Entropy calculation for a toy black hole

TL;DR

This paper presents an exactly solvable toy model for black hole entropy in loop quantum gravity using an equidistant area spectrum, serving as a simplified laboratory to explore the full theory.

Contribution

It introduces a solvable toy model with an equidistant area spectrum that mimics the behavior of the full loop quantum gravity black hole model.

Findings

Toy model is exactly solvable

Model behavior closely resembles the full theory

Provides a simplified framework for studying black hole entropy

Abstract

In this note we carry out the counting of states for a black hole in loop quantum gravity, however assuming an equidistant area spectrum. We find that this toy-model is exactly solvable, and we show that its behavior is very similar to that of the correct model. Thus this toy-model can be used as a nice and simplifying `laboratory' for questions about the full theory.