{
 "id": "LIB2-086",
 "entry_version": 9,
 "class": "CLAIM",
 "title": "The reflected cone metric is colour-blind at tree level within each Peirce sector",
 "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.",
 "scope": {
  "carrier": "The cone Hessian G on off-diagonal octonionic Peirce sectors",
  "domain": "The printed colour-isotropy statement, not an all-orders loop theorem.",
  "group": null,
  "hypotheses": [
   "Use the cone Hessian and the working vacuum normalization of Appendix I §6."
  ],
  "physical_target": null,
  "quantifier": "Within each Peirce sector at tree level.",
  "real_form": "J3(Os)"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 209
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "registry",
   "availability": "shipped"
  }
 ],
 "primary_source": {
  "component": "Appendix I",
  "section": "§6, Remark 6.4(ii): colour isotropy",
  "pdf_page": 219,
  "quote": "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"
 },
 "caution": "Tree-level colour isotropy does not establish all-orders colour blindness or derive the compact colour group.",
 "candidate_ids": [
  "C2-150"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [],
 "url": "/library-v2/LIB2-086/",
 "content_sha256": "5534b0987069510648791327c270f2346d700eccd16e831070bdd0d5e0f8cd0e",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}