Black holes by analytic continuation

TL;DR

This paper uses analytic continuation in a 2D quantum gravity model to explore black hole evaporation, suggesting black holes radiate only a finite energy and may resolve the information loss paradox.

Contribution

It introduces a novel analytic continuation method in a 2D model to study quantum black hole dynamics and radiation, offering new insights into black hole stabilization and information retention.

Findings

Black holes radiate finite Planck-scale energy and stabilize.

Outgoing radiation spectrum deviates from Hawking's prediction at high frequencies.

The approach offers a potential solution to the black hole information paradox.

Abstract

In the context of a two-dimensional exactly solvable model, the dynamics of quantum black holes is obtained by analytically continuing the description of the regime where no black hole is formed. The resulting spectrum of outgoing radiation departs from the one predicted by the Hawking model in the region where the outgoing modes arise from the horizon with Planck-order frequencies. This occurs early in the evaporation process, and the resulting physical picture is unconventional. The theory predicts that black holes will only radiate out an energy of Planck mass order, stabilizing after a transitory period. The continuation from a regime without black hole formation --accessible in the 1+1 gravity theory considered-- is implicit in an S-matrix approach and suggests in this way a possible solution to the problem of information loss.