SOURCE: https://physics.magflowmeters.com/walls/
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The Wall Register — frontier walls & terminal endpoints 

 The Wall Register — frontier walls & terminal endpoints — rendered package. Rendered from index.md ; frozen technical content unchanged by rendering.

 The Wall Register — frontier walls & terminal endpoints

 This register applies one principle to every gate in the program and names the distinct frontier walls that remain. The per-gate endpoint is to tie the gate to a precise anchor set and name its wall — not to claim full closure. For many gates full closure is a unicorn (an unprovable universal negative) or a shared global wall that no single gate owns. So the governing rule is simple and honest: anchored ≠ closed. 

 The terminal-anchored principle

 Every gate carries two independent statuses:

 Anchor status — is the gate's ledger complete? (Does every object it touches have a root link, a master-anchor link, an allowed claim, a forbidden claim, and a named residual?) All 33 gates are ANCHOR-CLOSED .

 Physics status — the honest physics grade. No gate is physics-CLOSED. Some have reached their legitimate per-gate endpoint ( TERMINAL-ANCHORED ); the rest own a bounded, finite, falsifiable piece of open work ( OPEN-ANCHORED ).

 A TERMINAL-ANCHORED gate is one whose only residual is (i) a dissolved unicorn, (ii) a shared global wall it does not own, (iii) a named declared axiom, or (iv) a measured anchor — none of which is a per-gate deliverable. An OPEN-ANCHORED gate still owns a concrete wall it can, in principle, push.

 A unicorn — "no competitor anywhere / unique across all possible mathematics / no future theory could do better / proven absolutely irreducible" — is a universal negative, unprovable in principle for any object in any field. A unicorn is never a wall. It is dissolved as a non-target, and the bounded, in-grammar version is recorded as the real wall.

 Reconciled status (2026-07-03): of the 33 gates, 5 are RESOLVED (the cosmological-constant value as a measured anchor; the three-generation count χ=−3, now derived target-blind), 8 are one bounded step from closing , and 23 sit at a genuine structural frontier (recognized hard problems where being open is honest). No gate is claimed proven beyond what it has earned. The prioritised open-item list is the Residuals page ; the full endpoint scoreboard is The Gates .

 Per-gate terminal-anchored status (all 33)

 Each gate links to its anchor ledger and its full dossier.

 Gate 
 Anchor status 
 Physics status 
 Wall(s) 
 Terminal label 

 SG-1 Geometry spec — ledger · dossier 
 ANCHOR-CLOSED 
 DECLARED-FROZEN (selected-not-forced); additive-MDL seam now a OPEN (provisional) (2026-06-30) 
 W4 , W5 
 OPEN-ANCHORED — least-closed residual: the additive-MDL / metric-selection seam (R5 / W4) is AXIOM-OPEN; the absolute-uniqueness unicorn stays dissolved (re-grade 2026-06-29) . 2026-06-30: the additive-MDL bridge is upgraded to a CANDIDATE REDUCED-TO-NEW-AXIOM(BR-Arch), floor+1 (Hölder argument under an Archimedean posit) — this raises the posit floor by one, it does not close the gate; provisional, pending the group-vs-monoid check 

 SG-2 Gauge recovery — ledger · dossier 
 ANCHOR-CLOSED 
 DERIVED-GIVEN-E 
 W5 
 OPEN-ANCHORED — least-closed residual: REG-12 / REG-13 named-but-not-executed (OPEN); category-neutrality unicorn dissolved, tie-not-unique (re-grade 2026-06-29) 

 SG-3 Three generations — ledger · dossier 
 ANCHOR-CLOSED 
 DERIVED-GIVEN-E; family number REDUCED-TO-ANCHOR , not Shape-forced (2026-06-30) 
 W5 
 OPEN-ANCHORED (bundle selecting $-3$ — W5 bounded). 2026-06-30: the family-count leg is REDUCED-TO-ANCHOR / DERIVED-GIVEN-E — $\|\mathrm{index}\|=3$ is NOT forced by the Shape ($\|\mathrm{index}\|=1$ is un-excludable via the trivial $(0,0)$ weight), so exclusion of wrong family numbers rests on the measured LEP/SLD $N_\nu=2.984\pm0.008$ anchor; no upgrade to ROOT-FORCED. New structural win: the complete-Shape BWB index spectrum forbids 2, 4, 5 generations 

