A note on black hole entropy, area spectrum, and evaporation

TL;DR

This paper proposes a model where black hole entropy arises from fuzzy space microstates, leading to a discrete area spectrum and less entropic radiation during evaporation, suggesting potential information recovery.

Contribution

It introduces a fuzzy space model to explain black hole entropy, deriving the Bekenstein-Hawking formula and a discrete area spectrum with implications for information retrieval.

Findings

Derives Bekenstein-Hawking entropy from fuzzy space microstates

Predicts a discrete, increasingly spaced area spectrum for black holes

Shows black hole radiation becomes less entropic during evaporation

Abstract

We argue that a process where a fuzzy space splits in two others can be used to explain the origin of the black hole entropy, and why a "generalized second law of thermodynamics" appears to hold in the presence of black holes. We reach the Bekenstein-Hawking formula from the count of the microstates of a black hole modeled by a fuzzy space. In this approach, a discrete area spectrum for the black hole, which becomes increasingly spaced as the black hole approaches the Planck scale, is obtained. We show that, as a consequence of this, the black hole radiation becomes less and less entropic as the black hole evaporates, in a way that some information about its initial state could be recovered.