Prime-Fractal Ontology of Bosons and Baryons: Higgs Subresonances, Gauge Field Unification, and the 83 : 17 Ratio within the Universal Model Framework

This paper develops the bosonic and baryonic sectors of the Universal Model Framework (UMF), a prime-indexed fractal theory of fundamental physics. We show that both Higgs bosons and gauge fields emerge from discrete prime-lattice symmetries, predicting subresonances at 541, 809, and 1260 GeV. A unified Lagrangian is formulated, embedding modular gauge curvature and informational entropy. The canonical 83:17 proton–neutron ratio is derived from Euler quadrature on the Prime Number Cross (PNC), and dark matter is reinterpreted as prime-defect structures. The work bridges number theory, particle physics, and quantum gravity, offering falsifiable predictions for LHC, LIGO, and CMB 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.