2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216730In this paper it is shown that an equivalent to the complex Klein-Gordon equation can be obtained from the (2+3) dimensional Einstein equations coupled to a conserved energy momentum tensor. In an explicit toy model we give matching conditions for what corresponds to the phase, the amplitude, and the mass of the complex wave function.6 pages, no figuresQuantum PhysicsGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theorytext