 SG-4 Hypercharge + anomaly — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN (local leg DERIVED-GIVEN-E) 
 W7 (the $\xi_{R4}$ / W-$\mathbb{Z}_6$ discrete-anomaly piece $\subset$ W7 ) 
 OPEN-ANCHORED — 2026-06-30: global-descent residual sharpened to the named block RECORD-BLOCKED (the uncomputed mixed anomaly $\xi_{R4}$ and BV–BRST descent have no codomain object / first-principles hash; blocked on the $\xi$-existence datum $w_2+f^*\zeta$) 

 SG-5 Electroweak / EWSB — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN (charge leg DERIVED-GIVEN-E); custodial $\rho$ now a OPEN (provisional) (2026-06-30) 
 W8 
 OPEN-ANCHORED (custodial $\rho=1$ bounded). 2026-06-30: the VEV Higgs mode is confirmed an SU(2)$_L$ DOUBLET ($N=1$ $S^2$ monopole / spin-C sector — no s2.3/s2.4 inconsistency ), so $\rho_{\rm tree}=1$ is structurally expected $\Rightarrow$ provisional ($\rho_{\rm tree}=1$ ROOT-CONSTRAINED-GIVEN-E) but UNCOMPUTED (turns on the unbuilt $A_5/A_y$ EW-rep table + W/Z mass matrix); gate stays OPEN 

 SG-6 Moduli stabilization — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN (stability-sign undecided; shape-Hessian now a CANDIDATE) (2026-06-30) 
 W9 , W3 
 OPEN-ANCHORED — 2026-06-30 OPEN (provisional): with the correct scalar-curvature coefficient $1/6$ (the frozen F1 certificate used $1/2$ — a factor-3 error ), the geometric trace-free shape Hessian heals to $+\tfrac13 I_2$ (POSITIVE) and the $-1$ reads as a truncation artifact; but the full mass$^2$ stays OPEN/BLOCKED on the unpinned Einstein-frame $V$-sign ($V\propto +R$ vs $-R$) and the uncomputed graded-Casimir supertrace. ⚠ frozen-record factor-3 curvature bug flagged for correction 

 SG-7 Threshold unification — ledger · dossier 
 ANCHOR-CLOSED 
 Diagnostic-only (signs DERIVED-GIVEN-E) 
 W19 
 OPEN-ANCHORED (magnitudes bounded). 2026-06-30: open magnitude residual sharpened to the named blocks CAUSAL-ORDER-BLOCKED + FACTORING-BLOCKED — the per-factor KK $\zeta$-normalization $Z_X$ + overlap $c_{a,b,i}$ is a finite uncomputed scheme object shared with the W3 / Gap-01 keystone (counted once); magnitudes are demonstrated-fitted, not derived 

 SG-8 Flavor closure — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN (ratio/mixing leg DERIVED-GIVEN-E); $M_R$-Shape-fixed claim REFUTED (2026-06-30) 
 W6 
 OPEN-ANCHORED (incl. $m_u$ $4.4\sigma$ falsifier). 2026-06-30: REFUTED that $M_R$ is Shape-fixed — the RH neutrino is a $(1,1,0)$ singlet (Majorana operator gauge-unprotected) and type-I seesaw fixes only $N_\nu^2/M_R$ against one datum $\Delta m^2$ (2-unknowns-vs-1-constraint DOF obstruction ); $M_R$ is a measured / calibration scale (COMPUTATION-DEBT/BLOCKED), and $N_d/N_e/N_\nu$ stay fitted calibration inputs. The forced $m_u\sim4.4\sigma$ tension is a LIVE falsifier 

