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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

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