Unified Scalar-Imprint Framework: A Complete Derivation of the Fundamental Constants, Forces, and Cosmological Parameters of the Standard Model and Beyond from the Single Axiom Ω = 100/99 (Complete Series, Researches 1–20)

The Unified Scalar-Imprint Framework derives all fundamental constants, forces, and cosmological parameters from one axiom: Ω = 100/99. The Standard Model contains exactly N = 17 kinetic sectors. From these two facts alone, with zero free parameters, the framework derives: the fine structure constant 1/α = 137.035991 (99.9999% accuracy); the proton mass 949.2 MeV (98.84%); the baryon asymmetry η = 6.01×10⁻¹⁰ (98.19%); the dark energy ratio (99.995%); the strong coupling α_s = 0.1179 (99.97%); all three PMNS neutrino mixing angles; the W boson mass 80.38 GeV (99.99%); and the strong CP angle θ_QCD = 0 exactly. The central identity N² − 9N + 1 = 137 is exact. Four falsifiable predictions are made, testable by LISA and next-generation detectors. Complete series: 20 Research papers across 6 Chapters. Mathematical verification and scientific language editing: Claude Sonnet (Anthropic), AI Mathematical Advisor. Parallel submission: Foundations of Physics (Springer Nature), under review.