IN_REVIEW — NOT CITABLE. Under coalition review; not house-adjudicated. This page was generated (build S371a) from a drafting-lane record. Clearance here is a MACHINE CERTIFICATE under the ruled policy (v1.0 RATIFIED, R68), not a review: it is MACHINE_CHECKS_PASSED — contract · quote-on-page · declared numerals · id resolution · acyclic graph · basis current — and that is a statement about the intake gates, not scientific clearance. It is NOT HOUSE_ADJUDICATED: no person has signed off on this record, and 0 of 357 records have been. No tier has been assigned by the house; every label shown is the label as printed in the suite of record (Rev33.1_S369 (PDF sha256 b64ddcd9e16a6dcd…)). Adversarial review by a lane that did not draft it is also still owed. Nothing on this page may be cited as a result of the programme until its state reads PUBLISHED — a state written only by the R67 transition producer when a REVIEWED SUPPORTS use, read by two non-drafting lanes, stands on the record's predicate.

LIB2-190 · No positive path in the declared heat-kernel family reaches pure MM/EH

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

Label sentence at the locator (PDF p.307 (bytes of record)):

But α = 0 lies outside even the closed cone: no continuous positive path in this family reaches pure MM/EH.

Statement

No continuous positive path in the declared anisotropic heat-kernel family reaches the nonzero pure MacDowell–Mansouri/Einstein–Hilbert weight.

Scope

carrier	The positive anisotropic heat-kernel family and the pure MM/EH target
domain	The declared positive-path obstruction, not every constrained gravity construction.
hypotheses	Restrict the path to the coefficient family and positive cone in Proposition 8.5.
quantifier	The registered construction and its stated premises.

What this does not show. This excludes only the stated path in this family, not a nonlinear simplicity-constrained completion.

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, §8, Proposition 8.5: positive-path obstruction — PDF p.324 (bytes of record)
review state: LANE_PROPOSED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

But for β ̸= 0, α = 0 lies outside even the closed cone (the apex (0, 0) is in its closure; the no-path result concerns the nonzero pure-MM weight — Rev32.9, A1677 F03): no continuous positive path in this family reaches pure MM/EH.

Appendix T, §8, Proposition 8.5: distinct constraint route — PDF p.324 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

The named route is a simplicity/Plebanski-type constraint sector projecting the positive Cartan measure onto a gravitational subspace.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	Appendix T §8, Proposition 8.5, p.307; s921-U3	—	shipped	The source states the class-relative path obstruction and a distinct constraint route; no path search is performed here.

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-171 The pure MacDowell–Mansouri quadratic form is not a positive covariance	—
`related_to` (never evidential)	LIB2-172 The positive completion cone has a strict coefficient domain	—
`related_to` (never evidential)	LIB2-189 The anisotropic heat-kernel family has nonlinear OS positivity in its cone	—

Why this record is not PUBLISHED (R67, condition T-B)

states a predicate	yes
uses on the record · unblocked	2 · 2
uses any lane has read	2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes	no (0)
a SUPPORTS use on the predicate is DISPUTED	no
machine certificate current	yes

Not PUBLISHED because no use on it has been read as SUPPORTS by two non-drafting lanes on different objects. The transition is written only by the R67 producer and recomputed by a gate on every build; no person promotes a record by hand.

Referee findings (R73)

Raised by a lane acting as referee and re-measured by the house before being listed (a lane's word alone is not a finding). Only a CONFIRMED finding against the record's predicate blocks PUBLISHED; the others are printed so a reader sees them.

finding	scope	state	what	evidence	affects this record's predicate?
`A1677-F03` A1677	PROOF	CLOSED 2026-09-17	A proof line says 'α = 0 lies outside even the closed cone', but (0,0) is in the closure of α > \|β\|. The no-path result concerns the nonzero pure-MM weight (β ≠ 0, α = 0), which does lie outside; the record's conclusion stands, the printed step does not. How it was closed: R133 D-2 (PI, S342): Rev32.9 fix (S338.2 amendment) landed; LIB2-190 re-typed by R130 row 18 (nonzero pure-MM weight); uses REVIEWED in round 22.	appendix_t_cartan_observation.tex:508 (Rev32.7) paper: REV32.9_CHANGELOG S338.2 amendment (landed in Rev32.9)	closed

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-SIGN-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	A1443 s921
candidate ids (frozen list S304)	C2-095

Drafting-lane note

Path-obstruction child associated with C2-095. It differs from the pure quadratic-form inertia and does not deny the positive finite-regulator state.

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 64740ec33ff23a3842bfdcfb3497bed828754dd6c752c33425a1972b80e4c941

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-190 | 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