Universal Model Framework (UMF) Complete 36-Test Validation Audit Version 4.0 — Enhanced with Empirical Computational Foundation

The Universal Model Framework (UMF) represents a prime-fractal unified theory deriving physical reality from a recursive informational substrate. UMF proposes an "ontic cascade" flowing from pure Potential (P) through five Distinction Axioms (P, D, R, I, V) to prime-indexed operators χₚ(μ,ξ), which modulate a fractal information geometry. This structure generates a prime-weighted Lagrangian L_UMF = Σₚ wₚ(ξ)Fₚ(φ,∂φ), whose renormalization group (RG) flow produces observable physical constants as stable fixed points.

This audit documents the most comprehensive validation program ever applied to a prime-fractal unified theory: 36 independent renormalization group tests spanning perturbative quantum field theory (QFT), non-perturbative methods, symmetry verification, unitarity checks, phenomenological predictions, and novel theoretical extensions.

• 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.