A perspective on black hole horizons from the quantum charged particle

The London Relativity and Cosmology Seminar
Jose Luis Jaramillo
December 3rd, 2014 at 16:30
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We point out a structural similarity between the characterization
of black hole apparent horizons as stable marginally outer trapped
surfaces (MOTS) and the quantum description of a non-relativistic
charged particle moving in given magnetic and electric fields on a
closed surface. Specifically, the MOTS-spectral problem corresponds to
a stationary quantum particle with a formal fine-structure constant
$\alpha$ of negative sign. Such analogy may provide clues to the study
of the spectrum of the (non-selfadjoint) MOTS-stability operator
in comparison with 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 the black hole spectral problem. - Room G. O. Jones 516