Claims & Evidence Registrar › H02

LIB2-034 · Casimir-naturality excludes the adopted action-shape target

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 7

Label sentence at the locator (PDF p.172 (bytes of record)):

Casimir-naturality excludes Φdiag ; it is a refuter, not a selector

Statement

In the declared coefficient class, imposing A = f(CKdyn) excludes the nonzero Φdiag target rather than selecting it.

Scope

carrierThe coefficient carrier p70 and its Kdyn Casimir
domainBoth source-stated readings exclude the nonzero target.
groupKdyn
hypothesesA is constrained to be a function of the Kdyn Casimir.; The nonzero target obeys 27z = t.; The support-69 reading is an additional priced premise, not the literal full-carrier class.
quantifierThe declared class only.
What this does not show. Casimir-naturality is an additional multiplicity-blind principle, not a consequence of ordinary equivariance.

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 E, §8, Casimir-naturality: conclusion — PDF p.178 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

Casimir-naturality excludes Φdiag ; it is a refuter, not a selector

Appendix E, §8, Casimir constraints in the two readings — PDF p.178 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → SUPPORTS · the lanes disagreed; resolved by PI ruling R80 as SUPPORTS — R80 (S327): the principal investigator ruled the four disputed readings of read round 2 (D1289/D1290); a use resolved by ruling never anchors PUBLISHED

A = f (C) forces u = v = w = z = 0 (literal carrier; cut 5 → 1) or u = v = w, z = 0 (support-69 reading, an extra priced premise; cut 5 → 2).

Appendix E, §8, Casimir-naturality is additional — PDF p.178 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

A = f (C) is not forced by ordinary equivariance (the symmetric commutant has dimension 38; functions of the Casimir form a 4-dimensional centre) — it is a further multiplicity-blind naturality principle.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
computationals1083; D1220/A1533, Appendix E §8, pp.171–172—unknownThe suite reports this computation; the kernels and their outputs are not supplied in this round.

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-028 The action-shape principle is adopted rather than intrinsically selected—
related_to (never evidential)LIB2-033 The banked refined-condition inventory does not select Φdiag—
cited_by_sectionE-C04.2.claims-used (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0080
cited_by_sectionE-C04.2.derivation (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0127
cited_by_sectionE-C04.2.sources-receipt (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0150

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

states a predicateyes
uses on the record · unblocked3 · 3
uses any lane has read3 of 3
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesyes (2)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

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 idsC-FSEL-C-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.
serialsD1220 A1533 s1083
candidate ids (frozen list S304)C2-121

Drafting-lane note

Casimir-refuter child of C2-121. The two carrier readings and their distinct conditions are preserved; no formula for a selected physical action is supplied.

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 bf3576d9d525856baad5c51d1a6e6efb1b57ff9109109ed7df59256757cc3d48

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-034 | 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