Black Hole Horizon Fluctuations

TL;DR

This paper investigates the scale at which strong gravitational interactions occur near black hole horizons, revealing they happen at a larger distance than previously thought, with implications for black hole radiation and information paradox.

Contribution

It demonstrates that strong gravitational interactions near black holes occur at a distance proportional to the cube root of the mass, challenging prior assumptions about horizon physics.

Findings

Strong interactions occur at a distance of order M^{1/3} from the horizon.

Implications for black hole radiation and entropy are discussed.

Results impact the understanding of the black hole information puzzle.

Abstract

It is generally admitted that gravitational interactions become large at an invariant distance of order $1$ from the black hole horizon. We show that due to the ``atmosphere'' of high angular particles near the horizon strong gravitational interactions already occur at an invariant distance of the order of $\sqrt[3]{M}$. The implications of these results for the origin of black hole radiation, the meaning of black hole entropy and the information puzzle are discussed.