Claims & Evidence Registrar › H01

LIB2-014 · The active braid carrier consists of twelve Clifford-module copies

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 active carrier is a Cl(2, 1) module in exactly 12 copies

Statement

The active carrier of the frozen braid representation is a Cl(2,1) module in exactly 12 copies.

Scope

carrierActive carrier of the frozen braid representation
domainThe active Clifford-module structure, separate from the clock/selector coefficient identity.
groupso(2,1)
hypothesesThe frozen carrier and braid/trace grammar are fixed.
quantifierThe active sector, not the whole carrier as a nontrivial module.
real formReal Cl(2,1) module
What this does not show. The Clifford-module count does not select measured time, a physical energy scale or an occupation rule.

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, The dark attachment: provenance upgrade — PDF p.175 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

the active carrier is a Cl(2, 1) module in exactly 12 copies

Appendix T, §14.1, The universal isotropy law — PDF p.331 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

an exact Cl(2, 1) action on the active 24 — the spinor sector — and is zero on the 32-dimensional complement.

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
computationals1047–s1048; A1512, Appendix E §7, p.169—unknownThe suite reports this computation; the kernel and its output are not supplied in this round.

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.169 (bytes of record)suite text p.169: Cl(2,1) module signature (no kernel line found)
1PDF p.169 (bytes of record)suite text p.169: Cl(2,1) module signature (no kernel line found)
12PDF p.169 (bytes of record)suite text p.169 only (no kernel line found)

Typed links

typetargetlicensed by
cited_by_sectionE-C05.2.claims-used (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0186
cited_by_sectionE-C05.2.definitions-conventions (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0202
cited_by_sectionE-C05.2.derivation (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0204
cited_by_sectionE-C05.2.prior-art (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0194
cited_by_sectionE-C05.2.sources-receipt (Exposition section page; use UNREVIEWED)TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0207

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

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 idsA-CLK-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.
serialsA1512 s1047 s1048
candidate ids (frozen list S304)C2-103

Drafting-lane note

Module-structure child of C2-103. Its clock/selector coefficient-equality clause is reserved for a separate record. The local proof language is not a scorecard tier word.

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 555c9fc7454cdafc302eef65cde688ccb1b211d58d0d47779c1da8951bf0e7c8

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-014 | 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