Near-Horizon States of Black Holes and Calogero Models
B Basu-Mallick, Pijush K. Ghosh, Kumar S. Gupta
TL;DR
This paper explores the connection between the quantum states near black hole horizons and the Calogero model, providing new mathematical insights into black hole quantum states.
Contribution
It introduces self-adjoint extensions of the rational Calogero model with harmonic interaction relevant for black hole near-horizon states.
Findings
Eigenfunctions describe near-horizon quantum states of black holes
New self-adjoint extensions of the Calogero model are identified
Potential implications for black hole quantum gravity theories
Abstract
We find self-adjoint extensions of the rational Calogero model in presence of the harmonic interaction. The corresponding eigenfunctions may describe the near-horizon quantum states of certain types of black holes.
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