IN_REVIEW — NOT CITABLE. Under coalition review; not house-adjudicated. This page was generated (build S371a) from a drafting-lane record. Clearance here is a MACHINE CERTIFICATE under the ruled policy (v1.0 RATIFIED, R68), not a review: it is MACHINE_CHECKS_PASSED — contract · quote-on-page · declared numerals: N/A — this record declares no suite labels to check · id resolution · acyclic graph · basis current — and that is a statement about the intake gates, not scientific clearance. It is NOT HOUSE_ADJUDICATED: no person has signed off on this record, and 0 of 357 records have been. No tier has been assigned by the house; every label shown is the label as printed in the suite of record (Rev33.1_S369 (PDF sha256 b64ddcd9e16a6dcd…)). Adversarial review by a lane that did not draft it is also still owed. Nothing on this page may be cited as a result of the programme until its state reads PUBLISHED — a state written only by the R67 transition producer when a REVIEWED SUPPORTS use, read by two non-drafting lanes, stands on the record's predicate.

LIB2-309 · Derive one source law for the real ladder step and compact phase

class OPENmath status (as printed) —attachment (as printed) —scorecard tier word (as printed) none printedhouse tier not yet assignedreview state IN_REVIEWentry version 7

Statement

Can one source law fix both a real ladder step and a nonzero commuting compact phase without choosing the angle after comparison?

Scope

carrier	The real ladder scaling and a commuting compact datum
domain	The unselected joint scaling/phase law on the registered carriers, not an abstract existence claim for compact subalgebras.

What this does not show. Compact subalgebra existence and a shared spectral number do not supply a selected phase-bearing ladder operator.

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, Part N.E, Typed missing complex-ratio operator — PDF p.270 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

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, Part N.E, Compact datum reopening requirement — PDF p.270 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · 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)

kind	reference	line / key	availability	note
registry	Appendix N Part N.E, complex-ratio ladder fence, p.257	—	shipped	The source defines the missing joint law and reopening condition. The centralizer calculations are not rerun and no angle is selected.

Open problem

charter ref	Rev32.7 Appendix N Part N.E, p.257; A1567/D1246; A1568/D1248
failure or reopen condition	Installing a complex structure, choosing a free angle or selecting after comparison does not reopen the closed registered-census result.
obstruction	The registered centralizers contain compact subalgebras, but no one-law selection fixes the compact datum and angle; the separate compact datum leaves its angle independent of the grading.
question	Can a registered source law determine the scaling step, commuting complex structure and nonzero compact angle together?
success condition	Register a compact datum commuting with the scaling and one source law fixing both the real rung step and the nonzero angle without comparison.

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-015 The golden braid-word square root on the frozen carrier	—
`related_to` (never evidential)	LIB2-101 The registered ladder and phase census contains no selected complex rung ratio	—
`related_to` (never evidential)	LIB2-102 The registered Jordan-scaling centralizer has the printed dimension and signature	—
`related_to` (never evidential)	LIB2-103 The registered grading centralizer has the printed dimension and signature	—

Why this record is not PUBLISHED (R67, condition T-B)

states a predicate	yes
uses on the record · unblocked	2 · 2
uses any lane has read	2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes	no (0)
a SUPPORTS use on the predicate is DISPUTED	no
machine certificate current	yes

Not PUBLISHED because no use on it has been read as SUPPORTS by two non-drafting lanes on different objects. The transition is written only by the R67 producer and recomputed by a gate on every build; no person promotes a record by hand.

Machine certificate (R68)

state MACHINE_CHECKS_PASSED

policy sgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311

bound to master aad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)

checks

check	result	reason
`schema_valid`	PASS	exercised
`basis_current`	PASS	exercised
`quote_located`	PASS	exercised
`labels_literal`	N/A	class OPEN not governed by the source_labels rule
`edges_resolved`	PASS	exercised
`bindings_valid`	PASS	exercised

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) antecedents	no legacy antecedent identified
Track-2 claim ids	A-GBR-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.
serials	A1567 D1246 A1568 D1248 s1159 s1160
candidate ids (frozen list S304)	C2-104

Drafting-lane note

C2-104 is the nearest registered golden-bridge candidate. This OPEN law is separate from its exact real square root and from G-105’s negative census. No new carrier, phase angle or coupling is introduced.

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 6770e7674e88db3e39f87cf0f21d9d5f4f7e5ae2eca50125edcd3936d8c41efe

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-309 | 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