{
 "id": "LIB2-101",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The registered ladder and phase census contains no selected complex rung ratio",
 "statement": "The census of 29 ladder/family rows against 39 phase/rotation rows registers no phase-bearing ratio q = ϕ⁻¹ exp(iα) selected by one source law fixing both the real rung and a nonzero angle.",
 "scope": {
  "carrier": "The shipped ladder/family and phase/rotation rows",
  "domain": "The shipped component census, not a universal impossibility theorem for future source laws.",
  "group": null,
  "hypotheses": [
   "The required object is QL = SL exp(αJL), with JL² = −I and [JL,SL] = 0.",
   "One source law must fix both the real rung step and a nonzero α; installing a complex structure or choosing an angle does not qualify."
  ],
  "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": 257
 },
 "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 N",
  "section": "§6, Complex-ratio ladder census",
  "pdf_page": 270,
  "quote": "a census of 29 ladder/family rows against 39 phase/rotation rows across the shipped components registers no q = ϕ−1 eiα ;"
 },
 "caution": "Commuting scaling and phase candidates do not by themselves select a nonzero phase or its physical attachment.",
 "candidate_ids": [
  "C2-104"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-015"
  }
 ],
 "url": "/library-v2/LIB2-101/",
 "content_sha256": "133d4a7f44ee54dd2fb078f2851f66935f84df5dc06864be8bbd67e0e41b7194",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}