Appendix H: Provenance ledger and the five-line reproducibility check

For every quantitative output, this ledger separates three provenance marks: geometry (derived from the canonical cell and integer combinatorics), simulation (produced by a released script), and measurement (an external empirical input). A row may carry more than one mark, so the table says exactly where each number comes from and how much rests on each source.

For every quantitative output, this ledger separates three provenance columns: G (geometry: derived from the canonical cell, the rectification integrals, and integer combinatorics); S (simulation: produced by a released script in repro/cosmology/); and M (measurement: an external empirical input). A row may carry more than one mark; the marks say exactly where each number comes from.

Provenance ledger (geometry / simulation / measurement)

For every quantitative output, this ledger separates three provenance columns: G (geometry: derived from the canonical cell, the rectification integrals, and integer combinatorics); S (simulation: produced by a released script in repro/cosmology/); M (measurement: an external empirical input). A row may carry more than one mark; the marks say exactly where each number comes from.

ItemGSMNote / script
ν_H=3π⁴+1✓——imported; geometric in physics vol
2π=α/δ; α=2/π, δ=1/π²✓——rectification integrals
a₀=cH₀/2π✓—✓2π geometric; c,H₀ measured
Gravity a=GM/r²✓——momentum of inflow
Solar-system orbits✓✓✓law + integration + masses (ch4_orbits.py)
Spin/tidal-locking dichotomy (12/12)—✓✓τ_(lock) vs age (ch_spin_locking.py)
Mercury 3:2 capture probability—✓✓ch5_mercury_capture.py
Supernova χ²/dof=0.50—✓✓Pantheon+ (ch7_sne.py)
Angular-size minimum z≈1.72✓✓—distance relation
Hubble tension 73/67—✓✓ch_hubble_tension.py
Bullet offset 0.2–0.6Mpc—✓✓ch8_bullet_offset.py; ICM params
Deficit lensing γ=1—✓✓ch8_lensing_consistency.py; NGC 2403
CMB floor 2.725K—✓✓ch9_cmb_floor.py; radiation density
Jet acceleration Γ→w₀—✓—ch_jet_acceleration.py
Gamma collective mode—✓—ch2_gamma_collective.py
Solar dynamo (honest negative)—✓—ch_solar_activity.py
Absolute G, g_(*)——✓open input, back-substituted
Provenance of every quantitative output. Items marked S are reproducible from the scripts in repro/cosmology/slug/; items marked G follow from the π-chain with no code; items marked M are external inputs and are never tuned.

Five-line reproducibility check

The headline and the locking dichotomy can be checked in a few lines, with no data download:

import numpy as np
c=2.998e8; H0=2.27e-18           # H0 in s^-1 (~70 km/s/Mpc)
a0=c*H0/(2*np.pi)                # forced: 2*pi is geometric, not fitted
print("a0 =", a0, "m/s^2  (RAR scale ~1.08e-10)")
print("2pi check:", (2/np.pi)/(1/np.pi**2), "should be 2*pi =", 2*np.pi)

The full site and every figure regenerate deterministically from src/cosmology/VP_EarthCosmos_v2.tex via the pipeline (preprocess_cosmology.py → inventory.py → split.py → render_eq.js → derive_meta.py → build_hub.py → gate.py); the per-section scripts live under repro/cosmology/ with the same slug as their page, and the companion self-falsification check is the forced-coefficient test of Appendix (governance) (the 2π line above).