Claims & Evidence Registrar › H06

LIB2-128 · The light-quark constituent proxy uses the fitted hadronic anchor

class CLAIMmath status (as printed) Structuralattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) Structuralhouse tier not yet assignedreview state PUBLISHEDentry version 7

Label sentence at the locator (PDF p.334 (bytes of record)):

u const ΛG2 ϕ1/2 331 ∼ 336 const Structural (−1.4%) [A618]

Statement

The retained light-quark constituent relation is m_u^const ≈ m_d^const ≈ ΛG2 ϕ^(1/2) ≈ 331 MeV.

Scope

carrierThe up/down constituent-mass proxy
domainConstituent masses, not current-quark masses in a renormalization scheme.
hypothesesUse the fitted hadronic anchor ΛG2 and the stated leading-order constituent relation.
physical targetLight-quark constituent masses
quantifierThe registered construction and its stated hypotheses.
What this does not show. This constituent proxy is not directly comparable to current-quark masses and does not derive the hadronic anchor.

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, §3.4, Equation (19): constituent relation — PDF p.36 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

mconst u ≈ mconst d ≈ ΛG2 φ1/2 ≈ 331 MeV,

Paper 2, §3.4, Hadronic anchor — PDF p.36 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

with ΛG2 ≈ 260 MeV the framework’s hadronic calibration — an external dimensional calibration in the sense of the Appendix X input-count box, its value taken from hadronic phenomenology; not a derived scale, and not a measured ΛQCD [A618] (Rev32.9, R84-h).

Appendix X, Table 4, Constituent/current-mass boundary — PDF p.355 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

Light-quark entries are constituent masses, not directly comparable to the current-quark PDG values

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryA618; Paper 2 §3.4, p.35; Appendix X Table 4, p.334—shippedThe formula and scale dependence are printed in the suite; no gap-equation or constituent-mass calculation is 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
2PDF p.35 (bytes of record)closed form and displayed value: constituent relation in Paper 2 §3.4, Eq. (19)
1/2PDF p.35 (bytes of record)closed form and displayed value: constituent relation in Paper 2 §3.4, Eq. (19)
331PDF p.35 (bytes of record)closed form and displayed value: constituent relation in Paper 2 §3.4, Eq. (19)

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-0037REVIEWED by lanes (R49c)PRM-029 (PRM-029/r2) — Λ_G₂ ≈ 260 MeV — external dimensional calibration (hadronic phenomenology; not a measured Λ_QCD)calibrationHouse declaration under R84-h (R-27): S312 holds list: Λ_G2 seen in LIB2-128. — House reading: The record's statement is m_u^const ≈ m_d^const ≈ ΛG2 ϕ^(1/2) ≈ 331 MeV and its hypothesis is "Use the fitted hadronic anchor ΛG2". The 331 MeV is 260 MeV × ϕ^(1/2). LOAD_BEARING.
  • gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · LOAD_BEARING · THE_RECORD (D1349)

Typed links

typetargetlicensed by
uses_inputLIB2-124 The mass-formula chains retain three named dimensional anchorsPaper 2 p.35 explicitly inserts the fitted ΛG2 anchor into the light-quark constituent formula.
rests_on_premisePRM-029 Λ_G₂ ≈ 260 MeV — external dimensional calibrationp2_mass_hierarchy_resolvent_quintics.tex:290-295 — "m_u^{\rm const} \approx m_d^{\rm const} \approx \Lambda_{G_2}\,\varphi^{1/2} \approx 331\,\mathrm{MeV}, with $\Lambda_{G_2}\approx 260\,\mathrm{MeV}$ a fitted hadronic anchor"

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 (1)
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
serialsA618
candidate ids (frozen list S304)C2-023

Drafting-lane note

C2-023 is retained at constituent level. The table prints Structural; no running-mass conversion is inferred and no older gauge-protection claim is needed for this record.

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 0a85437081438593bbac3e72e180f41a9e513a5971764e978e5a9bf4fed2b84b

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-128 | 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