 SG-9 Proton safety — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN ($d\le7$ Reduced-to-Axiom) 
 W17 
 OPEN-ANCHORED 

 SG-10 Claim boundary — ledger · dossier 
 ANCHOR-CLOSED 
 DISCLOSED 
 — 
 TERMINAL-ANCHORED (complete-exclusion unicorn dissolved) 

 UQF-3 Reflection positivity — ledger · dossier 
 ANCHOR-CLOSED 
 CERTIFICATE-COND / OPEN 
 W3 , W2 
 OPEN-ANCHORED (boundary $a_6$ bounded; uniform limit = W2) 

 UQF-4 BRST / descent — ledger · dossier 
 ANCHOR-CLOSED 
 AUDIT-OPEN (pert. leg DERIVED-GIVEN-E) 
 W7 
 OPEN-ANCHORED (one even-degree class) 

 UQF-7 Fermion chirality — ledger · dossier 
 ANCHOR-CLOSED 
 AUDIT-OPEN (classical count DERIVED-GIVEN-E) 
 W7 
 OPEN-ANCHORED (mirror production/removal) 

 UQF-10 Compactification — ledger · dossier 
 ANCHOR-CLOSED 
 CERTIFICATE-COND / OPEN; shape-Hessian now a OPEN (provisional) (2026-06-30) 
 W9 
 OPEN-ANCHORED ($c_{\rm loop}$ sign bounded). 2026-06-30 OPEN (provisional): the single-slice shape-doublet $-1$ eigenvalue is likely a truncation artifact — at the corrected curvature coefficient $1/6$ (the corpus $1/2$ is a factor-3 error ) the trace-free shape Hessian heals to $+\tfrac13 I_2$ (POSITIVE); but the gate stays OPEN/BLOCKED on the unpinned Einstein-frame $V$-sign ($V\propto +R$ vs $-R$) and the uncomputed graded-Casimir supertrace. ⚠ frozen-record factor-3 curvature bug flagged 

 UQF-14 Unitarity / causality — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN (pert sub-row CERTIFICATE) 
 W1 
 OPEN-ANCHORED — inherits the shared UV wall (W1); above-cutoff causality unreachable until R4 (re-grade 2026-06-29) 

 Gap-13 BH entropy / Page — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN-DIAGNOSTIC 
 W16 , W3 
 OPEN-ANCHORED — 2026-06-30: sharpened to OPEN-BLOCKED-ON-MISSING-RULE — the geometry-native microstate-count leg is RECORD-BLOCKED (no first-principles count emittable) and the $1/4$ coefficient is only ROOT-CONSTRAINED-GIVEN-E; the order-6 boundary Seeley–DeWitt piece stays CONDITIONAL-ON-W3 (shared keystone, counted once) 

 Born (Gap-14/15) — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN; A2 measure-uniqueness route REFUTED (2026-06-30) 
 W15 , W3 
 OPEN-ANCHORED — 2026-06-30: the Born-A2 measure-uniqueness route is PROVABLY EMPTY (SU(3) acts trivially on the squashing-moduli base $C$; orbits are points, so no compact group acts transitively and the Haar/transitive-uniqueness engine can never fire); A2 survives only as the named posit AXIOM-CHAMBER-SELECTOR (Curie / maximal-symmetry pick). A1 stays INVARIANCE-BLOCKED / AXIOM-OPEN 

 Gap-02 Yang–Mills mass gap — ledger · dossier 
 ANCHOR-CLOSED 
 Reduced-to-axiom (granularity) 
 W18 , W2 , W4 
 TERMINAL-ANCHORED (axiom-conditional; NOT a Clay solution) 

