2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50128Simple considerations about the fractal characteristic of the quantum-mechanical path give us the opportunity to derive the quantum black hole entropy in connection with the concept of fractal statistics. We show the geometrical origin of the numerical factor of four of the quantum black hole entropy expression and the statistics weight appears as a counting of the quanta of geometry.latex, 6 pages, remark addedHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyQuantum Physicstext