{
  "id": "SAD-03",
  "uri": "https://cosmological-constant.org/claims/#SAD-03",
  "record_type": "Scientific claim",
  "status": "Derived",
  "dependencies": [
    "SAD-01",
    "SAD-02",
    "SAD-04"
  ],
  "downstream_claims": [],
  "source_status": "Derived here",
  "technical_statement": "Within the declared sub-Planckian saddle family x=M_P^2/H^2 >=1 with B(x)=24 pi^2 x, the leading sector is localized at the boundary x=1.",
  "public_statement": "Within the declared saddle family, the least-suppressed sector lies at the Planck boundary.",
  "qualifier": "The smallest geometry within the specified family; not a proof that it is the smallest possible in every ultraviolet completion.",
  "source_in_paper": "CC Paper I v1.0, Sec. 9 and Appendix D.4",
  "external_foundations": "",
  "limits_open_issues": "Boundary dominance does not determine the unit assigned to the boundary.",
  "relations": "",
  "version_history": "v1.2; v1.3 (2026-08-01): source citation updated to the paired-cap revision.; v1.4 (2026-08-03): now derived from SAD-01 with the SAD-04 boundary; smallest-in-family scope stated.; v1.4b (2026-08-04): SAD-02 added: boundary localisation uses the damped orientation",
  "register_version": "v1.6"
}