PUBLISHED under R67 (condition T-B) — NOT house-adjudicated. Build S371a. What PUBLISHED means here (R72): two non-drafting AI lanes (gemini + grok) read this record's anchor citation on different objects and agreed it SUPPORTS the record's statement; no citation on the record is disputed as support; its machine certificate is current. What it does not mean: no person has signed off on this record (adjudication: NOT_ADJUDICATED), the drafting lane's own reads count for nothing, and 4 of 4 unblocked uses were REVIEWED — the rest were read by one lane or none. Every label shown is the label as printed in the suite of record (Rev33.1_S369 (PDF sha256 b64ddcd9e16a6dcd…)); no house tier is assigned. The state is recomputed from the uses on every build and is withdrawn if they stop justifying it. Receipt: condition R67-TB · anchor SU-75a8256d8ee2cad8bb43aa44 · master bd2d1a4de7da2b44 · S338.

LIB2-194 · The frozen Clifford law makes every registered carrier-map Gram isotropic

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 10

Label sentence at the locator (PDF p.313 (bytes of record)):

The immediate consequence is a single law covering every carrier map T :

Statement

On the frozen carrier, GT = (1/24)∥Pact T∥F² I2 for every carrier map T; the constants 5/12 and 1/24 are dimension-weighted restrictions of this one Clifford identity.

Parts of the statement (2)

Each part is a clause of the statement above, cut so that one part makes one claim. A reader naming the clause a quote supports can name the part.

p1 · On the frozen carrier, GT = (1/24)∥Pact T∥F² I2 for every carrier map T (one claim)
p2 · the constants 5/12 and 1/24 are dimension-weighted restrictions of this one Clifford identity. (one claim)

Scope

carrier	The frozen Clifford active sector and the Gram assigned to a carrier map T
domain	The same-carrier isotropy law, not a statement about measured constants or unrelated carriers.
hypotheses	Use the registered Cl(2,1) action on the active 24 and its zero action on the complementary 32.
quantifier	The registered construction and its stated premises.

What this does not show. The identity does not identify a physical measurement or transfer a constant to a different carrier through an unconstructed map.

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 T, §14.1, Isotropy for every carrier map — PDF p.331 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

The immediate consequence is a single law covering every carrier map T :

Appendix T, §14.1, Displayed Gram identity — PDF p.331 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

1 GT = 24 ∥Pact T ∥2F · I2 .

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_t_cartan_observation.tex:883): G_T=1/24 ‖ P_(act) T‖_F² · I₂ (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Appendix T, §14.1, Two constants from one law — PDF p.331 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read OUR_QUOTE_AS_PRINTED → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

10/24 = 5/12 and 1/24: the two constants of record are dimension-weighted restrictions of one global Clifford identity, not independent facts.

Appendix T, §14.2, Internal rather than measured constants — PDF p.331 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read OUR_QUOTE_AS_PRINTED → CONTEXT · gemini read OUR_QUOTE_AS_PRINTED → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

the constants 5/12 and 1/24 are constants of record internal to the frozen frame, not measurements.

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
computational	s1026/s1032; A1499, Appendix T §14, pp.312–313	—	unknown	The suite reports the frozen-carrier Clifford identity; the original operator arrays and run outputs are 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 printed	page	digit source
`1/24`	PDF p.313 (bytes of record)	closed form: GT and its two dimension-weighted restrictions printed in Appendix T §14.1
`2`	PDF p.313 (bytes of record)	closed form: GT and its two dimension-weighted restrictions printed in Appendix T §14.1
`5/12`	PDF p.313 (bytes of record)	closed form: GT and its two dimension-weighted restrictions printed in Appendix T §14.1

Typed links

type	target	licensed by
`related_to` (never evidential)	LIB2-014 The active braid carrier consists of twelve Clifford-module copies	—
`related_to` (never evidential)	LIB2-024 The selector law and clock commutator share one structure constant	—
`cited_by_section`	E-C05.2.claims-used (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0192
`cited_by_section`	E-C05.2.derivation (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0203
`cited_by_section`	E-C05.2.prior-art (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0196
`cited_by_section`	E-C05.2.sources-receipt (Exposition section page; use UNREVIEWED)	TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0213

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

states a predicate	yes
uses on the record · unblocked	4 · 4
uses any lane has read	4 of 4
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes	yes (3)
a SUPPORTS use on the predicate is DISPUTED	no
machine certificate current	yes

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`	PASS	exercised
`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
serials	A1499 s1026 s1032
candidate ids (frozen list S304)	C2-103

Drafting-lane note

Additional same-carrier identity associated with C2-103. It unifies the two printed constants rather than claiming two independent successes. The fraction layout is preserved in the equation quote.

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 c0367447cb575c19fd418a518b80eb7f49063cdc3507b8f32a4be5dc7a81d304

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-194 | 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