Modelling quantum black hole

TL;DR

This paper models quantum black holes using singular potentials that produce bound states matching black hole properties, offering insights into horizon mechanisms and radiation rates.

Contribution

It introduces a novel approach to modeling black holes with singular potentials that replicate key black hole features and horizon dynamics.

Findings

Bound states match expected black hole characteristics

Singular potentials effectively model horizon membrane mechanisms

Radiation rates can be tuned via expanding boundary simulations

Abstract

Novel bound states are obtained for manifolds with singular potentials. These singular potentials require proper boundary conditions across boundaries. The number of bound states match nicely with what we would expect for black holes. Also they serve to model membrane mechanism for the black hole horizons in simpler contexts. The singular potentials can also mimic expanding boundaries elegantly, there by obtaining appropriately tuned radiation rates.