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feat(phd): Lane C — Physics constants + methodology (Ch.16–21, App.A, App.G) #44

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🎯 Goal

Write all physical constants chapters and statistical methodology.

Parent epic: #30
Lane: C — Physics + Data
Depends on: #41 (Lane A scaffold)


📂 Chapters

Ch.16 — Golden Current (EM Sector)

  • Fine-structure constant α ≈ 1/137.036
  • Sommerfeld 1916 naming parallel
  • Sherbon golden geometry connection
  • Heyrovská golden ratio α
  • Dirac large numbers hypothesis
  • Feynman “magic number”
  • Philosophical: Pauli’s obsession with 137

Ch.17 — Golden Wave (Weak Sector)

  • Weinberg angle θ_W ≈ 28.75°
  • SU(2)×U(1) breaking
  • Z/W boson masses from φ-expressions
  • Higgs mechanism + vev
  • CP violation, Sakharov conditions
  • Cite: Weinberg-Salam 1967

Ch.18 — Golden Fire (QCD) — CENTRAL RESULT

  • Theorem 2 (GF16 α_φ Deviation): φ − 3/2 = 0.118034 ≈ α_s(mZ)
  • PDG 2024 world-average: α_s(mZ) = 0.1180 ± 0.0009, Δ < 0.03σ
  • Asymptotic freedom (Gross-Politzer-Wilczek Nobel 2004)
  • QCD confinement, Λ_QCD
  • Lattice QCD approach
  • Sacred geometry: fire as transformation element
  • Source: crates/trios-sacred/src/sacred/expanded_v2.zig QCD sector

Ch.19 — Golden Stars (Cosmology)

  • Λ cosmological constant, H₀ Hubble tension
  • Ω_Λ, Ω_M from φ-expressions
  • Planck 2018 data
  • Einstein 1917 “biggest blunder”, Perlmutter-Riess-Schmidt Nobel 2011
  • Dark energy as φ-modulated vacuum

Ch.20 — Golden Matter (Particle Masses & Mixing)

  • 12 fermion masses, CKM matrix, PMNS matrix
  • Koide 1981 lepton mass formula
  • CP phase δ_CP
  • Neutrino oscillations (Kajita-McDonald Nobel 2015)
  • JUNO 2026–2027 falsification test
  • Source: expanded_v2.zig particle sector

Ch.21 — Golden Scales (Methodology)

  • Theorem 3 (Banks-Zaks Falsifiability): α_BZ(N_f=12) = 0.754 ≠ φ⁻³/2
  • Monte Carlo: 10⁵ permutation trials, p < 0.001
  • Look-elsewhere effect: exact discrete correction
  • Zero-free-parameter constraint: only {φ, π, e, integer exponents}
  • Table of 8 strongest formulas vs CODATA 2022 (required by acceptance criteria)
  • Popper/Kuhn/Lakatos philosophical interlude
  • Source: CHARTER.md, paste.txt §5

Appendix A — Golden Catalogue

  • Full 42+ formula longtable
  • Columns: formula, expression, numerical value, CODATA/PDG reference, relative error, φ-derivation
  • Source: expanded_v2.zig (280+ formulas, select 42 strongest)

Appendix G — Golden Data

  • PDG 2024 raw pulls
  • CODATA 2022 reference values
  • Planck 2018 parameters

✅ Acceptance criteria

  • Ch.18 contains Theorem 2 with 0.03σ calculation
  • Ch.21 contains Theorem 3 with p-value and Banks-Zaks
  • Table of 8 strongest formulas vs CODATA 2022 in Ch.21
  • App.A has ≥42 formula longtable
  • All citations: PDG 2024, CODATA 2022, Planck 2018, Gross et al. 2004
  • NO .sh files
  • Branch: feat/phd-physics-data
  • Commit: feat(phd): Lane C physics+data refs #30 closes #44

📊 Sync

Before starting, post in #30:
🔒 AGENT [name] CLAIMING: Lane C Physics+Data | Branch: feat/phd-physics-data | Status: IN PROGRESS

refs #30

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