The Higgs Boson in the Universal Model Framework: A Prime-Modulated Fractal Approach

This paper presents a reinterpretation of the Higgs field as a prime-modulated fractal excitation within the Universal Model Framework (UMF). Incorporating prime number density and fractal geometric principles, we develop a mathematically consistent extension to the Standard Model that addresses the hierarchy problem while preserving observed Higgs properties. Our model predicts additional Higgs-like resonances at specific energy scales set by UMF prime harmonics, introduces a novel dark matter portal coupling, and offers new implications for inflationary cosmology. The UMF framework maintains all successful features of the Standard Model while introducing subtle, prime-modulated corrections that yield concrete, testable predictions for future collider and cosmological experiments. 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.