Claims & Evidence Registrar › H09

LIB2-276 · Superseded resummed-electromagnetic charm formula

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 charm prompt proposed obtaining its mass from the top mass and a resummed electromagnetic-coupling factor.

Scope

domainThe specific electromagnetic-resummation charm formula of P67, not the current constituent-anchored bridge.
What this does not show. Replacing this formula does not establish a general electromagnetic-resummation no-go or complete the present mass-scheme conversion.

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 2, §3.6, Current charm boundary value and offset — PDF p.38 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

The charm bridge value mc = 1291.9 MeV lies +1.49% above the PDG 2026 MS comparator mc (mc ) = 1272.9 ± 4.5 MeV.
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/p2_mass_hierarchy_resolvent_quintics.tex:398-399): The charm bridge value m_c = 1291.9 MeV lies +1.49% above the PDG 2026 MS̄ comparator m_c(m_c)=1272.9±4.5 MeV. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Paper 2, §3.6, Equation (23): constituent-anchored bridge — PDF p.38 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

mc = 73 mconst s = 73 × 553.7 MeV = 1291.9 MeV (+1.49% vs PDG 2026; dcmp = +4.22, no status).

Paper 2, §3.6, Missing constituent-to-MS conversion — PDF p.38 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

the bridge is constituent- anchored and no constituent-to-MS conversion or scheme uncertainty is supplied;
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/p2_mass_hierarchy_resolvent_quintics.tex:401-402): the bridge is constituent-anchored and no constituent-to- MS̄ conversion or scheme uncertainty is supplied; (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryLibrary v1 P67; Paper 2 §3.6, Current charm boundary value and offset, p.37—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 statementP67: m_c = m_t × α/(1−α) — Charm from Resummed EM Coupling (gap 0.044%)
where it stoodLIBRARY_V1_GROK_ARCHIVE_S304.md, P67
retiring decisionnot located in suite; current-target replacement in Paper 2 §3.6, pp.36–37
what the suite prints now
The charm bridge value mc = 1291.9 MeV lies +1.49% above the PDG 2026 MS comparator mc (mc ) = 1272.9 ± 4.5 MeV.
PDF p.37 (bytes of record)
successor recordsLIB2-131 The charm bridge remains constituent-anchored and cross-scheme
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 317
| P67 | proof | 2.F | Paper 2 Proofs | Paper 2 — Flavor Sector from Peirce Perturbations | awaiting_production | prompt_ready | yes | P67: m_c = m_t × α/(1−α) — Charm from Resummed EM Coupling (gap 0.044%) |
does the archive attest it?REVIEWED · ATTESTS
  • gemini · ATTESTS · ARCHIVE_TEXT_SUPPLIED (D1341, A1694) — HIGH — The archive row presents the formula m_c = m_t × α/(1−α) and names it the "Resummed EM Coupling".
  • grok · ATTESTS · THE_RECORD (D1340, A1693) — HIGH — P67 is `m_c = m_t × α/(1−α) — Charm from Resummed EM Coupling`.

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) antecedentsP67
candidate ids (frozen list S304)C2-022

Drafting-lane note

The old expression m_c = m_t × α/(1−α) and its quoted gap are copied from P67's title only. No resummation or numerical agreement is verified. The current bridge has different stated inputs, and the two are not presented as equivalent.

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 66dca5d974252a5eaa6c10cfbf6d6bb6610bbae0d308c0e09ffc30a603c3a327

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-276 | 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