The Universal Model Framework: A Comprehensive Prime-Fractal Foundation for Physics and Chemistry

The Universal Model Framework (UMF) presents a unified approach that grounds physical reality in a prime-indexed fractal lattice at the Planck scale. It demonstrates how the fundamental forces, atomic structure, nuclear chemistry, and physical constants emerge not from continuous geometry but from number-theoretic arithmetic, fractal recursion, and modular symmetries. This framework incorporates holographic principles, information theory, and mathematical formalism to deliver testable predictions across quantum mechanics, cosmology, and chemical modeling—eliminating the need for extra dimensions or arbitrary parameters. Key results include the prediction of isotopic stability through Pascal-prime mappings, the reproduction of the 83:17 proton–neutron ratio, prime-induced gravitational wave sidebands (541 Hz, 809 Hz), and the derivation of coupling constants from decimal-fractal anomalies. This synthesis repositions number theory as the ontological foundation of modern physics. 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.