Claims & Evidence Registrar › H05

LIB2-106 · The exact single-chi additive ratio completion fails on the registered support

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) REFUTEDhouse tier not yet assignedreview state PUBLISHEDentry version 8

Label sentence at the locator (PDF p.7 (bytes of record)):

The exact φ-ladder mass completion is REFUTED at the ratio tier (Appendix O): no single-χ additive closure reproduces the occupancy-support ratios (0/24 bijections);

Statement

The exact single-χ completion r = χ²/(ϕ²ᴺ + χ²) fails on every bijection of the occupancy support {0,3,11,17}, with 0/24 admissible bijections.

Parts of the statement (2)

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 single-χ additive mass-ratio completion on the registered occupancy depths
domainThe exact single-χ ratio class; the ordered depth skeleton and approximate shape are separate.
hypothesesUse one universal χ in the ratio formula stated in Appendix O, Remark 5.2.; Test the charged-lepton and up-type ratios on the specified occupancy support.
quantifierEvery bijection of the registered support in the stated ratio test.
What this does not show. This exact-class failure leaves the depth skeleton and approximate shape intact and is not a universal two-parameter no-go.

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.

Appendix O, §5, Remark 5.2: single-chi test — PDF p.276 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

an exact single-χ closure fails on every bijection of the support (0/24 admissible;

Appendix O, §5, Remark 5.2: surviving structure — PDF p.276 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

the order and the shape are unaffected.

Appendix O, §5, Remark 5.2: broader no-go withdrawn — PDF p.276 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

surveyed one-parameter forms fail and no universal ≤ 2-parameter no-go is proved.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
computationals894/D1119; Appendix O §5, Remark 5.2, p.261—unknownThe suite reports the exhaustive support-bijection failure; the kernel and output are not supplied 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
2PDF p.261 (bytes of record)suite text p.261: printed single-chi ratio, support and 0/24 admissible-bijection result
0PDF p.261 (bytes of record)suite text p.261: printed single-chi ratio, support and 0/24 admissible-bijection result
3PDF p.261 (bytes of record)suite text p.261: printed single-chi ratio, support and 0/24 admissible-bijection result
11PDF p.261 (bytes of record)suite text p.261: printed single-chi ratio, support and 0/24 admissible-bijection result
17PDF p.261 (bytes of record)suite text p.261: printed single-chi ratio, support and 0/24 admissible-bijection result
0/24PDF p.261 (bytes of record)suite text p.261: printed single-chi ratio, support and 0/24 admissible-bijection result

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-029 The conditional selector for occupied golden mass-ladder rungs—

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
Track-2 claim idsD-CHI-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.
serialss894 D1119
candidate ids (frozen list S304)C2-055

Drafting-lane note

C2-055’s current failure statement is retained with its exact ratio class. The State Map explicitly marks the completion REFUTED; no fitted harmonic is adopted and no direct χ search is run.

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 8d0d1ff48e7bf51c70a742c2f79e4497b62e152c99fa63588f6294f67b2cb1b2

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-106 | 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