2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33867We show that the normalized Lorentzian state sum is finite on any triangulation. It thus provides a candidate for a perturbatively finite quantum theory of general relativity in four dimensions with Lorentzian signature.11 pages, 3 picturesGeneral Relativity and Quantum CosmologyA finiteness proof for the Lorentzian state sum spinfoam model for quantum general relativitytext