Claims & Evidence Registrar › H06

LIB2-122 · The muon-to-tau formula is a loaded reproduced ratio

class CLAIMmath status (as printed) Structuralattachment (as printed) Loaded-correspondencescorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 8

Label sentence at the locator (PDF p.33 (bytes of record)):

The rows of this subsection therefore stand at Structural (mathematical tier), Loaded-correspondence (physical attachment) and Reproduced (numerical status): the ratio is reproduced, not derived.

Statement

The retained ratio mµ/mτ = (ϕ/√5)^(8/3)·√2/10 = 0.059684 is Structural mathematically, Loaded-correspondence physically and Reproduced numerically.

Parts of the statement (3)

Each part is a clause of the statement above, cut so that one part makes one claim. A reader naming the clause a quote supports can name the part.

Scope

carrierThe compact muon-to-tau ratio formula
domainThe loaded dimensionless ratio, distinct from the tau-anchored mass and QED-matched mass.
hypothesesUse the dimension ratio as the mass exponent and the offered J2-based normalization.; The coefficient provenance is target-first and the divide-by-dimension step is argued by analogy.
physical targetmµ/mτ
quantifierThe registered construction and its stated hypotheses.
What this does not show. Exact dimension quantities do not by themselves derive their use as a mass exponent and physical normalization.

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, Ratio typing — PDF p.34 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The rows of this subsection therefore stand at Structural (mathematical tier), Loaded-correspondence (physical attachment) and Reproduced (numerical status): the ratio is reproduced, not derived.

Paper 2, §3.2, Equation (17): displayed ratio value — PDF p.34 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

= 0.059684 PDG: 0.059461, miss + 0.37%

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

[A618:134–140] concedes that the divide-by-dimension step “is argued by analogy.” [A618:147] lists the formal derivation as BLOCKING — and that item is closed nowhere in the corpus.

Paper 2, §3.2, Re-tiering box — PDF p.35 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → CONTEXT · the lanes disagreed; resolved by PI ruling R114 as CONTEXT — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

No number is deleted — p = 8/3 and C = 2/10 stand exactly as printed;
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/p2_mass_hierarchy_resolvent_quintics.tex:219-220): No number is deleted — p=8/3 and C=√2/10 stand exactly as printed; (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
registryD616; A616/A618; Paper 2 §3.2, Eq. (17) and re-tiering, pp.33–34—shippedThe formula and its mixed provenance are source-reported; no evaluation or coefficient derivation is performed here.

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
5PDF p.33 (bytes of record)closed form and displayed value: muon-to-tau ratio in Paper 2 §3.2, Eq. (17)
8/3PDF p.33 (bytes of record)closed form and displayed value: muon-to-tau ratio in Paper 2 §3.2, Eq. (17)
2PDF p.33 (bytes of record)closed form and displayed value: muon-to-tau ratio in Paper 2 §3.2, Eq. (17)
10PDF p.33 (bytes of record)closed form and displayed value: muon-to-tau ratio in Paper 2 §3.2, Eq. (17)
0.059684PDF p.33 (bytes of record)closed form and displayed value: muon-to-tau ratio in Paper 2 §3.2, Eq. (17)

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-0008REVIEWED by lanes (R49c)PRM-012 (PRM-012/r1) — Correspondence map algebra to SMreadout_choiceIts own statement types the ratio 'Loaded-correspondence physically', and its hypothesis concedes the coefficient provenance is target-first.
  • gemini · NOT_LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · NOT_LOAD_BEARING · THE_RECORD (D1349)

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-049 The octonion-dimension to Jordan-rank ratio is an internal identity—
rests_on_premisePRM-012 Correspondence map algebra to SM—

Why this record is PUBLISHED (R67, condition T-B)

states a predicateyes
uses on the record · unblocked4 · 4
uses any lane has read4 of 4
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-01 — 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.
serialsD616 A616 A618
candidate ids (frozen list S304)C2-056

Drafting-lane note

C2-056's physical ratio is separate from its dimension-ratio identity G-053 and the anchored masses. The source's three statuses are preserved, but no scorecard tier is inferred from this prose locator.

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 9d208fe5a90a6b2582b6d3cd854a8d1ae35ee91cecb6a6d188bb999bc197e0af

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-122 | 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