{
 "id": "LIB2-311",
 "entry_version": 7,
 "class": "OPEN",
 "title": "Find a non-residue physical realization of the finite index normalization",
 "statement": "Can the finite 7/3 index normalization acquire a physical realization through a non-residue, index-theoretic exceptional-field-theory construction?",
 "scope": {
  "carrier": "The finite trace/index normalization and a possible exceptional-field-theory realization",
  "domain": "The non-residue physical export of the finite trace/index result, outside the excluded metric-weighted residue route.",
  "group": null,
  "hypotheses": [],
  "physical_target": null,
  "quantifier": null,
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": null,
  "attachment": null,
  "scorecard_tier_word": null,
  "pdf_page": null
 },
 "house_tier": null,
 "review_state": "IN_REVIEW",
 "scientific_status": "OPEN",
 "evidence_status": [
  {
   "kind": "registry",
   "availability": "shipped"
  }
 ],
 "primary_source": {
  "component": "Appendix I",
  "section": "§8, Amplitude-bridge boundary: surviving question",
  "pdf_page": 222,
  "quote": "What stays open is only whether a non-residue, index-theoretic exceptional-field-theory realization exists; the 7 survives as the finite-carrier index (Appendix K), not as a signed amplitude."
 },
 "caution": "The finite index theorem is not itself a low-energy mass relation, and the signed-residue route remains excluded.",
 "candidate_ids": [
  "C2-044",
  "C2-054"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-053"
  },
  {
   "type": "related_to",
   "target": "LIB2-107"
  },
  {
   "type": "related_to",
   "target": "LIB2-130"
  },
  {
   "type": "related_to",
   "target": "LIB2-131"
  }
 ],
 "url": "/library-v2/LIB2-311/",
 "content_sha256": "5a34f41f495ac921569b110b26094224b18deab2708b156b029877b55151893b",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}