Black Hole Entropy: a spacetime foam approach

TL;DR

This paper explores a spacetime foam model at black hole horizons to derive entropy and thermodynamic properties, linking quantum fluctuations to black hole microstates and potential micro black hole creation.

Contribution

It introduces a novel spacetime foam model at the event horizon and derives formulas for microholes and entropy, connecting quantum fluctuations with black hole thermodynamics.

Findings

Derived a formula for the number of microholes on the horizon surface.

Extended thermodynamical properties from the horizon to spacetime.

Investigated micro black hole creation via the Unruh Effect.

Abstract

The spacetime foam structure is reviewed briefly (topogical fluctuations and virtual black hole possibility; equation of state of the foam). A model of space foam at the surface of the event horizon is introduced. The model is applied to the calculus of the number of states of a black hole, of its entropy and of other thermodynamical properties. A formula for the number of microholes on the surface of the event horizon is derived. Thermodynamical properties of the event horizon are extended to thermodynamical properties of the space. On the basis of the previous results, the possibility of micro black holes creation by the Unruh Effect is investigated.