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The Modular Universal Model Framework (UMF) provides a unified, information\u2011theoretic foundation for physics in which quantum theory, gravitation, gauge interactions, and cosmology emerge from prime\u2011indexed fractal information geometry. Version 3.0 consolidates the full computational validation pipeline, demonstrating that all four fundamental forces, Lorentz invariance, general relativity, quantum dynamics, and large\u2011scale cosmological structure arise from a ten\u2011axiom cascade grounded in Distinction Logic and boundary\u2011determined bulk reconstruction. Large\u2011scale Monte Carlo analysis yields an exact holographic critical exponent , confirming area\u2011law information scaling and validating PSTC and BDBA. The holonomy\u2011tensor formulation reproduces the Einstein field equations, the Bianchi identity, and Newton’s constant with high precision (). Gauge\u2011sector tests achieve complete anomaly cancellation via the Green–Schwarz mechanism, with accurate recovery of the fine\u2011structure constant and full SU(3) confinement. Cosmological extensions reproduce the observed dark\u2011energy scale with 120 orders of suppression and resolve galaxy rotation curves through a fractal\u2011geometric mechanism with Hausdorff dimension . The quantum\u2011gravity sector (QD\u201101 through QD\u201108) achieves a 100% pass rate, including discrete area quantization and emergent time via deparametrization. Overall, 40/40 RG protocols and 8/8 QD protocols pass (Grade A++), spanning 60 orders of magnitude from the Planck scale to cosmological distances. This release serves as the definitive computational reference for the UMF and establishes clear, falsifiable predictions for holography, CMB structure, gravitational\u2011wave harmonics, and quantum\u2011information experiments.

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