2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36308An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each two-dimensional face in the 4-simplex. The asymptotic formula has a contribution from each flat Euclidean metric on the 4-simplex which agrees with the given areas. The oscillatory part of each contribution is determined by the Regge calculus Einstein action for that geometry.5 pages amstex, typos correctedGeneral Relativity and Quantum Cosmologytext