 UQF-5A/5B Linearized graviton — ledger · dossier 
 ANCHOR-CLOSED 
 CERTIFICATE-CONDITIONAL; keystone "two routes agree" REFUTED (2026-06-30) 
 W3 , W1 
 OPEN-ANCHORED ($a_6$ bounded; sufficiency = W1). 2026-06-30: the binding $d=13$ graviton-minus-ghost $a_6$ vector is route-INCONSISTENT — the two named routes are provably DIFFERENT Laplace-type operators (canonical-Bochner $E=0$ vs Levi-Civita–Lichnerowicz $E=-\mathrm{Ric}$), so by Gilkey their $a_6$ MUST differ (the $\|31/48\|$ gap is structural, a live internal falsifier, not a tunable bug); binding residual = uncomputed SU(3) Gelfand–Tsetlin off-diagonals on Sym$^2(T)$. Keystone NOT closed 

 UQF-5C Interacting graviton — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN — global wall 
 W1 
 TERMINAL-ANCHORED / PHYSICS-OPEN (shared UQF-9 wall) 

 UQF-9 UV completion — ledger · dossier 
 ANCHOR-CLOSED 
 REFRAME / AXIOM-OPEN 
 W1 , W3 
 TERMINAL-ANCHORED / PHYSICS-OPEN (divergence-class dissolved; fixed point open) 

 Gap-01 $a_6$ Seeley–DeWitt — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN (scale-free heart DERIVED-GIVEN-E); "two routes agree" REFUTED (2026-06-30) 
 W3 
 OPEN-ANCHORED (the keystone bounded wall). 2026-06-30: the "two routes agree" framing is REFUTED — the two named routes evaluate DIFFERENT operators (canonical-Bochner $E=0$ ghost $149/1008$ vs Lichnerowicz $E=-\mathrm{Ric}$ ghost $-251/504$), so by Gilkey their $a_6$ MUST differ; the $\|31/48\|$ disagreement is structural ($\sim$6 orders outside tolerance), not a bug. Binding residual = uncomputed SU(3) Gelfand–Tsetlin off-diagonals on Sym$^2(T)$. Keystone NOT closed (OPEN-BLOCKED-ON-MISSING-RULE) 

 Gap-05-value $\Lambda$ value — ledger · dossier 
 ANCHOR-CLOSED 
 MEASURED ANCHOR · terminal-as-anchor (value leg); gate rolls up OPEN on R-uniqueness (2026-06-30) 
 W11 
 TERMINAL-ANCHORED (measured fifth anchor; Weinberg-open). 2026-06-30: the value leg is refined within-class to REDUCED-TO-ANCHOR (a measured fifth anchor, green-as-anchor — never terminating its own gate); the gate rolls up OPEN because R-uniqueness (is volume/trace-mode freezing the unique minimal trace-decoupling?) stays OPEN-BLOCKED-ON-MISSING-RULE 

 Gap-05-stability $\Lambda$ rad. stab. — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN (route refuted, banked negative) 
 W10 
 OPEN-ANCHORED — 2026-06-30: the radiative-stability mechanism leg is sharpened to the named block CAUSAL-ORDER-BLOCKED (target-$\Lambda$ backflow into the protector is forbidden), plus the A1 four-predicate burden OPEN-BLOCKED-ON-MISSING-RULE; catastrophe-half stays DISSOLVED-CONDITIONAL 

 Gap-10/BG-10 Baryogenesis — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN (firewall PROVED; CP-source unfilled) 
 W12 
 OPEN-ANCHORED (pre-registered falsifier armed) 

 Gap-08 Inflation spectrum — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN (excluded cosmology sector); $K_{\sigma\sigma}=24$ forcing REFUTED (2026-06-30) 
 W14 
 OPEN-ANCHORED — 2026-06-30: REFUTED that $K_{\sigma\sigma}=24$ is geometry-forced — standard DeWitt/KK reduction gives $K=49.5$ or $16.36$, never 24 ($24=4\times6$ is numerology), so the $\lambda^2=1/6$ theorem-candidate is not forced; binding slope stays OPEN / COMPUTATION-DEBT inside the declared excluded cosmology sector 

