Claims & Evidence Registrar › H02

LIB2-023 · The grammar detector selects the dark ray

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.169 (bytes of record)):

The dark axis is therefore grammar-derived, not dark-axis-labelled, and the selector

Statement

The frozen braid/trace grammar's detector quadratic form has the unique top eigenspace R W0, identifying the dark axis within the declared selector construction.

Scope

carrierDetector quadratic form on the registered p-sector
domainThe dark-axis selection statement of Appendix E §7, distinct from boundary-source selection.
groupKdyn
hypothesesThe frozen braid/trace grammar and its detector quadratic form are fixed.
quantifierThe declared class only.
What this does not show. Selecting this dark ray does not select the distinct loaded boundary source ray or the nonlinear action shape.

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 E, §7, Dark attachment: detector eigenspace — PDF p.176 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

The crown is prefrozen: the grammar’s own detector quadratic form on the 70-dimensional p-sector has spectrum 01 ⊕ (5/3)10 ⊕ 226 ⊕ (5/2)32 ⊕ (9/2)1 (house-recomputed exact) with a unique top eigenspace, frozen pre-target and shown post-freeze to be exactly RW0 (overlap 1.000000000000).
The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_e_vacuum_selector.tex:350-354): The crown is prefrozen: the grammar's own detector quadratic form on the 70-dimensional p-sector has spectrum 0¹⊕(5/3)¹⁰⊕2²⁶⊕(5/2)³²⊕(9/2)¹ (house-recomputed exact) with a unique top eigenspace, frozen pre-target and shown post-freeze to be exactly ℝ W₀ (overlap 1.000000000000). (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Appendix E, §7, Asymmetric selection boundary — PDF p.176 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · the lanes disagreed; resolved by PI ruling R74 as SUPPORTS — R74 (S327): the principal investigator ruled the six disputed readings of read round 1 (D1284/D1285); a use resolved by ruling never anchors PUBLISHED

the grammar cannot see the source ray (obstruction above) but intrinsically owns the dark ray.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryA1509 Theorem B; A1511, Appendix E §7, p.169—shippedThe suite reports the prefrozen detector and later identification; neither original precommit nor computation is 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
0PDF p.169 (bytes of record)suite text p.169: W0 generator index; no kernel line found

Typed links

typetargetlicensed by
related_to (never evidential)LIB2-021 The finite loaded-profile parent action has its stated stable minimum—
related_to (never evidential)LIB2-022 The finite selector closure retains the stated boundary and coupling price—
cited_by_sectionE-C04.2.claims-used (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0069
cited_by_sectionE-C04.2.derivation (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0116
cited_by_sectionE-C04.2.sources-receipt (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0139

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

states a predicateyes
uses on the record · unblocked2 · 2
uses any lane has read2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesyes (2)
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?
A1632-F3g
A1632
QUOTE_RENDERINGCONFIRMEDUse 1's quote reads "01 ⊕ (5/3)10 ⊕ 226 ⊕ (5/2)32 ⊕ (9/2)1" because superscript multiplicities flatten into the eigenvalues; read 0¹ ⊕ (5/3)¹⁰ ⊕ 2²⁶ ⊕ (5/2)³² ⊕ (9/2)¹ (multiplicities sum to 70, the p-sector dimension).sealed extract p.169; multiplicity sum 1+10+26+32+1 = 70 checked.
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
Track-2 claim idsC-PAR-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.
serialsA1509 A1511
candidate ids (frozen list S304)C2-105

Drafting-lane note

Additional source-printed child of the closure candidate C2-105. It records the detector's selected ray, not the ground valley of +εS1, which the same page identifies with W1.

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 d0f0114182176c1b920e7a0f6a08ee4205646106719202fdbbf2c49c2ff0bcb6

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-023 | 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