
We present a logically complete program that derives the architecture of the universe—from spacetime to quantum fields and conscious observers—using only five ultraminimal axioms of distinction logic. These axioms generate a recursively self-similar prime-loop lattice, which coarse-grains to a Lorentzian manifold satisfying the Einstein field equation. We prove convergence in the Ollivier–Ricci sense, spectral dimension Ds=4D_s = 4Ds=4, and derive Newton’s constant from microscopic loop area. Phase-coherent prime loops reproduce Yang–Mills and Dirac dynamics, and braided ribbon defects realize the full SU(3)×SU(2)×U(1) gauge algebra. Observable departures—including energy-dependent light speed and prime-indexed CMB features—bring the theory within reach of current gravitational-wave and cosmology experiments. The Universal Model Framework (UMF) thus transitions from philosophical sketch to quantitatively falsifiable 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.
UMF, Universal Model Framework, prime loops, cosmological signatures, Mathematical physics, Lorentzian manifold, Mathematical logic, Quantum physics, anomaly freedom, distinction logic, emergent gravity, Ollivier–Ricci curvature, quantum fields
UMF, Universal Model Framework, prime loops, cosmological signatures, Mathematical physics, Lorentzian manifold, Mathematical logic, Quantum physics, anomaly freedom, distinction logic, emergent gravity, Ollivier–Ricci curvature, quantum fields
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