# χ-matter verification scripts (DFD v4.0, Appendix AV)

Reproducibility bundle for the new **χ-matter** appendix (App. AV) and the
third-peak resolution edits. Python 3, standard library only unless noted.
The corpus's own reproducibility scripts live separately in `../scripts/`.

## Canonical check (run this first)
- **`chi_matter_verify.py`** — reproduces EVERY number in App. AV from
  α and the Planck mass alone: f_χ = M̄_P α³ = 9.46×10¹¹ GeV; m_χ = √158 M̄_P α¹³
  = 5.09 eV; Ω_χh² = 1.62 θ_i² → θ_i = 0.27 for 0.12; g_χγ = 1.23×10⁻¹⁵ GeV⁻¹;
  λ = 243 nm; τ ≈ 7×10³² s.

## Derivation checks (the d=3 / α³ branch)
- `chi_derivation.py`, `chi_spectral.py` — χ = Cartan/Chern–Simons 3-form on
  S³=SU(2); gauge-adjoint dim d_χ = dim sl(2,ℂ) = 3.
- `chi_theorem_test.py` — exponent test: only d=3 (→ 5 eV, Ω≈0.12) gives dark
  matter; d=5 (→ 96 keV) gives Ω≈10⁻⁷ (rejected).
- `grand_computation.py` — Lemma O.4 per-mode Gaussian determinant = α^d
  (the λ-cancellation), verified to 8 digits.
- `chi_partition.py`, `chi_16_routes.py`, `chi_final_check.py` — abundance-route
  and energy-partition cross-checks.
- `chi_inst.py`, `chi_inst2.py` — instanton/non-perturbative mass-lift checks.
- `abundance.py` — standalone misalignment relic-density calculation.

## Third-peak target & closed-route ledger (the case that χ is required)
- `camb_baseline.py` — CAMB: baryon-only [1,0.39,0.205] @ ℓ=294/771/1212 vs
  ΛCDM/Planck [1,0.45,0.44] @ 220/536/813. The Ω≈0.12 cold target.
- `silk_test.py` — Silk damping alone reaches only H₃/H₁=0.38 < 0.44 (insufficient).
- `feeding_v2.py` — deep-MOND resonant feeding is destructive (×0.80–0.88).

**Grade:** every quantity is **Derived (Higgs-parity)** — conditional on the
two tower-wide conventions (plateau cutoff, g²=α) plus one O(1) misalignment
angle. Not "A+". See App. AV, Remark (Honest grade).
