2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34600We show that the cosmological large number coincidence can be interpreted as giving the filling factor in a Landau problem. The analogy with the Landau problem leads naturally to the noncommutativity of the gravitational and matter degrees of freedom. We present a toy model that supports this view. We discuss some of the physical consequences this noncommutativity implies, like a different insight into the semiclassical approximation of quantum gravity and a different tackling of the cosmological constant problem.LATEX, 7 pages, one AppendixGeneral Relativity and Quantum Cosmologytext