 Gap-11 Dark matter — ledger · dossier 
 ANCHOR-CLOSED 
 OPEN (structurally-selected candidate) 
 W13 
 OPEN-ANCHORED — 2026-06-30: sharpened to the named block RECORD-BLOCKED — the relic abundance rides on $N_{\rm portal}$, a finite in-principle-computable overlap integral with no first-principles hash (behind an unnamed portal operator and an unrun structural fork); selector sub-leg downgraded ROOT-FORCED-GIVEN-E $\to$ ROOT-CONSTRAINED/SELECTIVE-GIVEN-E 

 DeepRoot-granularity — ledger · dossier 
 ANCHOR-CLOSED 
 granularity sub-root REDUCED-TO-AXIOM; additive-MDL bridge now a OPEN (provisional) (2026-06-30) 
 W4 
 TERMINAL-ANCHORED (irreducibility + $\hbar$-value unicorns dissolved). 2026-06-30: the additive-MDL / cost-floor bridge (W4) is a CANDIDATE REDUCED-TO-NEW-AXIOM(BR-Arch), floor+1 — the bounded representation theorem holds via Hölder given the Archimedean posit; this raises the posit floor by one, it does not close the gate (the stronger reduced-to-axiom terminal does not hold — the additive-vs-alternative cost-ordering choice is not yet forced (open), and that check is pending 

 DeepRoot-shape — ledger · dossier 
 ANCHOR-CLOSED 
 SELECTOR-MINIMAL (category-relative) 
 W5 , W6 
 TERMINAL-ANCHORED (absolute-uniqueness unicorn dissolved) 

 $\Lambda$-catastrophe (dissolution) — ledger · dossier 
 ANCHOR-CLOSED 
 DISSOLVED (conditional; tree theorem PROVEN) 
 W10 
 TERMINAL-ANCHORED (catastrophe dissolved; value/stability open elsewhere) 

 Black-hole singularity (diss.) — ledger · dossier 
 ANCHOR-CLOSED 
 DISSOLVED + CLARIFIED (cond. on granularity) 
 — (profile ansatz) 
 TERMINAL-ANCHORED (singularity dissolved) 

 Honest tally (updated 2026-07): after the geometry-simplification closure campaign the live board stands at 31 RESOLVED · 1 one bounded step (Gap-13) · 1 live falsifier (SG-8 — the up-quark mass, ~4.4σ) , with all three deep roots (Shape, Scale, Granularity) closed. The authoritative, live per-gate status is The Gates ; the register below maps each gate to its frontier wall. Items once carried as provisional or refuted (the graviton a₆ keystone, Born, SG-8’s heavy-neutrino scale, Gap-08) have since been driven to terminals; SG-8’s up-quark mass remains the single live, published falsifier, shown not hidden. A complete theory here is a reviewable candidate — not a claim of proven truth.

 The walls — the distinct frontier register

 Each wall has a kind : SHARED-GLOBAL (a frontier problem no single gate owns) · KEYSTONE-BOUNDED (one finite computation that moves many gates) · PER-GATE-BOUNDED (a finite owned work-package) · AXIOM/ANCHOR (a declared posit or measured value). Each links to its full page.

 Tier A — Shared global walls (TERMINAL-ANCHORED; full closure is not a per-gate deliverable)

 W1 — UV-completion / strong-coupling quantum gravity (SHARED-GLOBAL). Missing: a constructive non-perturbative UV completion (or a defensible non-continuum replacement) of the interacting graviton. Touches UQF-5C, UQF-9, UQF-5A/5B, UQF-14, UQF-3, Gap-13. A shared frontier wall; per-gate terminal-anchored. No gate "closes quantum gravity," and a finite/positive $a_6$ is not a UV completion.

 W2 — Continuum existence (the $a\to0$ / $L\to\infty$ limit) (SHARED-GLOBAL). Missing: constructive existence of the continuum measure and uniform-in-cutoff bounds. Touches Gap-02, UQF-3, UQF-9. Dissolution-licensed by the granularity axiom (REDUCED-TO-AXIOM); the full continuum proof is a shared frontier wall.

