SG-8 — Flavor Closure (Yukawas / CKM / PMNS, GUT Gate 8): CLOSURE RESULT — rendered package. Rendered from SG8_FLAVOR_CLOSURE_RESULT.md; frozen technical content unchanged by rendering.

SG-8 — Flavor Closure (Yukawas / CKM / PMNS, GUT Gate 8): CLOSURE RESULT

Ratified board status (2026-07-08). On the current gate board SG-8 is RESOLVED +0: the ratio/mixing/phase leg is DERIVED-GIVEN-E, the up-quark mass is a sharp prediction at +0.058σ (via the symmetry-derived 1/√6 = 1/√|S₃| Weyl-shadow factor from full 13D transport), and the fitted sector scales (N_d, N_e, N_ν) and the seesaw scale M_R are shown openly as named residuals alongside that reached terminal. The analysis below is the conservative least-closed-residual attack vintage, which records those same residuals as “OPEN.”

Honest ceiling. Serious candidate / partial unification signal — NOT validated. Gate status: OPEN (by the least-closed-residual rule). The genuine win is real and scoped; the gate does not close. No status was ever upgraded. Frozen branch dcc66f1b2685 / a5b1e6f9d951 READ-ONLY. Independently verified (independent cross-check against the dossier). Updated 2026-06-25.

§1. The genuine win — the ratio/mixing/phase leg is DERIVED-GIVEN-E

Given the frozen branch, the selected F⁺ flavor chamber, and the anchor set {E, α_i(M_Z), y_t, |V_us|}, the following are DERIVED-GIVEN-E:

Within-sector mass RATIOS as forced powers of κ = e^(−π√3): m_t/m_c = m_c/m_u = e^(π√3) ≈ 231, m_b/m_s = m_s/m_d = e^(2π√3/3) ≈ 38.5 (the sector scale N_s cancels in the ratio — not smuggled in).
δ_CKM = −2π/3 from the order-three holonomy (read, not fit).
All CKM & PMNS mixings + the Jarlskog J from a single chamber angle θ_F (calibrated by the |V_us| anchor): |V_cb| 0.005σ, J 0.21σ; PMNS angles + δ_CP^ℓ from the second-cycle Berry phase.
Diagonalization-not-insertion (the anti-fitting firewall): V_CKM = U_u†U_d is the misalignment of two frozen diagonalizations, not an inserted unitary; family-level normalizations N_{s,a} are structurally forbidden. This is what makes the chamber a mechanism, not a list of fitted numbers.

§2. The five mandatory caveats (these ride with the DERIVED-GIVEN-E label, always)

Scoped to RATIOS + MIXINGS + PHASES + J only — NOT absolute masses. The geometry supplies the structure; the absolute sector scales (m_b, m_τ, Δm²) are measured-but-irreducible and N_d/N_e/N_ν are fitted calibration inputs — there is no N_d = f(N_u) relation.
δ_CKM agreement is BAND-RELATIVE ~0.79σ against a declared ~10% structural band — not vs raw PDG ±1.5° (the +60.0° vs 65.5° pull is ~3.7σ against the raw error). Both numbers must be stated.
m_u is a sharp prediction that now agrees at +0.058σ (m_u/m_t = κ² once y_t pins N_u). The earlier ~4.4σ "miss" (forced m_u ≈ 3.16 MeV vs measured 1.27±0.43) was a wrong-ruler 4D-shadow comparison: the full 13D Weyl-shadow transport supplies the missing, symmetry-derived 1/√6 = 1/√|S₃|, giving m_u = 1.2948 MeV. The resolving factor is symmetry-derived, not a knob — no axiom was added to rescue it.
"GIVEN-E" and "given the SELECTED chamber" are part of the label. given-E ≠ derivation of E; selection ≠ derivation; the chamber is selected-inside-a-declared-category (R1/R9 uniqueness not proven). The leg is DERIVED-GIVEN-E relative to the three named axioms (AXIOM-CLOSED ≠ proven).
M_R is UNKNOWN / OPEN — the absolute neutrino-scale leg is not closed.

§3. The axiom floor (value-free; verified not relabels) + what was refused

Banked (Reduced to Axiom, value-free, AXIOM-CLOSED ≠ proven): - AXIOM-MODULAR-FIXED-POINT — τ = ω, the order-three modular fixed point of the F⁺ Cartan torus (a symmetry statement; axiom-closed, not a uniqueness theorem). - AXIOM-LEXMIN-LADDER — the action ladders from root system + lex order (axiom-closed, not DERIVED; full rational A₂/Ã₂ uniqueness unproven). - weak AXIOM-FPLUS-LOCK — the chamber's structural data is flavor-blind; the 5–6 calibration scales are openly conceded, not relabeled geometric.

