{
 "id": "LIB2-092",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "Near-137 golden formulas carry no selection evidence under the stated density test",
 "statement": "Under the registered Beatty/Wythoff admissibility count, golden scale-free ratios densely populate the neighbourhood of 137, so a near-137 hit carries no selective information.",
 "scope": {
  "carrier": "Golden scale-free ratios in the registered admissibility count",
  "domain": "The tested near-137 formula family, not a probability law over every possible theory.",
  "group": null,
  "hypotheses": [
   "Use the controlled density discipline described in Appendix N, Leg 2."
  ],
  "physical_target": null,
  "quantifier": "The declared source class only.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 252
 },
 "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": "§1.2, Leg 2: golden numerology density",
  "pdf_page": 264,
  "quote": "Scale-free ratios built from φ populate the neighbourhood of 137 densely; under a controlled density discipline (a Beatty/Wythoff admissibility count), a near-137 hit is expected by chance and therefore carries no selective information."
 },
 "caution": "This density result does not derive the electromagnetic coupling or assign a global significance to arbitrary formulas.",
 "candidate_ids": [
  "C2-137"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [],
 "url": "/library-v2/LIB2-092/",
 "content_sha256": "73d33b921bdc8205833fb0b0c5bb8cf1eef52904d400c7b7eadad81dbbefd492",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}