Claims & Evidence Registrar › H02

LIB2-028 · The action-shape principle is adopted rather than intrinsically selected

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.297 (bytes of record)):

It is not intrinsic: it identifies the units of three inequivalent primitive generator lines (inequivalent by Theorem 9.3’s Casimir separation), and independent generator rescaling moves the selected action.

Statement

Within the minimal-word class, the adopted relations Φdiag = {v = 0,w = 0,u = t,27z = t} isolate the Fchar orbit, but their selection is non-intrinsic and changes under independent generator rescaling.

Parts of the statement (3)

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.

Scope

carrierCoefficient relations on inequivalent primitive generator lines
domainThe adopted action-shape section in the named class, not a consequence of ordinary equivariance.
hypothesesRestrict to the minimal-word class.; Adopt v = 0, w = 0, u = t and 27z = t as the declared structural principle.
quantifierThe declared class only.
What this does not show. Adopting these relations does not derive nature's nonlinear action or remove the separate loaded boundary datum.

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 S, §9.4, Priced axiom 9.5: adopted relations — PDF p.314 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The clause Φdiag : {v = 0, w = 0, u = t, 27z = t} — four coefficient relations — isolates exactly the Fchar orbit and is minimal in codimension (dropping any one relation restores a projective one-parameter family).

Appendix S, §9.4, Non-intrinsic selection — PDF p.314 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

It is not intrinsic: it identifies the units of three inequivalent primitive generator lines (inequivalent by Theorem 9.3’s Casimir separation), and independent generator rescaling moves the selected action.

Appendix S, §9.4, Full adopted principle — PDF p.314 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The full adopted principle is therefore: word minimality, plus the four diagonal relations.

Appendix E, §8, Refined-condition search boundary — PDF p.178 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

F-SEL(c) closes negative at the current banked class and condition inventory.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryPI adoption S279; A1516, Appendix S §9.4, pp.297–298—shippedThe adoption and its non-intrinsic status are printed in the supplied source.
computationals1054–s1055, Appendix S §9.4, pp.297–298—unknownThe source reports class enlargement and coefficient freedom; no kernel or output is supplied here.

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 printedpagedigit source
0PDF p.297 (bytes of record)closed form: the four Φdiag relations printed in Priced axiom 9.5
27PDF p.297 (bytes of record)closed form: the four Φdiag relations printed in Priced axiom 9.5

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-027 The declared action-completion class retains nonlinear-shape freedom—
related_to (never evidential)LIB2-026 A rank-character action represents the selector Hessian—
cited_by_sectionE-C04.2.claims-used (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0074
cited_by_sectionE-C04.2.derivation (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0121
cited_by_sectionE-C04.2.prior-art (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0094
cited_by_sectionE-C04.2.sources-receipt (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0144

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

states a predicateyes
uses on the record · unblocked4 · 4
uses any lane has read4 of 4
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesyes (3)
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-PHIDIAG-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.
serialsA1516 s1054 s1055
candidate ids (frozen list S304)C2-108

Drafting-lane note

Adoption child of C2-108. Priced axiom 9.5 is a local heading, not a scorecard tier. The wider refined-condition search is recorded separately under C2-121; it is not reopened here.

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 0f06a45b79b7018824b0ad98958891d78284585115b4c7bee38eac7a32795ad0

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-028 | 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