Cosmology from the Event Density Compositional Rule

This paper derives a full cosmological history from the Event Density (ED) compositional rule, requiring no geometry, fields, or background spacetime. Treating the universe as a single finite configuration, the ED rule generates three large‑scale dynamical effects: a gradient penalty that drives an early exponential smoothing phase, a concave relational penalty that amplifies and stabilizes the small residual gradients that survive smoothing, and a boundary term that dominates in extreme regimes. High‑ED, small‑gradient initial conditions yield an inflation‑like decay of inhomogeneities; the weakening of the gradient term leaves a finite level of residual structure; concavity stabilizes long‑lived high‑ED pockets corresponding to galaxies, stars, and clusters; and slow ED outflow from these pockets reduces the global average ED density, producing an emergent analogue of cosmic expansion. At late times, gradients vanish, structures dissolve, and the boundary term induces horizon‑like behavior, yielding a thin, nearly uniform asymptotic state. Cosmology in ED thus appears not as an added assumption but as the large‑scale expression of the compositional rule itself. This is the final paper in the Physical Becoming series of the Event Density Program.