{
 "id": "LIB2-112",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "Exactly half of the raw trilinear norm lies in forbidden mirror sectors",
 "statement": "Exactly half of the raw trilinear squared norm lies in total-hypercharge ±1 mirror sectors, and the loaded U(1)Y Reynolds projector removes that leakage.",
 "scope": {
  "carrier": "The raw and hypercharge-projected split-octonion trilinears",
  "domain": "The forbidden-mirror component norm and its removal.",
  "group": "Loaded U(1)Y",
  "hypotheses": [
   "Use the loaded hypercharge assignments and the squared component norm of the A1048 census."
  ],
  "physical_target": null,
  "quantifier": "The registered construction and its stated hypotheses.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 229
 },
 "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 K",
  "section": "§3.2, Half-norm mirror leakage",
  "pdf_page": 240,
  "quote": "the raw octonionic trilinear τ carries exactly half of its squared norm as Y = ±1 “forbidden mirror” leakage:"
 },
 "caution": "Removing forbidden mirror components does not derive the hypercharge loading or create a non-democratic hierarchy.",
 "candidate_ids": [
  "C2-047"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-111"
  }
 ],
 "url": "/library-v2/LIB2-112/",
 "content_sha256": "e5920ca55686be5adda756d319d95a24ff98e3fd9bb915360a14ca931aa28efb",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}