The spectrum of quantum black holes and quasinormal modes

TL;DR

This paper explores the quantum spectrum of black holes, linking quantum transitions to classical quasinormal modes, and discusses implications for black hole entropy and loop quantum gravity.

Contribution

It introduces the spectrum of quantum black hole transitions and connects them with quasinormal modes, providing insights into black hole entropy calculations.

Findings

Evidence for higher order quantum transitions in quasinormal mode spectrum

A proposed correspondence principle between quantum transitions and classical ringing modes

Explanation for the Immirzi parameter setting in loop quantum gravity

Abstract

The spectrum of multiple level transitions of the quantum black hole is considered, and the line widths calculated. Initial evidence is found for these higher order transitions in the spectrum of quasinormal modes for Schwarzschild and Kerr black holes, further bolstering the idea that there exists a correspondence principle between quantum transitions and classical ``ringing modes''. Several puzzles are noted, including a fine-tuning problem between the line width and the level degeneracy. A more general explanation is provided for why setting the Immirzi parameter of loop quantum gravity from the black hole spectrum necessarily gives the correct value for the black hole entropy.