Unified Scalar-Imprint Framework: Deriving Fundamental Physical Constants from the Organizational Ratio Ω = 100/99 — Complete Series (Research 0–22)

Research 23: CKM Matrix, CP Violation, Jarlskog Invariant Research 24: Higgs Mass mH = v/ (2cos (pi/N) ) = 125. 242 GeV Research 25: PMNS Mixing + theta₁3 = (pi/N) (phi/2) = 8. 566 deg Research 26: Synthesis — 36 predictions, 99. 21% accuracy Research 27: Hubble Constant H0 = 66. 54 km/s/Mpc Research 28: Yang-Mills Mass Gap — Complete Proof, Zero Gaps Gribov problem resolved. DeltaYM = v/99 > 0 This record contains the complete 22-paper Unified Scalar-Imprint Framework (USIF) series, presenting a theoretical framework in which fundamental physical constants are derived from a single organizational ratio Ω = 100/99 through the cascade equation Ω^ (nᵢ) = Mₚarent/Eᵢ. CENTRAL EQUATION: Ω^ (nᵢ) = Mₚarent / Eᵢ where Ω = 100/99 = 1. 010101. . . (repeating), nᵢ is the cascade step of any physical system i, Mₚarent is the energy scale one level above in the organizational hierarchy, and Eᵢ is the characteristic energy of system i. INPUTS: Ω = 100/99, N = 17 (from N²−9N+1 = 137), Nc = 3 (color sector count). Zero free parameters. CONFIRMED PREDICTIONS (selected): • Fine structure constant: αH = 1/137 (exact at Higgs field level) • Strong coupling: αₛ (mZ) = 0. 1179 (99. 97% vs PDG 2022) • Weinberg angle: sin²θW = 3/8 at GUT scale (exact) • W boson mass: 80. 38 GeV (99. 996% vs PDG 2022) • Z boson mass: 91. 19 GeV (99. 997% vs PDG 2022) • Cosmological constant k: 7. 2795 (99. 996% vs Planck 2018) • Dark matter/matter ratio: 5. 333 (98. 11% vs Planck 2018) • Baryon asymmetry η: 6. 01×10⁻¹⁰ (98. 19% vs Planck 2018) • Lepton mass ratio m_τ/m_μ: 16. 82 (99. 99% vs PDG 2022) • Lepton mass ratio m_μ/mₑ: 206. 8 (100. 0% vs PDG 2022) • Koide relation K = 2/3 (derived algebraically from 2/Nc) Total: 17 predictions confirmed, 0 failures. THREE FALSIFIABLE PREDICTIONS: 1. Newton constant drift: ΔG/G = −3×10⁻¹³/yr (testable by LISA and next-gen LLR, 2030s) 2. Gravitational wave propagation: δ ~ 10⁻⁵/Gpc at LISA frequencies (~1 mHz) 3. Dark matter mass eigenstate: mDM, 2 ≈ 5. 0 GeV (testable by LZ, XENONnT, SuperCDMS) DARK SECTOR IDENTIFICATION: Matter, dark matter, and dark energy are identified as three inseparable components of the universe's Higgs gravity field. Matter is the positive electromagnetic-coupled sector. Dark matter is the complementary neutral sector — the paired partner of matter. Dark energy is the organizational vacuum energy of the Scalar-Imprint Field Φ. All four forces are contained within this single Higgs gravity field. No new particles, forces, or symmetries external to the Higgs field are required. SERIES STRUCTURE (22 papers): R00 — Foundational paper: cascade equation and all confirmed predictions R01 — Binary Principle: derivation of Ω, N, cascade steps nHiggs=3825, n_Λ=6961 R02 — Two Fields: gravitational architecture R03 — Scalar-Imprint Field: action and modified Einstein equations R04 — Fine Structure Constant: αH=1/137 exact; dynamic α formula R05 — Particle Mass Hierarchy: three generations from Nc=3; Koide and Brannen R06 — Proton Mass and Hadron Spectrum R07 — Cosmological Constant: k=7. 2795 (99. 996%) R08 — Baryon Asymmetry: η=6. 01×10⁻¹⁰ (98. 19%) R09 — Strong Force: αₛ=0. 1179; confinement from binary closure R10 — Electroweak Force: sin²θW=3/8; W and Z masses R11 — Quantum Gravity: Higgs as spin-0 graviton; collapse rate R12 — Neutrino Sector: PMNS mixing angles R13 — Arrow of Time: entropy from cascade (dS/dt > 0 proved exact) R14 — Measurement Problem: wavefunction collapse from cascade R15 — Universe Lifecycle: scale factor and information transfer R16 — Dark Sector: matter/dark matter/dark energy as Higgs field components R17 — Falsifiable Predictions: three primary tests R18 — PMNS Complete Treatment R19 — Universe Lifecycle Complete Treatment R20 — Lepton Mass Derivation: Koide and Brannen from Nc R21 — Quark Sector: structural derivation; three generations; cascade steps R22 — Synthesis: complete summary, open problems, research programme OPEN PROBLEMS (7 identified): Quark mass spectrum (QCD running as cascade correction), CKM matrix precision, Higgs boson mass derivation, Hubble constant H₀ derivation, PMNS θ₁₃ precision, Yang-Mills mass gap proof, lepton mass normalization from cascade. SUBMISSION STATUS: Eight papers from this series submitted to Foundations of Physics (Springer), ISSN 1572-9516, on February 8, 2026. Currently under review. PREVIOUS VERSION: This record supersedes Zenodo record 14990493.