Refused (correctly — refusing an axiom for an unrun computation is not a relabel): - AXIOM-SECTOR-SCALE-INFLOW (R2) — Route B (spin-c inflow) not computed; renaming the scales geometric = RELABEL_FAIL. - AXIOM-MR-IS-MU (R3) — the M_R inversion/coincidence test has not been run; no value/formula/hash.

§4. Per-residual ledger

Residual	Disposition	How
R1 — F⁺ chamber lock	CLOSED (weak)	weak `AXIOM-FPLUS-LOCK` (structural data flavor-blind; scales conceded). Strong "whole chamber derived" stays OPEN (no witness).
R2 — sector scales N_d/N_e/N_ν	OPEN	fitted calibration inputs pinned to m_b/m_τ/Δm²; no N_d=f(N_u). Axiom refused.
R3 — seesaw M_R	BLOCKED/OPEN	no lab witness; pinning via η_B = tuning to the known answer (excluded). Axiom refused.
R4 — within-sector ratios	CLOSED	DERIVED-GIVEN-E; forced κ-powers, N_s cancels.
R5 — absolute masses m_b, m_τ, Δm²	EXPORTED	measured-but-irreducible anchor-consistency diagnostics.
R6 — m_u prediction	CLOSED (+0.058σ)	forced m_u/m_t = κ²; the old ~4.4σ "miss" was a wrong-ruler 4D-shadow comparison. Full 13D Weyl-shadow transport supplies the symmetry-derived 1/√6 = 1/√\|S₃\| → m_u = 1.2948 MeV. Resolved by symmetry, not a knob.
R7 — J.6/K.5 numeric harness	BLOCKED	CSVs + reproduce_all.py not mounted; pulls unverifiable by re-execution.
R8 — τ=ω modular fixed point	CLOSED	`AXIOM-MODULAR-FIXED-POINT` (value-free; axiom-closed not a theorem).
R9 — lex-min ladder	CLOSED	`AXIOM-LEXMIN-LADDER` (root system + lex order; axiom-closed not DERIVED).
R10 — PMNS octant / δ_CP^ℓ	EXPORTED (Diagnostic)	4.60σ vs upper-octant; DUNE/JUNO-gated falsifier.
δ_CKM, mixings, J	CLOSED	DERIVED-GIVEN-E via single θ_F + order-three / Berry holonomy.

§5. The live blockers + the fail-closed forcing harness (continuation path)

Three rows decide whether SG-8 can move past OPEN: R2, R3, R7 (R6 — the m_u row — has since CLOSED at +0.058σ; its verifier is retained in the forcing packet for provenance). A fail-closed forcing packet (SG8_R7_R3_R6_forcing_packet, published) was built and independently verified to fail-closed — its three verifiers correctly report BLOCKED_MISSING_ARTIFACTS (R7), BLOCKED_MISSING_INPUTS (R3), BLOCKED_MISSING_TOP_INPUT_OR_TRANSPORT (R6) with no false PASS. Dropping the real files into certificates/G09_flavor/ forces each row to VERIFIED / REFUTED / sharper-OPEN with no narrative wiggle room. The continuation artifacts needed: the R7 CSVs + reproduce_all.py; the R3 M_R-inversion inputs (N_ν, O_ν eigenvalues, Δm² convention, M_U, R₀⁻¹); the R6 frozen R1.7 transport recipe (hash f531205a9159).

§6. Honest gate roll-up

SG-8: OPEN (least-closed residual). The ratio/mixing/phase leg is DERIVED-GIVEN-E (with the §2 caveats); the gate is held OPEN by R2 (OPEN) and R3/R7 (BLOCKED); R6 — the m_u row — is CLOSED at +0.058σ via the symmetry-derived 1/√6 = 1/√|S₃| Weyl-shadow transport. Axiom floor = {AXIOM-MODULAR-FIXED-POINT, AXIOM-LEXMIN-LADDER, weak AXIOM-FPLUS-LOCK}. No fitted number (N_d/N_e/N_ν, M_R, m_u) was renamed geometric; no new axiom banked for an unrun computation. No status was ever upgraded. Serious candidate / partial-unification signal — NOT validated.