Quasinormal modes and horizon area quantisation in Loop Quantum Gravity

TL;DR

This paper links black hole quasinormal modes to horizon area quantization in Loop Quantum Gravity, showing that the area quantum matches the LQG prediction for specific parameters, supporting the theory's consistency.

Contribution

It demonstrates a connection between quasinormal mode spectra and the quantum of horizon area in Loop Quantum Gravity, aligning the Barbero-Immirzi parameter with entropy calculations.

Findings

The area quantum matches the LQG area gap for high overtones.

The Barbero-Immirzi parameter is approximately √3/6.

Results support the consistency of LQG with black hole spectroscopy.

Abstract

It is argued that the quantum of area between consecutive, high overtones quasinormal modes of a black hole horizon coincides with the area gap predicted by Loop Quantum Gravity, as long as the horizon is isolated and the Barbero-Immirzi parameter is $\gamma \approx \sqrt{3}/6$, in agreement with the value derived from the Bekenstein-Hawking horizon entropy.