{
 "id": "LIB2-093",
 "entry_version": 9,
 "class": "CLAIM",
 "title": "Golden-torus robustness does not select the coupling in the tested dissipative model",
 "statement": "In the registered Frenkel–Kontorova/Peierls–Nabarro comparison, an energy or dissipative principle mode-locks to rationals, while the golden value slides freely below the Aubry threshold Kc = 0.971635 and pins at and through it.",
 "scope": {
  "carrier": "The golden-torus robustness and dissipative mode-locking comparison",
  "domain": "Robustness versus coupling selection in these registered models.",
  "group": null,
  "hypotheses": [
   "Use the standard-map and Frenkel–Kontorova/Peierls–Nabarro settings named in Appendix N, Leg 3."
  ],
  "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": "§1.3, Leg 3: mode-locking comparison",
  "pdf_page": 264,
  "quote": "in a Frenkel–Kontorova / Peierls–Nabarro setting an energy/dissipative principle mode-locks to rationals; the golden value slides freely below the Aubry threshold Kc = 0.971635 and pins at and through it"
 },
 "caution": "The comparison does not exclude all stabilization mechanisms; it does not turn robustness into a derivation of a coupling.",
 "candidate_ids": [
  "C2-137"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-092"
  }
 ],
 "url": "/library-v2/LIB2-093/",
 "content_sha256": "0a05b391eddd0b7d29b6d7718711be84fcf82a4ce0b12bf33d4e1b6879f6e4a9",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}