2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34333We continue recent work and formulate the gravitational vacuum Einstein equations over a locally finite spacetime by using the basic axiomatics, techniques, ideas and working philosophy of Abstract Differential Geometry. The whole construction is `fully covariant', `inherently quantum' (both expressions are analytically explained in the paper) and genuinely smooth background spacetime independent.133 pages, revised and slightly corrected final versionGeneral Relativity and Quantum CosmologyMathematical Physicstext