2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50107The physical meaning, the properties and the consequences of a discrete scalar field are discussed; limits for a continuous mathematical description of fundamental physics is a natural outcome of discrete fields with discrete interactions. The discrete scalar field is ultimately the gravitational field of general relativity, necessarily, and there is no place for any other fundamental scalar field, in this context.18pages 1 eps figure, typos and other minor correctionsHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyHigh Energy Physics - PhenomenologyMathematical PhysicsDiscrete scalar fields and general relativitytext