Computational Validation of Emergent Relativity from Prime-Indexed Information Geometry: Complete v5.0 Update with Kinematic General Relativity Achievement and Framework Coherence Analysis

Version 5.1 marks a major milestone in the development of the Universal Model Framework (UMF). Following the full validation of kinematic General Relativity in v5.0, this update introduces the first complete dynamical foundations derived directly from the discrete prime‑indexed substrate:• a fully gauge‑invariant discrete gravitational action,• an emergent geodesic equation derived from a phase‑stationary principle,• and a unified dynamical evolution pipeline integrating matter, gauge fields, holonomy, and geometry.With these additions, Gap #2 (Dynamics) is now partially closed. This project was developed by Marco Gericke, with structured assistance from a large language model. All scientific concepts and conclusions were generated, verified, and interpreted by the author. Dedicated to Peter Plichta, who envisioned the code before it could be computed.