The horizon of the lightest black hole

TL;DR

This paper investigates the poles of the resummed graviton propagator, demonstrating they possess properties consistent with black hole precursors using the Horizon Wave-Function formalism, and confirming their potential as black hole precursors.

Contribution

It provides evidence that the poles of the resummed graviton propagator are compatible with being black hole precursors, using the Horizon Wave-Function approach.

Findings

Poles have a well-defined gravitational radius when modeled with a Breit-Wigner distribution.

Probability that the resonance is inside its gravitational radius is about 50%.

Results support the interpretation of these poles as black hole precursors.

Abstract

We study the properties of the poles of the resummed graviton propagator obtained by resumming bubble matter diagrams which correct the classical graviton propagator. These poles have been previously interpreted as black holes precursors. Here, we show using the Horizon Wave-Function formalism that these poles indeed have properties which make them compatible with being black hole precursors. In particular, when modeled with a Breit-Wigner distribution, they have a well defined gravitational radius. The probability that the resonance is inside its own gravitational radius, and thus that it is black hole, is about one half. Our results confirm the interpretation of these poles as black hole precursors.