Relational Actualism III: Discrete Gravity, Cosmology, and Causal Severance

Relational Actualism III develops a discrete approach to gravity and cosmology based on finite causal structure. The framework replaces smooth spacetime geometry as a primitive with a dynamically evolving causal graph and introduces causal severance, a finite graph-partition mechanism triggered by saturation of the event-formation kernel. This provides a discrete alternative to singular continuation with no close analogue in standard gravitational frameworks. Black-hole entropy, horizon structure, and large-scale cosmological phenomena are interpreted in terms of boundary counts, kernel selectivity, and sparse-regime topology. The paper includes native kernel-saturation identities, selectivity results, and graph-theoretic observables, while identifying open targets including orbital/lensing source laws and cosmological expansion modeling.