How Spacetime Foam modifies the brick wall

TL;DR

This paper investigates how spacetime foam, modeled as a distribution of wormholes, affects the brick-wall model of black hole horizons, revealing a logarithmic divergence in the cutoff parameter.

Contribution

It introduces a scale-invariant wormhole distribution into the brick-wall model, providing a new perspective on horizon divergences in quantum gravity.

Findings

Brick wall divergence becomes logarithmic with wormhole foam

Spacetime foam modifies black hole horizon structure

Scale invariance plays a key role in divergence behavior

Abstract

We re-examine the brick-wall model in the context of spacetime foam. In particular we consider a foam composed by wormholes of different sizes filling the black hole horizon. The contribution of such wormholes is computed via a scale invariant distribution. We obtain that the brick wall divergence appears to be logarithmic when the cutoff is sent to zero.