2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148833A recently-developed theory of quantum general relativity provides a propagator for free-falling particles in curved spacetimes. These propagators are constructed by parallel-transporting quantum states within a quantum bundle associated to the Poincare frame bundle. We consider such parallel transport in the case that the spacetime is a classical Robertson-Walker universe. An explicit integral formula is developed which expresses the propagators for parallel transport between any two points of such a spacetime. The integrals in this formula are evaluated in closed form for a particular spatially-flat model.Plain TeX, 17 pages. Updated version contains additional background material and a couple of minor correctionsGeneral Relativity and Quantum Cosmologytext