W.6 Provenance Ledger: which numbers come from where
W.6 Provenance Ledger: See §16 for the run protocol. Items marked M use only the single anchor λ_ref=632.99nm plus CODATA values of h and c.
See §16 for the run protocol. Items marked M use only the single anchor λ_ref=632.99nm plus CODATA values of h and c.
For every quantitative output, this ledger separates three provenance columns:
G (geometry: derived from canonical cell, rectification integrals, and integer combinatorics);
S (simulation: produced by the released code bundle, see AQD_DOI_bundle_unified_v0.4.0_2026-06-05.zip);
M (measurement: external empirical input).
| Item | G | S | M | Notes |
| α=2/π | ✓ | — | — | rectification integral |
| δ=1/π² | ✓ | — | — | double rectification |
| Rₚ/L_q=2/π | ✓ | — | — | continuum result |
| σ_geom/L_q²=4/π | ✓ | — | — | geometric cross-section |
| 82+7 core/shell counts | ✓ | ✓ | — | 3-sector + Legendre shell |
| mₚ/mₑ=6π⁵ | ✓ | — | — | dimensionless |
| m_H/U_lat=1/(5π) | ✓ | — | — | dimensionless coefficient |
| α_em⁻¹≈ 137.036 | — | — | ✓ | open input (measurement); the 4π(11-δ) form is a recorded coincidence, not a derivation (§14.5) |
| Lattice unit length a=6.33×10⁻¹⁹ m | — | — | ✓ | from λ_ref |
| Lattice unit time Δ t | — | — | ✓ | from a/c_ref |
| Tₑ ≈ 1s (electron 1-second) | ✓ | ✓ | — | three-fold geometry + (B) reproducible code; see §12 for the (A) full-physics path's reduced status |
| Surface gravity g_(⊕)=9.80665 m/s² | partial | partial | ✓ | cap mechanism G; absolute value M (back-substitution) |
| Coulomb K_C^(VP)=α_emħ c | — | — | ✓ | open input via αₑₘ (measurement); identity kₑ e²=αħ c, §14.5; A^(-1/2)hc superseded |
| Particle build time Tₚ | ✓ | — | — | via ν_p,can |
| ν_p,can=3π⁴=292.227 s⁻¹ | ✓ | — | — | n-fold law LOCK-NU-N (§8.0.5); length 292.24 = cross-check |
| rₚ = D_anch/(6π⁶)=0.84125 fm | ✓ | — | (✓) | predicted under LOCK-NU-N; locked 0.8412 kept as +61 ppm cross-check |
Code-bundle source mapping.
Items marked S are reproducible from AQD_DOI_bundle_unified_v0.4.0_2026-06-05.zip (deposited at this Zenodo record) via the entry points lattice_3d_jam_percolation.py, rcross_validate.py, and tools/validate_bundle.py. See §16 for the run protocol. An independent jamming-rotation verification path is mapped in §11.6.5 and lives under 02_lattice_percolation_soc/jamming_rotation_verification_v0.3/. Items marked M use only the single anchor λ_ref=632.99nm plus CODATA values of h and c.
Simulation reproduction map (S-items): which script produces which physical number.
The G/S/M ledger above marks which outputs are simulation-backed; this map gives the
granular reproduction path for each, so a reader (or an automated reviewer) can locate the exact
computed value without searching the bundle tree. All paths are relative to
02_lattice_percolation_soc/lattice_percolation_soc_bundle/ inside
AQD_DOI_bundle_unified_v0.4.0_2026-06-05.zip; each code/ script writes the named
results/ file.
| Physical output (value) | Reproduction: code/ script → results/ file | Grade |
| Jamming packing φ_jam≈0.63 (zero physical constants in input) | lattice_3d_jam_percolation.py → real3d_run_summary.json | [F] |
| Structural amplification A=a/g^*, median ≈8.0×10⁵ (p10–p90: 4.4×10⁵–2.1×10⁶) | soc_percolation_pinning.py → soc_run3_summary.json | [H] |
| Rotation length D=2πλ/A (median 4.96 pm; target 2λ_(C,e)=4.85 pm) | jamming_rotation_485pm_study.py → jamming_rotation_485pm_summary.json | [H] |
| Wave-speed c emergence (finite, isotropic, amplitude-independent, ∝√(K)) | lattice_visible_wave_emergence.py → visible_wave_summary.json | [F] |
| SOC criticality / g^* pinning (g^*/g₀≈1.14; avalanche statistics) | soc_percolation_pinning.py (soc_N750) → soc_N750_summary.json | [F] |
Honest-reading notes for the two [H] rows (do not over-read the magnitude).
(i) Amplification A. A=a/g^* is a dimensionless simulation output, but the percolation gap g^* self-organizes to the input gap threshold g₀ (g^*/g₀≈1.14). The magnitude A 10⁶ therefore scales as 1/g₀ — verified by re-running the released code at g₀=10⁻⁶,2×10⁻⁷,4×10⁻⁸, which gives D≈ 26,5.2,1.0 pm respectively. It thus tracks a numerical/threshold scale, not a scale-free physical invariant. What is parameter-free is the dimensionless structure (φ_jam, the pinning ratio, the distribution shape); the absolute size of A is not. (ii) Rotation length D=2πλ/A. D=ℓ_rot is a distribution; its agreement with the electron-anchored 2λ_(C,e)=4.85 pm is a central-tendency match (median +2.4%) or a best-bin selection (the 7% window openly noted in §11.6), and the absolute value depends on λ_ref together with the A magnitude in (i). It is therefore an empirical consistency, not a parameter-free derivation of 4.85 pm. The robust, resolution-independent route to a selected rotational length is a spectral length-selection mechanism under rotating forcing, where the selected length obeys L^*∝(σ/ε)^(1/2) (a linear peak-selection exponent, demonstrated by direct simulation); that fixes the scaling, while the absolute value still rides on the medium/forcing inputs.Note on the (A)/(B) split for electron 1-second.
The earlier full-physics-simulation path is downgraded to a historical-consistency note (the code is not currently in the public bundle); the load-bearing evidence is now two independent paths — (B) the reproducible code in the bundle and (G) the canonical geometry — with the geometry path triangulated three ways, as described in §12. See §1.9 (item A2) for the full audit.