Claims & Evidence Registrar › H07

LIB2-169 · The Euclidean MM/EH action has the stated conformal instability

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 7

Label sentence at the locator (PDF p.304 (bytes of record)):

the Euclidean MM/EH action is unbounded below in the conformal direction.

Statement

The Euclidean MacDowell–Mansouri/Einstein–Hilbert action is unbounded below in the conformal direction in the registered convention.

Scope

carrierThe Euclidean MM/EH action under conformal variation
domainThe stated conformal direction and sign convention, not every regulated gravitational measure.
hypothesesUse the source's conformal parametrization and MM/EH sign convention.
quantifierThe registered construction and its stated premises.
What this does not show. This sign obstruction does not exclude regulated positive measures or a constrained completion outside the pure weight.

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, §6, Theorem 6.7: conformal-mode obstruction — PDF p.321 (bytes of record)
review state: LANE_PROPOSED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

the Euclidean MM/EH action is unbounded below in the conformal direction

Appendix T, §6, Required measure control — PDF p.321 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

The missing object is precisely a reflection-positive contour, regulator or discrete measure controlling the conformal mode together with the constraints.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
computationals919-V9; A1441, Appendix T §6, p.304—unknownThe suite reports the conformal-kinetic identity and its sign. The symbolic verifier and output are not supplied in this round.

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-168 The trace-built MacDowell–Mansouri action is a signature-sector candidate—

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

states a predicateyes
uses on the record · unblocked2 · 2
uses any lane has read2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesno (0)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

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.

Machine certificate (R68)

stateMACHINE_CHECKS_PASSED
policysgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311
bound to masteraad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)
checks
checkresultreason
schema_validPASSexercised
basis_currentPASSexercised
quote_locatedPASSexercised
labels_literalPASSexercised
edges_resolvedPASSexercised
bindings_validPASSexercised

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) antecedentsno legacy antecedent identified
Track-2 claim idsF-CONF-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.
serialsA1441 s919
candidate ids (frozen list S304)C2-086

Drafting-lane note

C2-086 is the conformal-action obstruction. The local machine-proved heading is not copied into a Proved mathematical label or scorecard tier, and no new conformal calculation is performed.

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 5eb73e0c40aebc1bc81e7be15a29c11f2df3373609e12a8ab69da0dc4e737b00

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-169 | 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