On the Kerr Quantum Area Spectrum

TL;DR

This paper investigates the quantum spectrum of black hole horizon areas, proposing a refined approach to determine a universal spectral form for Kerr and Schwarzschild black holes based on their oscillation frequencies.

Contribution

It introduces a key modification to existing models, resolving previous inconsistencies and establishing a universal quantum area spectrum for rotating and non-rotating black holes.

Findings

Rectifies prior inconsistency in Kerr spectrum calculations

Establishes a universal form for black hole quantum spectra

Links spectral spacing to black hole oscillation frequencies

Abstract

Suppose that there is a quantum operator that describes the horizon area of a black hole. Then what would be the form of the ensuing quantum spectrum? In this regard, it has been conjectured that the characteristic frequencies of the black hole oscillations can be used to calibrate the spacing between the spectral levels. The current article begins with a brief review of this conjecture and some of its subsequent developments. We then suggest a simple but vital modification to a recent treatment on the Kerr (or rotating black hole) spectrum. As a consequence of this refinement, we are able to rectify a prior inconsistency (as was found between two distinct calculations) and to establish, unambiguously, a universal form for the Kerr and Schwarzschild spectra.