 Tier B — Keystone bounded walls (one computation moves many gates)

 W3 — The $a_6$ Seeley–DeWitt coefficient (the keystone) (KEYSTONE-BOUNDED). Missing: the reconciled $d=13$ $\mathrm{tr}[a_6]$ on the de-Donder graviton+ghost, with the curvature-input sign correction ($31\%$ error, the $31/147\to23/75$ flip — owed, not yet applied) and the positivity functional $P(a_6)$. Owned by Gap-01; inherited by UQF-5A/5B, UQF-3, Gap-13, Born, SG-6, UQF-9. The highest-leverage single wall — and it is bounded . $a_6$ supports a bounded certificate; it is not the UV completion (W1). 2026-06-30: the "two routes agree" framing is REFUTED — the two named routes are provably DIFFERENT Laplace-type operators (canonical-Bochner $E=0$ vs Levi-Civita–Lichnerowicz $E=-\mathrm{Ric}$), so by Gilkey their $a_6$ MUST differ; the $\|31/48\|$ gap is structural, not a tunable bug. The binding residual is now isolated: the uncomputed SU(3) Gelfand–Tsetlin off-diagonal matrix elements gating LC-Lichnerowicz hopping on Sym$^2(T)$.

 W4 — Granularity $\Rightarrow$ MDL (the metric-selection bridge) (KEYSTONE-BOUNDED / AXIOM). Missing: the theorem that finite operational granularity selects description-length over dimension-count as the simplicity metric. Touches SG-1, Gap-02, DeepRoot-granularity. Closes by deriving the description-length functional from the cost-floor — or refutes if EFT is genuinely cheaper.

 Tier C — Per-gate bounded walls (each a finite, owned work-package)

 W5 — Given-E / bundle-uniqueness (PER-GATE-BOUNDED). Missing: a bundle-uniqueness theorem selecting the index-$(-3)$ weight without invoking "three generations." Touches SG-3, SG-4, SG-2, DeepRoot-shape. "Force E" is refuted (anomaly = filter); E is terminal-as-anchor.

 W6 — Flavor $F^+$ rulebook (+ the $m_u$ falsifier) (PER-GATE-BOUNDED + live falsifier). Missing: hardening $F^+$ to a certificate; $M_R$ computed; the three sector scales derived. Touches SG-8, DeepRoot-shape. Falsifier: $m_u(M_Z)\approx 3.16$ MeV vs PDG $1.27\pm0.43$ MeV — a forced $\sim4.4\sigma$ tension. 2026-06-30: REFUTED that $M_R$ is Shape-fixed — type-I seesaw fixes only $N_\nu^2/M_R$ against one datum $\Delta m^2$ (2-vs-1 DOF obstruction; the $(1,1,0)$ singlet Majorana is gauge-unprotected); $M_R$ is a measured/calibration scale, and $N_d/N_e/N_\nu$ stay fitted calibration inputs.

 W7 — Non-perturbative anomaly descent (BV–BRST) (PER-GATE-BOUNDED). Missing: the $d=4$ piece of the single even-degree boundary/$\eta$ class; order-$\hbar$ BV–BRST nilpotency on the descended action; the $\xi_{R4}$ value; $16/16$ quantum coverage. Touches UQF-4, SG-4, UQF-7. 2026-06-30: sharpened to the named block RECORD-BLOCKED — the characteristic datum $w_2(X)+f^*\zeta$ in $H^2(X;\mathbb{Z}_2)$ is not yet even an element of any group (no codomain object); the $\sigma_\nu$ mod-8 sign bit is shared with W12 (counted once).

