A perspective on Black Hole Horizons from the Quantum Charged Particle
Abstract
Black hole apparent horizons possess a natural notion of stability, whose spectral characterization can be related to the problem of the stationary quantum charged particle. Such mathematical relation leads to an "analyticity conjecture" on the dependence of the spectral properties on a complex "fine-structure-constant" parameter, that can reduce the study of the spectrum of the (non-selfadjoint) MOTS-stability operator to that of the (selfadjoint) Hamiltonian of the quantum charged particle. Moreover, this perspective might open an avenue to the spinorial treatment of apparent horizon (MOTS-)stability and to the introduction of semiclassical tools to explore some of the qualitative aspects of this black hole spectral problem.
Keywords
Cite
@article{arxiv.1608.05963,
title = {A perspective on Black Hole Horizons from the Quantum Charged Particle},
author = {José Luis Jaramillo},
journal= {arXiv preprint arXiv:1608.05963},
year = {2016}
}
Comments
6 pages, no figures, contribution to the proceedings volume of the Spanish Relativity Meeting ERE2014: "Almost 100 years after Einstein Revolution", Valencia, Spain, 1-5 September 2014