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

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.209)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## 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.

## Caution

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

## Primary source

Appendix I, §6, Remark 6.4(ii): colour isotropy, PDF p.219: "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"

## Machine

- url: /library-v2/LIB2-086/
- content_sha256: 5534b0987069510648791327c270f2346d700eccd16e831070bdd0d5e0f8cd0e
- candidate_ids: C2-150

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP