2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/200783In 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.18 pages, 4 figures. v2: Corrected mistake in bibliography, added appendix with further resultsGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryMathematical Physicstext