{
 "id": "LIB2-096",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The available compact part is too small for compact colour",
 "statement": "In the split-real loaded subimage of Appendix N, maximal compact dimension 6 is smaller than dim su(3) = 8, obstructing a compact-colour embedding in that available compact part.",
 "scope": {
  "carrier": "The compact part available to the loaded split-octonion subimage",
  "domain": "The compact-colour real-form obstruction, distinct from the embedding-tensor charge wall.",
  "group": "Compact su(3)",
  "hypotheses": [
   "Retain the split real-form setting and the maximal compact part specified in Appendix N, Part N.B."
  ],
  "physical_target": null,
  "quantifier": "The declared source class only.",
  "real_form": "Split g2(2) setting of Appendix N, Part N.B"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 253
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "computational",
   "availability": "unknown"
  }
 ],
 "primary_source": {
  "component": "Appendix N",
  "section": "§2, Proposition 2.1: compact-colour obstruction",
  "pdf_page": 266,
  "quote": "The compact colour algebra su(3) (dimension 8) cannot embed in the compact part available to the loaded subimage, whose maximal compact dimension is 6 < 8."
 },
 "caution": "This real-form obstruction does not ban compact colour in other carriers or derive the choice of the physical real form.",
 "candidate_ids": [
  "C2-038"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-077"
  },
  {
   "type": "cited_by_section",
   "target": "E-C01.2.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C01.2.derivation"
  },
  {
   "type": "cited_by_section",
   "target": "E-C01.2.prior-art"
  }
 ],
 "url": "/library-v2/LIB2-096/",
 "content_sha256": "7c46f5d037275bc74cbc529ac853d31303631163d743c033d94810234ebc074a",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}