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 4 of 4 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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-c70a2842944883a2db002fb5 · master c7e92a7e45eaadf0 · S342.

LIB2-193 · The registered Clifford construction has a one-particle bare gap

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 9

Label sentence at the locator (PDF p.310 (bytes of record)):

the MOS zero-momentum seed is the mass part of the derived Clifford Hamiltonian — a one-particle attachment, no coefficient chosen.

Statement

The registered one-particle gap is MN = Λ√(ϕ^(2N) + 1/4), with χlocal² = 1/4 only inside the attachment; the interacting pole is open, LSZ is open and occupancy is open.

Parts of the statement (6)

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 · The registered one-particle gap is MN = Λ√(ϕ^(2N) + 1/4) (one claim)
p2 · with χlocal² = 1/4 only inside the attachment (one claim)
p3 · the interacting pole is open, LSZ is open and occupancy is open. (cut further below)
p3-p1 · the interacting pole is open (one claim)
p3-p2 · LSZ is open (one claim)
p3-p3 · occupancy is open. (one claim)

Scope

carrier	The registered Clifford Hamiltonian and its zero-momentum MOS mass component
domain	The quasi-free one-particle gap, not a derived interacting mass spectrum.
hypotheses	Use the Riesz–Clifford isometry, self-adjointness, equivariance, orientation and whitened-source premises.; Retain the one-particle AX-MASS-LABEL attachment.
quantifier	The registered construction and its stated premises.

What this does not show. The bare gap does not derive an interacting rest mass, physical occupation or a successful exact single-χ ratio law.

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 T, §11, Proposition 11.3: one-particle attachment — PDF p.328 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → CONTEXT · the lanes disagreed; resolved by PI ruling R117 as CONTEXT — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

the MOS zero-momentum seed is the mass part of the derived Clifford Hamiltonian — a one-particle attachment, no coefficient chosen.

Appendix T, §9, Theorem 9.5: squared gap — PDF p.326 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

D2 = Λ2 (φ2N + 1/4)I exactly.

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_t_cartan_observation.tex:633): D²=Λ²(φ^(2N)+1/4)I exactly. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Appendix T, §9, Binding mass fence — PDF p.326 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

χ2 = 1/4 holds inside the at- tachment only. It is not a mass prediction.

Appendix T, §11, Proposition 11.3: interacting boundary — PDF p.328 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The interacting pole, LSZ and occupancy are all open, and the single-χ ratio no-go stands.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	A1446/A1448; s924/s927, Appendix T §§9,11, pp.308,310	—	unknown	The source reports the Clifford and one-particle identities. The Hamiltonian matrices and original verification outputs 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.310 (bytes of record)	closed form: one-particle gap in Proposition 11.3; the quarter is also printed in Theorem 9.5, p.308
`1/4`	PDF p.310 (bytes of record)	closed form: one-particle gap in Proposition 11.3; the quarter is also printed in Theorem 9.5, p.308

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-174 The record-quotient observation composite is unique under its seven premises	—
`related_to` (never evidential)	LIB2-106 The exact single-chi additive ratio completion fails on the registered support	—

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

states a predicate	yes
uses on the record · unblocked	4 · 4
uses any lane has read	4 of 4
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes	yes (3)
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
Track-2 claim ids	F-MASS-01 — cross-reference; the Track 1 / Track 2 join sets each one against what the sealed suite prints for this record. Where they differ, the suite is the record.
serials	A1446 A1448 s924 s927
candidate ids (frozen list S304)	C2-090

Drafting-lane note

Source-printed one-particle companion to C2-090, whose microscopic physical-attachment task remains OPEN. The root and quarter are typed from the displayed relations; quotations retain the extraction rather than repairing its layout.

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 35b451278e015cbbe208e9a6eb6c5b53e247e6115682f4bd3ba3d24b83511d55

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-193 | 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