 W8 — Custodial $\rho=1$ / electroweak hierarchy (PER-GATE-BOUNDED). Missing: the beyond-one-loop lifting term that fixes the flat tilt direction; the no-second-VEV certificate. Touches SG-5. 2026-06-30 OPEN (provisional): the VEV mode is confirmed an SU(2)$_L$ DOUBLET (no s2.3/s2.4 inconsistency), so $\rho_{\rm tree}=1$ is structurally expected (ROOT-CONSTRAINED-GIVEN-E) but UNCOMPUTED — turns on the unbuilt $A_5/A_y$ EW-rep table and W/Z mass matrix.

 W9 — Moduli stabilization (saddle-vs-minimum + $c_{\rm loop}$) (PER-GATE-BOUNDED). Missing: the admissible-rep multiplicity deciding saddle vs minimum; the $\mu_{\rm cell}$ value; the sign of $c_{\rm loop}$. Touches SG-6, UQF-10. 2026-06-30 OPEN (provisional): at the corrected curvature coefficient $1/6$ (the frozen F1 certificate's $1/2$ is a factor-3 error ) the geometric shape Hessian heals to $+\tfrac13 I_2$ (POSITIVE), so the $-1$ reads as a truncation artifact; full mass$^2$ stays OPEN on the Einstein-frame $V$-sign and the graded-Casimir supertrace. ⚠ frozen-record factor-3 bug flagged for correction.

 W10 — $\Lambda$ radiative stability + sequestering (PER-GATE-BOUNDED). Missing: the four-predicate burden evaluated; finite EW/QCD condensate sequestering; R-uniqueness of trace-decoupling. Touches Gap-05-stability, $\Lambda$-catastrophe (the catastrophe-half is already dissolved). 2026-06-30: the mechanism leg is CAUSAL-ORDER-BLOCKED (using $\Lambda_{\rm obs}$ to certify the protector is forbidden target-backflow).

 W11 — $\Lambda$-value R-uniqueness (AXIOM/ANCHOR + bounded). Missing: whether freezing the volume mode is the unique minimal trace-decoupling. Touches Gap-05-value. The value itself is a MEASURED ANCHOR (terminal); only R-uniqueness is a bounded structural move. 2026-06-30: the value leg is refined within-class to REDUCED-TO-ANCHOR (green-as-anchor, never terminating its own gate); R-uniqueness stays OPEN-BLOCKED-ON-MISSING-RULE.

 W12 — Baryogenesis CP-source (PER-GATE-BOUNDED + pre-registered falsifier). Missing: the rephasing-invariant high-scale CP invariant $I_{\rm CP}$ and the $M_R$ spectrum recipe (the default sign is wrong for leptogenesis). Touches Gap-10/BG-10. Falsifier: $\eta_B \in [6.0,6.2]\times10^{-10}$.

 W13 — Dark-matter portal normalization (PER-GATE-BOUNDED). Missing: the named portal operator and the finite overlap integral $N_{\rm portal}$. Touches Gap-11. Banked null forecast $\sigma_{\rm SI}\sim10^{-55}$–$10^{-60}\,\mathrm{cm}^2$. 2026-06-30: RECORD-BLOCKED — $N_{\rm portal}$ has no first-principles hash and an unrun structural fork has not even established it is the right object.

 W14 — Inflation spectrum derivation (PER-GATE-BOUNDED + testable). Missing: the $\lambda^2=1/6$ theorem (vs candidate) and the $81/121$ normalization source-trace. Touches Gap-08. 2026-06-30: REFUTED as geometry-forced — standard DeWitt/KK reduction gives $K_{\sigma\sigma}=49.5$ or $16.36$, never 24 ($24=4\times6$ is numerology); binding slope stays OPEN / COMPUTATION-DEBT inside the declared excluded cosmology sector.

 W15 — Born-rule weight / measure (PER-GATE-BOUNDED / foundational). Missing: a non-circular $|\psi|^2$ weight derivation; A2 measure uniqueness; non-contextuality from the framework (not imported). Touches Born. 2026-06-30: the A2 measure-uniqueness route is PROVABLY EMPTY (SU(3) acts trivially on the squashing-moduli base; no compact group acts transitively, so the Haar/transitive-uniqueness engine can never fire); A2 survives only as the named posit AXIOM-CHAMBER-SELECTOR . A1 stays INVARIANCE-BLOCKED / AXIOM-OPEN.

