2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172403We propose a mathematically concrete way of modelling the suggestion that in quantum gravity the spacetime disappears, replacing it with a discrete approximation to the causal path space described as an object in a model category. One of the versions of our models appears as a thickening of spacetime, which we interpret as a formulation of relational geometry. Avenues toward constructing an actual quantum theory of gravity on our models are given a preliminary exploration.19 pages latexGeneral Relativity and Quantum Cosmologytext