{
 "id": "LIB2-137",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The cone expansion uses a spectral background rather than stationarity of the cubic",
 "statement": "The source organizes the cone expansion at Jvac by the Hessian spectrum rather than stationary phase of N, because ∇N ≠ 0 there.",
 "scope": {
  "carrier": "The cone-Hessian expansion about the registered spectral background",
  "domain": "The spectral-background interpretation of this expansion, not the full gauged-potential stability question.",
  "group": null,
  "hypotheses": [
   "Use the cubic norm N and the Hessian G in Appendix I, Remark 6.4."
  ],
  "physical_target": null,
  "quantifier": "The registered construction and its stated hypotheses.",
  "real_form": "The registered cubic-norm cone"
 },
 "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(i): spectral background",
  "pdf_page": 219,
  "quote": "The vacuum is a spectral background, not a saddle: Jvac is selected by the eigenvalue structure of G, not by ∇N = 0 (indeed ∇N = ̸ 0 there),"
 },
 "caution": "This expansion prescription does not establish a stationary or stable vacuum of a different gauged or sourced action.",
 "candidate_ids": [
  "C2-171"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-135"
  }
 ],
 "url": "/library-v2/LIB2-137/",
 "content_sha256": "931e354fda7fde3f4cb37fc5af47db13fc0f09e6815e6dab401f6e3702d5d32f",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}