{
  "id": "GR-02",
  "uri": "https://cosmological-constant.org/claims/#GR-02",
  "record_type": "Scientific claim",
  "status": "Derived",
  "dependencies": [
    "VAC-01"
  ],
  "downstream_claims": [
    "GS-01",
    "CMP-02"
  ],
  "source_status": "Derived here",
  "technical_statement": "The unique local algebraic projection invariant under adding c g_mn to the metric equation is the trace-free Einstein equation, leaving one spacetime-constant scalar mode.",
  "public_statement": "Removing the volume-counterterm representative leaves a unique trace-free local equation and one undetermined scalar-curvature mode.",
  "qualifier": "",
  "source_in_paper": "CC Paper I v1.0, Lemma “Trace-free quotient projector”",
  "external_foundations": "Percacci2018; Jirousek2023",
  "limits_open_issues": "The quotient identifies equation shape, not a complete physical law.",
  "relations": "",
  "version_history": "v1.2; v1.3 (2026-08-01): source citation updated to the paired-cap revision.",
  "register_version": "v1.6"
}