English

On the Kerr Quantum Area Spectrum

General Relativity and Quantum Cosmology 2008-11-26 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.0804.4346,
  title  = {On the Kerr Quantum Area Spectrum},
  author = {A. J. M. Medved},
  journal= {arXiv preprint arXiv:0804.4346},
  year   = {2008}
}

Comments

Roughly 8 pages; (v2) added references and very minor changes

R2 v1 2026-06-21T10:35:05.793Z