Claims & Evidence Registrar › H10
Does the sourced heat-kernel action yield an AdS linearized spectrum consistent with linearized general relativity?
| carrier | The sourced heat-kernel action and its constrained gravitational sector |
|---|---|
| domain | The universality test beyond finite-regulator measure existence. |
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, Theorem 8.6: remaining Einstein object — PDF p.324 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT
Einstein universality — the AdS linearized spectrum of the sourced heat-kernel action — is the remaining named object.
Paper 7, §6, Item 5: Einstein-universality test — PDF p.119 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT
Compute the AdS linearized spectrum of the sourced heat-kernel action. A spectrum inconsistent with linearized general relativity falsifies the gravity-measure programme at the tier where its existence is already closed.
Appendix T, §7, Proposition 7.4: gravity and continuum requirements — PDF p.322 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT
a simplicity/constraint mechanism giving GR rather than Cartan Yang–Mills; and the continuum RG limit.
| kind | reference | line / key | availability | note |
|---|---|---|---|---|
| registry | Appendix T §§7–8, pp.305,307; Paper 7 §6, p.115 | — | shipped | The source names the missing spectrum and its failure condition; no linearization or constraint calculation is executed here. |
| charter ref | Rev32.7 Appendix T §8, Theorem 8.6, p.307; Paper 7 §6, item 5, p.115 |
|---|---|
| failure or reopen condition | A spectrum inconsistent with linearized general relativity falsifies the gravity-measure programme under the printed test. |
| obstruction | A positive finite-regulator state and nonlinear simplicity measure do not establish the required gravitational spectrum or continuum limit. |
| question | Is the AdS linearized spectrum of the sourced heat-kernel action consistent with linearized general relativity? |
| success condition | Compute the named linearized spectrum and establish its agreement with linearized general relativity at the stated tier. |
| type | target | licensed by |
|---|---|---|
related_to (never evidential) | LIB2-170 A reflection-positive Cartan state exists at finite regulator | — |
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 | — |
related_to (never evidential) | LIB2-192 A soft positive simplicity weight exists at finite regulator | — |
| 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 | 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.
| 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 |
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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.
| March library (v1) antecedents | no legacy antecedent identified |
|---|---|
| Track-2 claim ids | F-EIN-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 | A1444 s922 |
| candidate ids (frozen list S304) | C2-087 |
C2-087 remains OPEN. The candidate’s constraint-analysis requirement is kept with the source’s simplicity and continuum qualifications; no spectrum calculation is claimed.
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 0ad4b04ac121c07b023837245b5737a5b473a70e41ca0ade8abb1609b104cff3
Reviewer verdict line (one per entry, as text): LIB2-301 | 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