{
 "id": "LIB2-138",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The compact two-scale Gram class excludes its previously priced half-ratio",
 "statement": "Intersecting the compact two-scale ansatz with the plane-preserving, coset-compatible, SM-invariant Gram family gives l = c and r = l/c = 1, excluding r = 1/2 in that declared class.",
 "scope": {
  "carrier": "The compact quark/lepton two-scale Gram ansatz",
  "domain": "The declared D1176–D1180 Gram class, not the earlier dimensional-calibration inventory.",
  "group": null,
  "hypotheses": [
   "Use gQ = gu = gd = c and gL = gν = ge = l.",
   "Restrict to the plane-preserving, coset-compatible, SM-invariant Gram family."
  ],
  "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": 351
 },
 "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 X",
  "section": "§4.3, Collapse to the scalar line",
  "pdf_page": 373,
  "quote": "with the plane-preserving, coset-compatible, SM-invariant Gram family leaves only the scalar line l = c. Hence r = l/c = 1 exactly, and the previously priced point r = 1/2 is excluded in this declared natural class."
 },
 "caution": "The exclusion is not universal and does not refute the distinct finite 7/3 index or unification-ratio statement.",
 "candidate_ids": [
  "C2-110"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-117"
  },
  {
   "type": "related_to",
   "target": "LIB2-053"
  }
 ],
 "url": "/library-v2/LIB2-138/",
 "content_sha256": "b4d6d61e9b9832646b46134422ceebc85efef50b0d0e77bf33fa2d7a70c00821",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}