
The Universal Model Framework (UMF) posits that prime-indexed fractals at the Planck scale encode spacetime, forces, and information. Here a consolidated synthesis of fifteen UMF modules is presented. Key outcomes include: (i) an information mass mbit = kBT ln 2/c2 consistent with Vopson’s mass–energy–information equivalence; (ii) a prime cross of form 6n±1 generating a Sierpi´nski lattice with fractal dimension Dq ≃ 1.63; (iii) an entropy–area law S = −κMA/ℏc predicting gravity as an entropic force; (iv) a prime-modulated Higgs excitation yielding test resonances at 541 and 809 GeV; (v) proton–neutron Monte Carlo on a 30 × 30 Planck lattice producing a robust 83:17 neutron excess under prime-resonant binding. Blind anti-confirmation tests demonstrate that prime alignment of CMB peaks (ℓ = 223, 541, 809) and of LIGO strain resonances at 541 Hz and 809 Hz is reproduced in randomised controls with probability p < 0.002. The study integrates SEAT quantum-gravity thermodynamics and Neukart’s GID prime search, framing all fundamental interactions as emergent expressions of an arithmetical Logos. Testable predictions for Euclid void radii, NV-centre coherence, and high-field LHC scans are outlined. 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.
UMF, Universal Model Framework, Mathematical cosmology, Fractal physics, Fundamental constants, Number theory in physics
UMF, Universal Model Framework, Mathematical cosmology, Fractal physics, Fundamental constants, Number theory in physics
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