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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-df26f9cfbfd505487c2684e0 · master 6d82da907c52e8e6 · S329.

LIB2-091 · The declared invariant-connection class cannot cancel the holonomy obstruction

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.183 (bytes of record)):

left-E7(7) -invariant principal SU (8) connections compatible with Ω and the loaded Ksel .

Statement

Within the declared left-E7(7)-invariant principal SU(8) connection class, the forced canonical connection has full SU(8) holonomy escaping Ksel, so no connection in that class cancels the obstruction.

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 · Within the declared left-E7(7)-invariant principal SU(8) connection class, the forced canonical connection has full SU(8) holonomy escaping Ksel (one claim)
p2 · no connection in that class cancels the obstruction. (one claim)

Scope

carrier	Principal SU(8) connections on the registered symmetric-space carrier
domain	The holonomy obstruction, not a topological nonexistence of all reductions or connections.
group	Left E7(7) invariance; principal SU(8)
hypotheses	Use the declared invariant-connection class compatible with Ω and the loaded Ksel.; The source’s Schur/Wang step leaves only the canonical symmetric-space connection.
quantifier	Only the declared invariant-connection class.
real form	E7(7)/SU(8)

What this does not show. This class-relative obstruction is not a topological no-section theorem and does not exclude a non-equivariant preserving connection.

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 F, §8, Declared connection class — PDF p.189 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · the lanes disagreed; resolved by PI ruling R89 as CONTEXT — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

left-E7(7) -invariant principal SU (8) connections compatible with Ω and the loaded Ksel .

Appendix F, §8, Full holonomy and the kill condition — PDF p.189 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

Ambrose–Singer returns Hol = SU (8) in full. The holonomy therefore escapes Ksel , and by Step 1 there is no other connection available to cancel it.

Appendix F, §8, Non-equivariant reduction remains possible — PDF p.189 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

What remains inhabited after the kill is a non-equivariant Ksel reduction σsel carrying a preserving connection

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s1014, s1015; A1496, Appendix F §8, p.183	—	unknown	The source reports rebuilding the uniqueness and holonomy steps. Their code and outputs are not supplied in this round.

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
`7`	PDF p.183 (bytes of record)	suite text p.183: E7(7) invariance and full SU(8) holonomy; no kernel line found
`8`	PDF p.183 (bytes of record)	suite text p.183: E7(7) invariance and full SU(8) holonomy; no kernel line found

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-021 The finite loaded-profile parent action has its stated stable minimum	—
`related_to` (never evidential)	LIB2-045 The braid/trace grammar cannot select the boundary source datum	—

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 (1)
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
serials	A1496 s1014 s1015
candidate ids (frozen list S304)	C2-105

Drafting-lane note

Additional source-printed obstruction, associated with the nearest parent-selector candidate C2-105. The connection-class hypothesis and the surviving non-equivariant reduction travel with the statement; no general claim that all compensators fail is added.

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 05b6eedb6981f7f463162b3fe1bfa6152878cbe6c8d3ebd84757d37d85ec09fa

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-091 | 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