Claims & Evidence Registrar › H09

LIB2-292 · Superseded electromagnetic-subtraction formula for the weak angle

class RETIREDmath status (as printed) —attachment (as printed) —scorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 7

Statement

The archived weak-angle proof prompt proposed an electromagnetic subtraction from the golden tree target as a one-loop correction.

Scope

domainThe specific subtraction formula in P70, distinct from the logarithmic and cylinder-running proposals.
What this does not show. The current structural target is not a completed radiative prediction, and the replacement does not exclude all electromagnetic corrections.

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 4, §7, Current weak-angle target and precision boundary — PDF p.77 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

We therefore carry ϕ−3 as a ∼ 2% structural tree-level target on the electroweak curve, not as a completed Z-pole precision prediction.
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/p4_higgs_ewsb.tex:339-340): We therefore carry ϕ⁻³ as a ∼2% structural tree-level target on the electroweak curve, not as a completed Z-pole precision prediction. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Paper 4, §7, Radiative shift is not selected — PDF p.77 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

as a tree value bridged by standard electroweak radiative corrections, the required shift is not uniquely fixed

Paper 4, §7, Independent polarization postulate — PDF p.77 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

The value identity establishes the readout once AX6pol is assumed; it does not derive or select AX6pol , which remains an independent postulate at tier.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryLibrary v1 P70; Paper 4 §7, Current weak-angle target and precision boundary, p.73—shippedThe archive supplies titles and workflow metadata, not original production bodies. The current-suite replacement is quoted; no historical derivation, numerical result or retirement chronology is independently verified.

What was said, and what retired it

historical statementP70: sin²θ_W = 1/φ³ − 2α/π — One-Loop EM Correction (gap 0.088%)
where it stoodLIBRARY_V1_GROK_ARCHIVE_S304.md, P70
retiring decisionnot located in suite; current-target replacement in Paper 4, p.73
what the suite prints now
We therefore carry ϕ−3 as a ∼ 2% structural tree-level target on the electroweak curve, not as a completed Z-pole precision prediction.
PDF p.73 (bytes of record)
successor recordsLIB2-199 The weak-angle value remains a structural target on a scheme-dependent curve, LIB2-200 The AX6 polarization postulate gives its readout without selecting itself
why retiredRELATION_NOT_RECORDED — the retiring decision names only what replaced the claim ("not located in suite; current-target replacement in …"); the reason the old claim went was never recorded, and the house does not infer one from a pointer (R42 census S322, ruled R69).
archive row locatedLOCATED — 1 of 1 parts found in LIBRARY_V1_GROK_ARCHIVE_S304.md (sha256 28f35aac4e91e1ca…) (locator 8db2c73d69dff9f1, S339)
the archive rows, verbatim
LIBRARY_V1_GROK_ARCHIVE_S304.md, line 319
| P70 | proof | 2.F | Paper 2 Proofs | Paper 2 — Flavor Sector from Peirce Perturbations | awaiting_production | prompt_ready | yes | P70: sin²θ_W = 1/φ³ − 2α/π — One-Loop EM Correction (gap 0.088%) |
does the archive attest it?REVIEWED · ATTESTS
  • gemini · ATTESTS · ARCHIVE_TEXT_SUPPLIED (D1341, A1694) — HIGH — The row outlines the formula sin²θ_W = 1/φ³ − 2α/π as a "One-Loop EM Correction".
  • grok · ATTESTS · THE_RECORD (D1340, A1693) — HIGH — P70 is `sin²θ_W = 1/φ³ − 2α/π — One-Loop EM Correction`.

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

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 lanesno (0)
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_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) antecedentsP70
candidate ids (frozen list S304)C2-014

Drafting-lane note

The old subtraction and quoted percentage are title-level assertions only. No loop diagram or numerical shift is calculated. The suite's current independent premise and unresolved radiative matching are retained instead of treating the old near-match as a derived correction.

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 669902cfadee67974a9941d4ff88e06d93500eee42454e0700305001af0b57f6

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-292 | 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