Black Hole Thermodynamics without a Black Hole?

TL;DR

This paper proposes a quantum gravitational model of black holes that reproduces Hawking temperature and predicts a quantized entropy spectrum, offering a new perspective on black hole thermodynamics without classical horizons.

Contribution

It introduces a 'no-memory state' model of quantum black holes that aligns with classical thermodynamics and predicts entropy quantization with a specific spacing.

Findings

The model reproduces Hawking temperature exactly.

Entropy is quantized with an equidistant spectrum.

The fundamental entropy quantum is ln(2).

Abstract

In the present paper we consider, using our earlier results, the process of quantum gravitational collapse and argue that there exists the final quantum state when the collapse stops. This state, which can be called the ``no-memory state'', reminds the final ``no-hair state'' of the classical gravitational collapse. Translating the ``no-memory state'' into classical language we construct the classical analogue of quantum black hole and show that such a model has a topological temperature which equals exactly the Hawking's temperature. Assuming for the entropy the Bekenstein-Hawking value we develop the local thermodynamics for our model and show that the entropy is naturally quantized with the equidistant spectrum S + gamma_0*N. Our model allows, in principle, to calculate the value of gamma_0. In the simplest case, considered here, we obtain gamma_0 = ln(2).