Claims & Evidence Registrar › H02
Label sentence at the locator (PDF p.169 (bytes of record)):
κlaw = κclock is a theorem — one structure constant appearing simultaneously as an eigenvalue difference and as the commutator coefficient
On the frozen carrier, the selector-law coefficient equals the clock commutator coefficient: κlaw = κclock, the same structure constant read as an eigenvalue difference and as a commutator coefficient.
| carrier | Frozen braid/trace carrier and its clock generators |
|---|---|
| domain | Equality within the finite frozen representation, not a measured clock-frequency identification. |
| hypotheses | The registered active Clifford-module structure and generator normalization are fixed. |
| quantifier | The declared class only. |
| real form | Real 56-frame |
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.
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: coefficient identity — PDF p.175 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS
κlaw = κclock is a theorem — one structure constant appearing simultaneously as an eigenvalue difference and as the commutator coefficient
Appendix E, §7, Clock identity: computation reference — PDF p.175 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → CONTEXT · the lanes disagreed; resolved by PI ruling R74 as CONTEXT — R74 (S327): the principal investigator ruled the six disputed readings of read round 1 (D1284/D1285); a use resolved by ruling never anchors PUBLISHED
exact at the full 56 × 56 level (house 8 × 10−16 ; kernels s1047–s1048, lane proof A1512, house-verified).The text extraction above lost mathematical typography. Restored from the sealed TeX source (
rev32.7/tex/appendix_e_vacuum_selector.tex:343-344): exact at the full 56×56 level (house 8×10⁻¹⁶; kernels s1047–s1048, lane proof A1512, house-verified). (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)
| kind | reference | line / key | availability | note |
|---|---|---|---|---|
| computational | s1047–s1048; A1512, Appendix E §7, p.169 | — | unknown | The suite reports the equality; the kernels and their outputs are not supplied in this round. |
| type | target | licensed by |
|---|---|---|
depends_on | LIB2-014 The active braid carrier consists of twelve Clifford-module copies | Appendix E p.169 attributes the law's forced constants and the clock identity to the active Clifford-module structure. |
cited_by_section | E-C04.2.claims-used (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0070 |
cited_by_section | E-C04.2.derivation (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0117 |
cited_by_section | E-C04.2.sources-receipt (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0140 |
| 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 | yes (1) |
| a SUPPORTS use on the predicate is DISPUTED | no |
| machine certificate current | yes |
| 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 |
|
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.
| March library (v1) antecedents | no legacy antecedent identified |
|---|---|
| Track-2 claim ids | A-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. |
| serials | s1047 s1048 A1512 |
| candidate ids (frozen list S304) | C2-103 |
Coefficient-equality child of C2-103; the twelve-copy module structure is G-018. Only the clearly printed equality is restated, not a new reading of the extraction's flattened square-root fraction. The prose word theorem is not a scorecard tier.
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 63c62276261139a8ec00d535f1ddba0665afe4f6691ca30183e4d0924cc5e52e
Reviewer verdict line (one per entry, as text): LIB2-024 | 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