Claims & Evidence Registrar › H05

LIB2-101 · The registered ladder and phase census contains no selected complex rung ratio

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.257 (bytes of record)):

a census of 29 ladder/family rows against 39 phase/rotation rows across the shipped components registers no q = ϕ−1 eiα ;

Statement

The census of 29 ladder/family rows against 39 phase/rotation rows registers no phase-bearing ratio q = ϕ⁻¹ exp(iα) selected by one source law fixing both the real rung and a nonzero angle.

Scope

carrierThe shipped ladder/family and phase/rotation rows
domainThe shipped component census, not a universal impossibility theorem for future source laws.
hypothesesThe required object is QL = SL exp(αJL), with JL² = −I and [JL,SL] = 0.; One source law must fix both the real rung step and a nonzero α; installing a complex structure or choosing an angle does not qualify.
quantifierThe declared source class only.
What this does not show. Commuting scaling and phase candidates do not by themselves select a nonzero phase or its physical attachment.

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 N, §6, Complex-ratio ladder census — PDF p.270 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

a census of 29 ladder/family rows against 39 phase/rotation rows across the shipped components registers no q = ϕ−1 eiα ;
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_n_selector_fences.tex:302-303): a census of 29 ladder/family rows against 39 phase/rotation rows across the shipped components registers no q=ϕ⁻¹e^(iα) (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Appendix N, §6, One source law is required — PDF p.270 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → CONTEXT · the lanes disagreed; resolved by PI ruling R131 as CONTEXT — a ruling whose gloss the house owes; a use resolved by ruling never anchors PUBLISHED

The missing object is typed: QL = SL eαJL with (JL |E )2 = −IE and [JL |E , SL |E ] = 0 on the ladder two-plane E, with E and its orientation named by the registering datum (as the antecedent D1247 states the target “on the ladder 2-plane”), and one source law fixing both the real rung step and a nonzero α; installing JL , choosing the angle, or selecting after comparison does not qualify.

Appendix N, §6, Reopening condition — PDF p.270 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

Reopen: a registered compact datum commuting with the scaling, with its angle fixed without comparison.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryA1567/D1246; Appendix N §6, p.257—shippedThe source states the cross-component census and missing source-law criterion; the original census table is not supplied.

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
29PDF p.257 (bytes of record)suite text p.257 only (no kernel line found)
39PDF p.257 (bytes of record)suite text p.257 only (no kernel line found)
−1PDF p.257 (bytes of record)suite text p.257 only (no kernel line found)

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-015 The golden braid-word square root on the frozen carrier—

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

Referee findings (R73)

Raised by a lane acting as referee and re-measured by the house before being listed (a lane's word alone is not a finding). Only a CONFIRMED finding against the record's predicate blocks PUBLISHED; the others are printed so a reader sees them.

findingscopestatewhatevidenceaffects this record's predicate?
A1652-F02
A1652
PROPAGATIONCONFIRMEDp.257 prints Q_L = S_L e^{alpha J_L} with J_L^2 = -I and [J_L,S_L] = 0 and no domain, beside the 27- and 56-carrier centralizers. The printed scaling multiplicities (1,1,1,8,8,8) and (1,27,27,1) contain odd blocks, and no real J with J^2 = -I exists on an odd-dimensional S-eigenspace, so the global reading is impossible. The antecedent D1247 carries the qualifier 'on the ladder 2-plane'. A lost domain qualification, not a new no-go.Appendix N §6 p.257; multiplicities p.254; house kernel s1171 T3a-T3c + even-dimension control.
paper: REV33.2_PENDING S330·A1652
no — the predicate is unaffected

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
serialsA1567 D1246 A1568 D1248
candidate ids (frozen list S304)C2-104

Drafting-lane note

Source-backed missing proposal T4-12, associated with the nearest golden-ladder candidate C2-104. The internal square root G-019 is not this missing phase-bearing ratio. No unlocated full-carrier parity lemma is imported.

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 133d4a7f44ee54dd2fb078f2851f66935f84df5dc06864be8bbd67e0e41b7194

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-101 | 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