2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148858A stochastic theory of gravity is described in which the metric tensor is a random variable such that the spacetime manifold is a fluctuating physical system at a certain length scale. A general formalism is described for calculating probability densities for gravitational phenomena in a generalization of general relativity (GR), which reduces to classical GR when the magnitude of the metric fluctuations is negligible. Singularities in gravitational collapse and in big-bang cosmology have zero probability of occurring. A model of a self-organized critical universe is described which is independent of its initial conditions.8 pages RevTex. Talk given at the XXXIInd Rencontres de Moriond, Les Arcs, France, January, 1997General Relativity and Quantum CosmologyHigh Energy Physics - PhenomenologyStochastic Gravity and Self-Organized Critical Cosmologytext