A perspective on Black Hole Horizons from the Quantum Charged Particle

Spanish Relativity Meeting: almost 100 years after Einstein's revolution

Jaramillo, José Luis^1

Université de Bretagne Occidentale, Brest, France^1

关键词: Analyticity;    Black holes;    Fine structure constants;    Mathematical relation;    Qualitative aspects;    Spectral characterization;    Spectral problem;    Spectral properties;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/600/1/012037/pdf
DOI  :  10.1088/1742-6596/600/1/012037

来源: IOP

【 摘 要 】

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 spinorialtreatment of apparent horizon (MOTS-)stability and to the introduction of semiclassicaltools to explore some of the qualitative aspects of this black hole spectral problem.