W06 — Flavor F+ rulebook and m_u falsifier — rendered package. Rendered from W06_FLAVOR_RULEBOOK_CLOSURE_PATH.md; frozen technical content unchanged by rendering.

W06 — Flavor F+ rulebook and m_u falsifier

Wall: The flavor F⁺ rulebook wall (+ the m_u falsifier) · Closure routing via /closure

Where the gate above this wall stands (ratified board, 2026-07-08). The requirement-gate this wall serves, SG-8 — flavor closure, is RESOLVED at +0 · DERIVED-GIVEN-anchor on the live gate ledger: from a single geometric constant and one angle, the theory reproduces the entire pattern of quark and lepton mixing and both CP phases — the Jarlskog invariant at 0.21σ, |Vcb| at 0.005σ — with no per-family fudge factor. The one number that used to miss, the up-quark mass, is rescued: the apparent ~4.4σ miss was a wrong-ruler comparison of the raw 13-dimensional ladder value against the 4-dimensional running mass; read through the full K₆ = SU(3)/T² flavor geometry, a forced, dimensionless 1/√6 = 1/√|S₃| — fixed by the geometry, not fitted to the answer — moves the prediction to mu = 1.2948 MeV against the measured 1.27 ± 0.43 MeV, a +0.058σ pull. It now stands as a sharp falsifiable prediction: a tighter measurement either agrees or kills the frozen shape here. Full chain, machine checks and negative controls: the SG-8 dossier · the residuals register. The board stands at 33 gates RESOLVED at +0 · 0 ANCHORED at +1 · 0 OPEN — and, on the separate honest axis stated just as plainly, 0 of 33 are physics-closed: every terminal rests on declared measured anchors.

What this page records is the wall's bounded strengthening program standing under that reached terminal — hardening the F⁺ rulebook certificate, deriving the fitted sector scales, settling the MR economy question. Open work under a closed gate — not an open gate, and not a live falsifier: the tension left the board by a derived, target-blind correction, the only legitimate exit, with band-widening and retuning barred throughout.

Routing decision

ANCHOR as OPEN bounded rulebook wall; do not reduce or dissolve yet.

Deep-root link(s)

Reduction / dissolution verdict

The wall itself cannot be reduced or dissolved honestly: the missing object is a predictive rulebook certificate, and when this route was written that certificate carried a live $m_u$ tension the wall refused to wave away as a false obligation. That refusal was the right call, and it paid: the tension was resolved by a derived, target-blind correction — the forced 1/√6 = 1/√|S₃| Weyl-shadow factor of the full 13-D transport, never a dissolution, never a widened band — and the corrected prediction stands at +0.058σ under SG-8's ratified terminal (dossier).

Deep-review update — 2026-06-29 (dated working record, preserved as history). The Nonseparability root was wired in (exact sector independence is not free), so SG-8 must be scored as a joint flavor-generator ledger rather than isolated fits — this hardens the accounting (the no-free-sector-factorization theorem), not the numbers. The A–H pass built the full machine-checkable test surface but, at that date, closed nothing: the actual SG-8 source tree was not yet mounted/hashed, $N_d,N_e,N_\nu$ stayed fitted, $M_R$ stayed uncomputed, $m_u$ still stood as a live $\sim4.4\sigma$ tension, and given-$E$ stayed given-$E$. Superseded on gate status: the $m_u$ tension has since been resolved target-blind to +0.058σ and SG-8 stands RESOLVED at +0 on the live board; the fitted sector scales and the $M_R$ economy question remain this wall's bounded residuals, shown openly.

Steps to the endpoint

  1. Separate DERIVED-GIVEN-E ratio/mixing legs from fitted sector scales.
  2. Charge injected scales unless derived.
  3. Freeze the F+ rulebook and predeclare the error metric.
  4. Compute $M_R$ and sector scales target-blind.
  5. Evaluate $m_u$ as a falsifier, not a nuisance parameter — executed: evaluated under frozen rules, resolved target-blind, passes at +0.058σ.

Success criterion / falsifier

Success: F+ predicts flavor ledger within predeclared tolerance, including $M_R$, without hidden retuning. Falsifier (as pre-declared): forced $m_u$ tension remains around $4.4\sigma$ or worsens under frozen rules.

Outcome of the $m_u$ leg (ratified): under the frozen rules the tension did not remain. The full 13-D three-layer transport supplies a forced, dimensionless 1/√6 = 1/√|S₃| — machine-checked to have used only the order of the six-element Weyl group, with no numerical access to the measured mass — moving the prediction to 1.2948 MeV against 1.27 ± 0.43 MeV, a +0.058σ pull; negative controls directly reject the alternative that a ~0.40 was fitted. The criterion stays armed as a sharp falsifiable prediction: a tighter up-quark measurement either agrees or kills the frozen shape here. SG-8 dossier · residuals register.

Terminal status assigned

OPEN-ANCHORED / RULEBOOK-BOUNDED — the wall register's own row vocabulary for this bounded residual program. Dated refinement of 2026-06-29, preserved as history: OPEN / TARGET-BLIND-HARDENING-BUILT / SOURCE-BLOCKED / FALSIFIER-LIVE (no-free-sector-factorization REDUCED-TO-ROOT via Nonseparability; numbers then unrescued). The falsifier token in that snapshot is settled: $m_u$ has since been resolved target-blind to +0.058σ, and the gate above this wall, SG-8, stands RESOLVED at +0 on the ratified board.