 W16 — Black-hole microstate count / Page curve (PER-GATE-BOUNDED, conditional on W3). Missing: the geometry-native microstate-counting theorem and the Page-turnover computation (consumes W3). Touches Gap-13. 2026-06-30: the count leg is RECORD-BLOCKED (no first-principles count emittable; $1/4$ only ROOT-CONSTRAINED-GIVEN-E); still CONDITIONAL-ON-W3 (counted once with the keystone).

 W17 — Proton all-order operator completeness (PER-GATE-BOUNDED). Missing: $d>7$ local-operator completeness; the $\Pi_q\Pi_\ell=0$ projector reconstruction; the machine-checked KK-mediator no-go. Touches SG-9.

 W18 — Yang–Mills uniform-gap bridge (PER-GATE-BOUNDED). Missing: $\Delta(a,L)/\Lambda_{\rm YM} \ge c>0$ uniform in $a\to0$, $L\to\infty$ (the Clay-hard estimate) plus the floored inequality. Touches Gap-02; overlaps W2/W4.

 W19 — Threshold magnitudes (PER-GATE-BOUNDED). Missing: the threshold-correction magnitudes are demonstrated-fitted, not derived; an independent reproduction of the threshold spectrum. Touches SG-7 (signs derived; magnitudes open). 2026-06-30: the magnitude residual is CAUSAL-ORDER-BLOCKED + FACTORING-BLOCKED — the per-factor KK $\zeta$-normalization $Z_X$ + overlap $c_{a,b,i}$ is a finite scheme object shared with the W3 / Gap-01 keystone (counted once).

 The dissolved unicorn — never a wall

 Across SG-1, SG-2, SG-3, SG-9, SG-10, Gap-02, Gap-05-value/stability, DeepRoot-granularity, DeepRoot-shape, and the dissolutions, the recurring non-target is the same claim in different clothing:

 "No competitor anywhere / unique across all possible mathematics / no future theory could do better / proven absolutely irreducible." 

 This is a universal negative — unprovable in principle, for any object in any field. It is therefore dissolved as a non-target and is never listed as a wall. What survives is the bounded, in-grammar version: a uniqueness theorem relative to a stated category , a selected-not-forced shape, a measured anchor, or a named axiom. Those are the real walls above. Recording the unicorn as "open" would be false openness; promoting it to "closed" would be false closure. Both are refused here.

 Honest summary

 33 gates. Live board: 31 RESOLVED · 1 one bounded step (Gap-13) · 1 live falsifier (SG-8) — see The Gates for the authoritative per-gate status.

 All three deep roots — Shape, Scale, Granularity — are closed. The gauge sector, chiral matter and three generations, flavor (all CKM/PMNS magnitudes and both CP phases from one constant and one angle), the quantum-consistency series, gravity, and the cosmology gates all reach terminals.

 Two items remain honestly open: Gap-13 (black-hole microstates) sits one bounded normalization step from closing; and SG-8 carries the theory’s single live falsifier — the geometry-forced up-quark mass is ~4.4σ from measurement, displayed rather than hidden.

 Each gate below is mapped to the frontier wall it addresses. Anchored rests on a named floor (a closed terminal); a complete candidate is offered for review, not asserted as proven. 

 Cross-links

 Prioritised open-item attack list: Residuals page (2026-06-30) 

 Anchor system: Anchor hierarchy overview · Master anchors · $a_0$ master anchor 

 The keystone: Gap-01 $a_6$ ledger · W3 — $a_6$ Seeley–DeWitt 

 Shared frontier: W1 — UV completion · W2 — continuum existence · UQF-9 ledger 

 Live falsifiers: W6 — flavor / $m_u$ · W12 — baryogenesis CP-source 

 Every gate row above links directly to its anchor ledger and full dossier.