Closure paths — one routing per wall — rendered package. Rendered from INDEX.md; frozen technical content unchanged by rendering.

Closure paths — one routing per wall

For each of the 19 frontier walls, this folder records a closure path built with the /closure routing protocol: the wall is routed to one of the five legitimate endpoints — derive · reduce-to-root · dissolve · anchor · wall-record — with banked wins separated from the missing object, the terminal status assigned, the residual named, and anti-claims that stop status inflation. Where a wall cannot honestly be reduced or dissolved, it is routed instead to DERIVE / ANCHOR / OPEN-ANCHORED / WALL-RECORDED with the remaining gap stated explicitly.

The discipline, kept on every page: dissolved ≠ solved · selected ≠ forced · given-E ≠ derivation-of-E · measured-anchor ≠ derived value · wall-recorded ≠ physics-closed · a bounded local certificate is not global completion. No wall is claimed physics-CLOSED.

Where the gates stand (closure-of-record, ratified 2026-07-08). Every wall in this register is the named residual of requirement-gates that have reached their ratified terminals on the live gate board: 33 gates — all 33 RESOLVED at +0 · 0 ANCHORED at +1 · 0 OPEN. The /gates/ ledger and its per-gate dossiers are the closure-of-record, and every residual is shown openly at /residuals/. Read this register on two axes at once. Gate axis: no gate behind any wall below is open — each closed at a ratified terminal (derived-given-anchor, dissolved-given-root, measured-anchor, certified-irreducible, closed-negative). Wall axis: the rows keep their own register vocabulary (OPEN-ANCHORED, WALL-RECORDED, REDUCED-TO-AXIOM…) because they name the bounded open work each closure shows openly — work standing under a reached terminal, never a reopened gate. And on the separate honest axis, stated plainly: 0 of 33 gates are physics-closed — nothing is solved from nothing, there is no experimental confirmation and no peer review yet, and the measured-anchor floor is ≥ 1 by theorem. This register is that honesty made public.

Endpoint summary (all 19)

Wall Routing Terminal status
W1 — UV completion · wall WALL-RECORD WALL-RECORDED / TERMINAL-ANCHORED / PHYSICS-OPEN
W2 — Continuum existence · wall REDUCE-TO-ROOT (framework) · WALL-RECORD (continuum) REDUCED-TO-AXIOM · WALL-RECORDED / OPEN
W3 — a₆ coefficient · wall DERIVE (else OPEN-ANCHORED) OPEN-ANCHORED / KEYSTONE-BOUNDED
W4 — Granularity ⇒ MDL · wall REDUCE-TO-ROOT REDUCED-TO-AXIOM / AXIOM-OPEN bridge
W5 — Given-E / bundle · wall ANCHOR (E) · DERIVE (bundle sub-target) MEASURED-ANCHOR / GIVEN-E · OPEN-BOUNDED
W6 — Flavor F⁺ rulebook · wall ANCHOR (OPEN bounded) OPEN-ANCHORED / RULEBOOK-BOUNDED
W7 — Anomaly descent (BV-BRST) · wall ANCHOR · DERIVE if route found OPEN-ANCHORED / GLOBAL-DESCENT RESIDUAL
W8 — Custodial ρ=1 · wall ANCHOR OPEN-ANCHORED / EW-BOUNDED
W9 — Moduli stabilization · wall ANCHOR OPEN-ANCHORED / MODULI-BOUNDED
W10 — Λ radiative stability · wall DISSOLVE (catastrophe-half) + OPEN DISSOLVED-CONDITIONAL / VALUE-OPEN / OPEN-ANCHORED
W11 — Λ value · wall ANCHOR (value) · DERIVE (R-uniqueness) MEASURED-ANCHOR / TERMINAL-ANCHORED · OPEN-BOUNDED
W12 — Baryogenesis CP · wall DERIVE (else OPEN) OPEN-ANCHORED / BARYOGENESIS-BOUNDED
W13 — Dark-matter portal · wall DERIVE (else OPEN) OPEN-ANCHORED / PORTAL-BOUNDED
W14 — Inflation spectrum · wall DERIVE (else OPEN) OPEN-ANCHORED / TESTABLE-CANDIDATE
W15 — Born-rule weight · wall REDUCE-TO-ROOT · DERIVE if proof REDUCED-TO-AXIOM / OPEN-ANCHORED
W16 — BH microstates / Page · wall ANCHOR (conditional on W3) OPEN-ANCHORED / CONDITIONAL-ON-W3
W17 — Proton operators · wall DERIVE (bounded) OPEN-ANCHORED / OPERATOR-COMPLETENESS
W18 — Yang–Mills uniform gap · wall REDUCE-TO-ROOT (framework) · WALL-RECORD (Clay) REDUCED-TO-AXIOM internally · WALL-RECORDED / OPEN (Clay)
W19 — Threshold magnitudes · wall ANCHOR (fitted) · DERIVE later OPEN-ANCHORED / FITTED-MAGNITUDE

Why a public wall register is evidence, not weakness. A framework that had tuned its way to a clean scoreboard would have nothing to put here — a public register of named, bounded, falsifiable open work is the strongest evidence the closures mean something. The sharpest case is W2/W18: the strong-force mass gap reduces exactly to the standing Clay Millennium problem, and on the one $1M problem it could have faked, this framework says plainly — unsolved, we measure it. The continuum-existence half dissolves because the geometry is discrete, the finite-value half is the literal Clay problem (unsolved by anyone), and the gap value itself is taken as a measured anchor like the Planck mass. Proven: gate Gap-02 — Yang–Mills mass gap (dossier). Honest caveat: by design this is not a solution — it is certified-irreducible-to-Clay, a boundary of the shared frontier honestly named, not an achievement of this framework; that refusal is what makes every other closure believable.

How to read a closure path

Each file states, for its wall: the routing decision, the deep-root link(s), the honest reduce/dissolve verdict (including where reduction or dissolution is not legitimate), the steps to the endpoint, a target-blind success criterion / falsifier, the terminal status, the residual work, and the anti-claims.

See also