PUBLISHED under R67 (condition T-B) — NOT house-adjudicated. Build S371a. What PUBLISHED means here (R72): two non-drafting AI lanes (gemini + grok) read this record's anchor citation on different objects and agreed it SUPPORTS the record's statement; no citation on the record is disputed as support; its machine certificate is current. What it does not mean: no person has signed off on this record (adjudication: NOT_ADJUDICATED), the drafting lane's own reads count for nothing, and 3 of 3 unblocked uses were REVIEWED — the rest were read by one lane or none. Every label shown is the label as printed in the suite of record (Rev33.1_S369 (PDF sha256 b64ddcd9e16a6dcd…)); no house tier is assigned. The state is recomputed from the uses on every build and is withdrawn if they stop justifying it. Receipt: condition R67-TB · anchor SU-519e929e9bd30ae27286c058 · master 4e63749e7f82b426 · S337.

LIB2-135 · The spectral-gap model imposes its self-consistency through the lifted cone trace

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 8

Label sentence at the locator (PDF p.209 (bytes of record)):

The mechanism is a degeneracy-driven pole — closer to spectral localization than to asymptotic freedom — not a strong-coupling limit.

Statement

In the stated spectral-singularity model, T(ε) = A/ε and ε = m² = αA give αT = 1 and the scale relation Λ² = αA.

Parts of the statement (2)

Each part is a clause of the statement above, cut so that one part makes one claim. A reader naming the clause a quote supports can name the part.

p1 · T(ε) = A/ε and ε = m² = αA give αT = 1 (one claim)
p2 · the scale relation Λ² = αA. (one claim)

Scope

carrier	The lifted null-cone eigenspace and its spectral trace
domain	The structural spectral-singularity mechanism, not a numerical prediction of the confinement scale.
hypotheses	Lift the stated eigenspace by the mass parameter ε.; Let A be the cone-Hessian trace over the lifted sector and impose the printed self-consistency condition.
quantifier	The registered construction and its stated hypotheses.
real form	The registered cubic-norm cone

What this does not show. The relation does not determine a numerical confinement scale independently of its coupling and calibration inputs.

Scientific status: UNDER REVIEW — the house has not adjudicated CURRENT / CONTESTED for this record (charter §10.3); a drafted claim is a claim under review, not a result.

Sources in the suite of record

Key — use ≠ record. A review state printed on a source use below names that use — one citation of the suite, read by the lane named in its warrant — not this record. The record's own review state is the one in the table above and is unchanged by any use-level state; a use may be LANE_PROPOSED or REVIEWED while the record it sits on remains IN_REVIEW (R45, R49).

Quotes are verbatim from the sha-pinned text extraction of the Rev33.1 PDF (A1584 §2.2, S309): mathematical typography — radicals, exponents, ≅ — can appear displaced in the extracted line. The PDF page is authoritative; the quote is what the machine gate matched.

Appendix I, §6, Proposition 6.3: trace and self-consistency — PDF p.218 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

Lifting the null-cone eigenspace by a mass ε gives a spectral trace T (ε) = A/ε, with A the trace of the cone Hessian over the lifted sector.

Appendix I, §6, Proposition 6.3: scale relation — PDF p.218 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

At the self-consistent point ε = m2 = αA one has α T = α (A/αA) = 1 exactly, independent of α, fixing a confinement scale Λ2 = αA with the coupling weak throughout.

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_i_dynamics_bounce.tex:481-483): At the self-consistent point ε=m²=α A one has α T=α (A/α A)=1 exactly, independent of α, fixing a confinement scale Λ²=α A with the coupling weak throughout. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Appendix I, Hadronic scope fence — PDF p.220 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

The framework models the confinement scale ΛG2 (Prop. 6.3; one ΛQCD -like calibration input, App. X) and the confinement mechanism (Props. 6.1–6.3, structural).

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	L-HybridMassGap; Appendix I §6, Proposition 6.3 and scope fence, pp.209–210	—	shipped	The source states the model’s self-consistency relation. Its original house-file body and a physical pole calculation are not supplied.

The numbers this record declares, and where each one's digits come from

This table covers the values this record DECLARES, not every numeral printed on this page: group labels such as E7(7), section numbers and page numbers are not declared values and are not listed here.

value as printed	page	digit source
`2`	PDF p.209 (bytes of record)	closed form: T(ε) = A/ε, ε = m2 = αA, αT = 1 and Λ2 = αA in Proposition 6.3
`1`	PDF p.209 (bytes of record)	closed form: T(ε) = A/ε, ε = m2 = αA, αT = 1 and Λ2 = αA in Proposition 6.3

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-128 The light-quark constituent proxy uses the fitted hadronic anchor	—

Why this record is PUBLISHED (R67, condition T-B)

states a predicate	yes
uses on the record · unblocked	3 · 3
uses any lane has read	3 of 3
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes	yes (2)
a SUPPORTS use on the predicate is DISPUTED	no
machine certificate current	yes

Machine certificate (R68)

state MACHINE_CHECKS_PASSED

policy sgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311

bound to master aad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)

checks

check	result	reason
`schema_valid`	PASS	exercised
`basis_current`	PASS	exercised
`quote_located`	PASS	exercised
`labels_literal`	PASS	exercised
`edges_resolved`	PASS	exercised
`bindings_valid`	PASS	exercised

A certificate says the record is well-formed, current, quote-on-page, label-literal, edge-resolved and binding-consistent on the bytes it was issued on. It is not a review, and it goes STALE the moment the master moves under it (R68). It is one conjunct of the PUBLISHED condition (R67), never the whole of it.

History

March library (v1) antecedents	no legacy antecedent identified
candidate ids (frozen list S304)	C2-160

Drafting-lane note

C2-160 is recovered from the current suite’s mechanism statement. No legacy spectral-trace numeral is restored, and no physical S-matrix pole is inferred from the model pole.

Receipt

round D1253 · parsed 2026-09-06T00:06Z · machine gates passed: CONTRACT, G1-quote-on-page, G2-numerals-declared, G4-ids-resolve, DAG-acyclic · content sha256 34ea7dfca662c55c866d89d4dbcbb06dc465d073d01e0059bf4ba228232f6423

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-135 | PASS or FAIL(G1–G8) or NOT RUN | quote | PDF page | one sentence. G1 source supports the exact scoped assertion · G2 evidence class fits (numbers ≡ digit source) · G3 labels as printed, not converted · G4 comparison typed · G6 public scope · G7 history real · G8 caution present and true. Machine surfaces: index.json · capsule.md.

Generated from library_v2.jsonl. Declared volatile fields (R36): BUILD_STAMP.
BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02