamics.