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 2 of 2 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 The state is recomputed from the uses on every build and is withdrawn if they stop justifying it.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-b6e0c04c556fc3ee8ccef47d · master aa16040bb884101e · S342.

LIB2-086 · The reflected cone metric is colour-blind at tree level within each Peirce sector

class CLAIMmath status (as printed) NOT_PRINTEDattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 9

Label sentence at the locator (PDF p.209 (bytes of record)):

Colour isotropy: within each Peirce sector the eight SU (3)-colour components of an off-diagonal octonionic entry share a single G-eigenvalue, so G is colour-blind at tree level

Statement

Within each registered Peirce sector, the octonionic colour components carry raw cone-Hessian eigenvalues of equal magnitude and opposite sign and one common eigenvalue in the reflected positive metric, so the reflected metric is colour-blind at tree level.

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 · Within each registered Peirce sector, the octonionic colour components carry raw cone-Hessian eigenvalues of equal magnitude and opposite sign and one common eigenvalue in the reflected positive metric (one claim)
p2 · the reflected metric is colour-blind at tree level. (one claim)

Scope

carrier	The cone Hessian G on off-diagonal octonionic Peirce sectors
domain	The printed colour-isotropy statement, not an all-orders loop theorem.
hypotheses	Use the cone Hessian and the working vacuum normalization of Appendix I §6.
quantifier	Within each Peirce sector at tree level.
real form	J3(Os)

What this does not show. Tree-level colour isotropy does not establish all-orders colour blindness or derive the compact colour group.

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 I, §6, Remark 6.4(ii): colour isotropy — PDF p.219 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS

Colour isotropy: within each Peirce sector the eight SU (3)-colour components of an off-diagonal octonionic entry carry G-eigenvalues of equal magnitude and opposite signs in the raw block (±2ξk , fourfold each — Remark 6.5); in the reflected positive metric they carry one common eigenvalue, so it is the reflected metric that is colour-blind at tree level

Appendix I, §6, Remark 6.4: normalization change — PDF p.219 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

the legacy vacuum normalization diag(ϕ2 , 1, 0) is superseded by the current {ϕ, 1, ϕ−1 } frame, the structural statements unaffected.

The text extraction above lost mathematical typography. Restored from the sealed TeX source (rev32.7/tex/appendix_i_dynamics_bounce.tex:502-504): the legacy vacuum normalization diag(ϕ²,1,0) is superseded by the current {ϕ,1,ϕ⁻¹} frame, the structural statements unaffected. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)

Evidence (availability is not outcome)

kind	reference	line / key	availability	note
registry	L-ColourBlindExact; Appendix I §6, Remark 6.4(ii), p.209	—	shipped	The current tree-level statement is in the supplied suite. The original house-file body and an all-orders proof are not supplied.

Why this record is 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	yes (1)
a SUPPORTS use on the predicate is DISPUTED	no
machine certificate current	yes

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.

finding	scope	state	what	evidence	affects this record's predicate?
`A1647-F01` A1647	PREDICATE	CLOSED 2026-09-17	The predicate says the eight octonionic colour components of each Peirce sector share a single cone-Hessian eigenvalue. The raw Hessian block at J_vac has two eigenvalues of opposite sign, ±2ξ_k, each fourfold (split norm signature (4,4)); only the reflected positive metric is a scalar on the block. The colour-blind conclusion may survive under the reflected metric; the literal single-eigenvalue conjunct does not. How it was closed: R133 D-2 (PI, S342): LIB2-086 re-typed by R130 row 14 (reflected metric); uses REVIEWED in round 21 (A1709/A1710).	appendix_i_dynamics_bounce.tex:496–498 (Remark 6.4(ii)) vs :508–509 (Remark 6.5, ±2ξ_k); appendix_k_yukawa_coefficient_negative.tex:159–161 (raw signature (15,12); reflected positive metrics component-uniform); house recompute A1647_house_recompute_S329 F01 (s1152 carrier: −Hess ln N blocks {±2φ, ±2, ±2/φ}, multiplicities 4+4; full signature (15,12)). paper: REV33.2_PENDING S329·A1647 item 1	closed

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
candidate ids (frozen list S304)	C2-150

Drafting-lane note

C2-150’s all-orders headline exceeds the current source: this record states only the tree-level property printed on p.209. The source’s eight-component wording is retained in its quote, not reinterpreted as an adjoint-representation claim.

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 5534b0987069510648791327c270f2346d700eccd16e831070bdd0d5e0f8cd0e

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-086 | 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