Claims & Evidence Registrar › H06

LIB2-127 · The electron value is the light Koide root under an external empirical rule

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.34 (bytes of record)):

The electron mass is determined by the external empirical relation K = 2/3 acting on that mµ chain and the measured mτ anchor [A636, A637].

Statement

With the measured tau anchor and QED-matched muon mass, the external empirical Koide rule K = 2/3 gives the selected light root me = 0.5076 MeV.

Scope

carrierThe charged-lepton Koide closure with its selected light branch
domainThe Koide-consistent electron chain, not an algebra-only mass derivation.
hypothesesUse the external empirical relation K = 2/3.; Supply the measured tau mass and the preceding QED-matched muon chain.; Select the light positive root as in the source.
physical targetKoide-consistent electron mass
quantifierThe registered construction and its stated hypotheses.
What this does not show. This empirical-rule closure does not derive the electron mass from the bare Jordan algebra or remove the muon-chain loading.

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.

Paper 2, §3.2, External Koide premise — PDF p.36 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The electron mass is determined by the external empirical relation K = 2/3 acting on that mµ chain and the measured mτ anchor [A636, A637].

Paper 2, §3.2, Koide branch note — PDF p.35 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

Two positive roots satisfy K = 2/3 for the {mτ , mµ , me } system.

Paper 2, §3.2, Selected light root — PDF p.35 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The Rev29 mass chain selects the light root me = 0.5076 MeV, matching PDG at the −0.66% level.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryA636/A637; Paper 2 §3.2, Koide branch and authoritative attribution, p.34—shippedThe supplied source names the empirical rule and selected root. The algebraic solve is not rerun.

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
2/3PDF p.34 (bytes of record)closed form and displayed root: external K = 2/3 and the light-root value in Paper 2 §3.2
0.5076PDF p.34 (bytes of record)closed form and displayed root: external K = 2/3 and the light-root value in Paper 2 §3.2

Premises this record rests on (qualified uses)

Each row is a house-declared use of a registered premise (R37). DECLARED is the house's editorial judgment only; a use becomes REVIEWED when two non-drafting lanes, reading different objects, agree the premise is LOAD_BEARING for this record's result. REJECTED rows were retired by ruling and are shown for provenance.

usestatepremiserolewhy the house declared it · reads
USE-0011REVIEWED by lanes (R49c)PRM-019 (PRM-019/r2) — m_tau as registered inputcalibrationHypothesis: 'Supply the measured tau mass and the preceding QED-matched muon chain.'
  • gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · LOAD_BEARING · THE_RECORD (D1349)
USE-0036REVIEWED by lanes (R49c)PRM-030 (PRM-030/r1) — Koide relation K = 2/3 — external empirical selection rulehypothetical_assumptionHouse declaration under R84-h (R-27): S312 holds list: Koide seen in LIB2-127. — House reading: The record's statement is "the external empirical Koide rule K = 2/3 gives the selected light root me = 0.5076 MeV" and its first hypothesis is "Use the external empirical relation K = 2/3". The electron value is the root of the Koide condition. LOAD_BEARING.
  • gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · LOAD_BEARING · THE_RECORD (D1349)

Typed links

typetargetlicensed by
depends_onLIB2-126 The separate QED matching step gives the displayed physical muon massPaper 2 p.34 states that the empirical Koide relation acts on the QED-matched muon chain.
uses_inputLIB2-124 The mass-formula chains retain three named dimensional anchorsPaper 2 p.34 explicitly retains the measured mτ anchor in the electron construction.
rests_on_premisePRM-019 m_tau as registered input—
rests_on_premisePRM-030 Koide relation K = 2/3 — external empirical selection rulep0_framework_foundations.tex:144 — "\emph{Koide-closed} $\star\star\star\star$ under the external empirical rule $K=2/3$"

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
Track-2 claim idsD-LEP-02 — 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.
serialsA636 A637
candidate ids (frozen list S304)C2-020 C2-057

Drafting-lane note

C2-020 and C2-057 merge here. The concluding external-empirical attribution governs this record, not the earlier step’s UV-forcing wording. Koide-consistent is preserved as prose, not converted to an allowed tier.

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 43276a80bd768e5ab0aab62b0890aca960cb7b0d8313f81ea25fd509b9a41d96

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-127 | 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