Hawking radiation and the Bloom-Gilman duality

TL;DR

This paper explores a duality between perturbative and non-perturbative descriptions of quantum black hole precursors, linking their decay widths to Hawking radiation and deriving relations involving particle species and gravity's renormalization scale.

Contribution

It introduces a novel duality analogy with Bloom-Gilman duality, connecting black hole precursor decay widths to Hawking decay and deriving related general relations.

Findings

Decay widths match Hawking decay lifetimes

Derived relations between pole properties and particle species

Established a duality analogy with strong interaction phenomena

Abstract

The decay widths of the quantum black hole precursors, determined from the poles of the resummed graviton propagator, are matched to the expected lifetime given by the Hawking decay. In this way, we impose a sort of duality between a perturbative description and an essentially non-perturbative description, bearing some similarity with the Bloom-Gilman duality for the strong interactions. General relations are then obtained for the widths and masses of the poles in terms of the number of particle species and the renormalisation scale of gravity.