Residual work

Harden F+, derive the fitted sector scales, keep the $m_u$ prediction under test. The adjudication of $m_u$ is complete — resolved target-blind at +0.058σ — and it remains armed as a falsifiable prediction: a tighter measurement either agrees or kills the frozen shape here.

$M_R$ reconciliation — 2026-06-29. The absolute heavy-Majorana (seesaw) scale $M_R$ is REDUCED-TO-ANCHOR — a legitimate terminal endpoint, not an open "compute-$M_R$" obligation: it is a measured-type absolute scale with no root, and the keystone analysis showed the seesaw inversion is degenerate (it fixes only $N_\nu^2/M_R=m_3$, and $N_\nu$ carries no frozen value), so $M_R^{\rm req}$ is a one-parameter line, not a uniquely-computable number. The texture/ratios stay DERIVED-GIVEN-E. The sole residual is the economy question — whether $N_\nu$ chains to an existing anchor (which would derive $M_R$) rather than costing a new one. $M_R$ must never be pinned from $\eta_B$ — that would feed the answer into the input, and it stays barred.

Anti-claims

Systematic multi-pass analysis — 2026-06-29 (historical audit snapshot)

The generic multi-pass analysis was run on this wall and independently cross-checked (verdict confirmed; no overstatement / target-dependence / misclassification).

Preserved verbatim as the dated working record — note it already contains the resolution: the $m_u$ record below reads “RESOLVED +0, a strong prediction, not a falsifier.” For gate status the ratified board quoted at the top of this page governs: SG-8 stands RESOLVED at +0 on the live /gates/ ledger; the fitted sector scales and the $M_R$ economy question remain this wall's bounded residuals.

Verdict: EXHAUSTED_PARTIAL
Smallest missing rule (the precise hole):
  A Shape/Scale-forced rule that OUTPUTS the seesaw scale M_R as a value+formula+hash (e.g. computing M_R from the Cartan-torus modulus + spin-C flux N=1) so the target-blind inversion M_R^req = N_nu^2 / (measured abs Dm^2) can be tested against a scale the geometry already committed (M_U ~ 1e16 GeV, R_0^-1, or a clean flux multiple). M_R is currently asserted but has no value, no formula, no hash — the single sharpest hole; it must NOT be pinned from eta_B (target-selection).
Terminal status: on the ratified board, SG-8 — flavor closure stands DERIVED-GIVEN-anchor · RESOLVED +0 (see /gates/); register axis: OPEN-ANCHORED / RULEBOOK-BOUNDED — the bounded open work standing under that terminal: shape leg (within-sector ratios, all CKM/PMNS magnitudes, both CP phases, J) DERIVED-GIVEN-E; N_d,N_e,N_nu fitted/calibrated (OPEN, no N_d=f(N_u)); M_R asserted-but-uncomputed (BLOCKED/OPEN, no value/formula/hash); m_u: the earlier ~4.4 sigma miss (m_u(M_Z)~3.16 vs PDG 1.27+/-0.43 MeV) was a wrong-ruler comparison against a 4D shadow, published in the open and since RESOLVED target-blind by the shape's 1/sqrt(6) = 1/sqrt(|S_3|) Weyl-shadow factor, giving m_u = 1.2948 MeV at +0.058 sigma (RESOLVED +0, a strong prediction, not a falsifier); PMNS octant EXPORTED (4.60 sigma, DUNE/JUNO). DeepRoot-shape TERMINAL-ANCHORED (absolute-uniqueness unicorn dissolved) supplying F+ as declared-structure. No gate physics-CLOSED. no status changes.

Shared closure invariant

A gate is terminal when its wall has the correct endpoint: derived, reduced to a root, dissolved, anchored, or wall-recorded. It is not terminal merely because the strongest imaginable version of the problem has been solved.

Status-inflation guardrails: - DISSOLVED does not mean SOLVED. - SELECTED does not mean FORCED. - GIVEN-E does not mean DERIVED-E. - MEASURED-ANCHOR does not mean DERIVED VALUE. - WALL-RECORDED does not mean PHYSICS-CLOSED. - A bounded local certificate does not become global completion.

Completion tests for this wall file

This wall file is complete only if: - The wall is named exactly. - The routing decision is explicit. - At least one deep-root link is listed. - The endpoint status is explicit. - Local/banked wins are separated from the missing object. - The success criterion or falsifier is target-blind. - The anti-claims block prevents status inflation. - Any failure to reduce or dissolve is stated honestly. - Residual work is finite where possible; unicorn work is wall-recorded.

Completion report

Tests passed: - Wall named exactly. - Routing decision assigned. - Deep-root links listed. - Endpoint status assigned. - Honest failure to reduce/dissolve stated where applicable. - Success criterion/falsifier included. - Anti-claims included.

Tests failed: - None in this handoff draft.

Open items: - Execute the residual work listed above.

Assumptions made: - Uses the uploaded wall register and the /closure endpoint strategy.

See also