2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/205410We clarify the role played by the Immirzi parameter in classical gravity coupled to fermions. Considering the general non-minimal coupling, we show that, although the torsion depends explicitly on the Immirzi parameter, in a suitable parametrization the effective action obtained by integrating out the spin-connection is independent of it. Thus the Immirzi parameter is not detectable in classical theory even after coupling of fermions.4 pagesGeneral Relativity and Quantum Cosmologytext