Universal Model Framework: From Prime-Weighted Galactic Eigenmodes to Multi-Scale Empirical Validation Marco Gericke Information Physics Institute, Hamburg, Germany marcogericke54@googlemail.com October 2025 Abstract We present theoretical derivation and multi-scale empirical validation of the Uni- versal Model Framework (UMF), demonstrating that prime-indexed fractal infor- mation lattices govern physical phenomena from stellar oscillations to cosmological structure. Beginning with five distinction-logic axioms, we derive a prime-weighted Lagrangian whose discrete symmetry protection explains the Milky Way’s Great Wave—a ∼10–20 kpc vertical corrugation with 150–200 pc amplitude persisting over timescales τ prot ≃ 8–15 Gyr. Analysis of 15,021 Gaia DR3 Cepheids, 470,000 stellar parameters, 2.5 million chemical abundances (GALAH DR3, APOGEE DR17), and 11.4 million cosmic objects yields 78% validation success (65 of 83 tests) after FDR correction. Pre-registered primary endpoints achieve combined significance: Great Wave parameters (B = 43.7), black hole mass log-periodic modulation (p< 10 −12 af- ter accounting for measurement uncertainties), and CMB prime multipole enhance- ments (p global =0.008). Key findings: (i) stellar parameter Hausdorff dimension D H =1.609 ± 0.024 (1.5% from prediction); (ii) chemical abundance Farey approx- imations (100% validation); (iii) combined Bayes factor B = 100.7 favoring UMF over ΛCDM. The convergence across thirteen orders of magnitude provides strong empirical support for prime-lattice quantization as a framework unifying quantum mechanics, stellar evolution, galactic dynamics, and cosmological structure. 1 Introduction The search for fundamental organizational principles underlying physical reality remains central to theoretical physics. While quantum field theory successfully describes particle interactions and general relativity governs gravitational dynamics, their unification and the emergence of observed cosmic structure from fundamental principles remain elusive. Recent advances suggest physical law may emerge from computational substrate rather than continuous field manifolds (7; 6; 8). 1