Claims & Evidence Registrar › H06

LIB2-119 · The same-block Peirce contraction extracts the unit middle weight

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.140 (bytes of record)):

the cubic invariant, evaluated on the carrier field ΦH in the (1, 3) Peirce block, extracts the middle vacuum weight λ2 = 1.

Statement

In the registered same-block (1,3) Peirce carrier, the cubic invariant extracts the middle vacuum weight λ2 = 1.

Scope

carrierThe same-block carrier fields and the golden vacuum contraction
domainThe internal carrier eigenvalue, not the literal cross-block Standard-Model Yukawa.
hypothesesPlace the two carrier fields in the same (1,3) Peirce block.; Use the source's Freudenthal cross-product and trace normalization.
quantifierThe registered construction and its stated hypotheses.
real formJ3(Os)
What this does not show. The unit carrier eigenvalue does not identify the physical Higgs, the renormalized coupling or the Planck scale.

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 A, §A.6, W01: internal carrier result — PDF p.145 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

the cubic invariant, evaluated on the carrier field ΦH in the (1, 3) Peirce block, extracts the middle vacuum weight λ2 = 1.

Appendix A, §A.6, Physical Higgs and Yukawa placement — PDF p.145 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

the literal SM Higgs Hu,d sits in the vector 10 and the physical Yukawa is the cross-block triple, A686–A689

Appendix A, §A.6, Contraction conclusion — PDF p.145 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

so the multiplicative Yukawa factor is exactly the middle eigenvalue λ2 = 1.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
analyticA674; Appendix A §A.6, Eqs. (30)–(32), p.140—shippedThe source prints the same-block contraction; this record does not recompute it or export it to a physical coupling.

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
1PDF p.140 (bytes of record)closed form: the (1,3) carrier contraction extracts λ2 = 1 in Appendix A §A.6
3PDF p.140 (bytes of record)closed form: the (1,3) carrier contraction extracts λ2 = 1 in Appendix A §A.6
2PDF p.140 (bytes of record)closed form: the (1,3) carrier contraction extracts λ2 = 1 in Appendix A §A.6

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-108 The explicit B-map fixes a loaded one-generation field dictionary—

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
serialsA674
candidate ids (frozen list S304)C2-016

Drafting-lane note

Internal-carrier child of C2-016. The same-block convention is not the literal B-map Yukawa container. W01's physical attachment is recorded separately, with no theorem label inferred from the local heading.

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 b3f7c3fba3390dd13c5b59bb868277a939118f9188c57a9f95e2d598a7150290

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-119 | 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