Claims & Evidence Registrar › H09

LIB2-245 · Retired physical use of the PSL class-algebra sign argument

class RETIREDmath status (as printed) —attachment (as printed) —scorecard tier word (as printed) none printedhouse tier not yet assignedreview state IN_REVIEWentry version 8

Statement

The earlier class-algebra argument used a vanishing structure constant to select the sign of a leptonic phase formula; the current print types δCP = −2π/√5 = −160.997° Derived-conditional (Rev29 re-tiering; the pre-Rev29 stamp was Theorem ⋆100), from the V3 rotation and not from that argument.

Scope

domainThe deprecated phase-derivation application, not the retained class-algebra coefficients.
What this does not show. The pure class-algebra constants survive, and the old phase expression remains only as a labelled cross-check.

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.

Paper 8, §2, Retired physical use of the class-algebra constants — PDF p.122 (bytes of record)
review state: LANE_PROPOSED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

That application is deprecated. The authoritative CP phase is δCP = −2π/ 5 = −160.997◦ from the V3 rotation (Derived-conditional after the Rev29 re-tiering; pre-Rev29 stamp ⋆100; Paper 5, Appendix C), which does not involve PSL(2, 7) at all;

Paper 8, §2, Cross-check is not a phase derivation — PDF p.122 (bytes of record)
review state: LANE_PROPOSED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

the 2π/7 expression survives elsewhere in the suite only as an explicitly labelled cross-check and must not be re-introduced as a derivation.

Paper 8, §2, Class algebra retained without a load-bearing role — PDF p.122 (bytes of record)
review state: LANE_PROPOSED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → SUPPORTS

The constants above therefore have no load-bearing role left anywhere. They are recorded because the algebra is correct, not because anything rests on it.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryC2-172 L-StructConst_PSL27_structure_constants.md; Paper 8 §2 p.118—shippedThe suite prints the old application and explicitly deprecates it while retaining the pure algebra. The character-table computation is not rerun.

What was said, and what retired it

historical statementThe class-algebra sign argument left −arccos(−1/3) − 2π/7 = −160.900° as the only allowed phase sign.
where it stoodPaper 8 §2 p.118, old chirality application; C2-172 L-StructConst_PSL27_structure_constants.md
retiring decisionApplication deprecated in Paper 8 §2; S174 APPLICATION SUPERSEDED flag; class algebra itself retained
what the suite prints now
That application is deprecated. The authoritative CP phase is δCP = −2π/ 5 = −160.997◦ from the V3 rotation theorem (⋆100; Paper 5, Appendix C), which does not involve PSL(2, 7) at all;
PDF p.118 (bytes of record)
successor recordsLIB2-062 The leptonic Dirac-phase readout remains conditional
why retiredscientific_supersession — from the record's own words: LEGACY_SUPERSEDE_FLAG → "SUPERSEDED"

A successor is linked, never "derived from" the retired statement (charter §10.10).

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-057 The retained PSL class-algebra coefficients—

Why this record is not 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 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_literalN/Aclass RETIRED not governed by the source_labels rule
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
serialsD161
candidate ids (frozen list S304)C2-172

Drafting-lane note

Only the physical application is retired. G-061 records the surviving coefficients; the equality with a group dimension is not promoted to a mechanism. The historical numeric phase has a source at p.118 but is not recalculated or compared anew.

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 00120f5b500ac07f8e790412999e5274f674825a14429d467cfa8c03b2a9816b

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-245 | 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