{
  "title": "Black-Hole Information, Islands, and Interiors: validity and failure map",
  "chapter": "Black-Hole Information, Islands, and Interiors",
  "kind": "validity-failure",
  "schematic": true,
  "not_to_scale": true,
  "stages": [
    "evaporation model and radiation algebra",
    "replicas and generalized entropy",
    "island and wedge selection",
    "Page, decoding, and interior tests",
    "microscopic ceiling"
  ],
  "claims": [
    {
      "object": "Page curve",
      "required_declaration": "unitary benchmark and radiation factorization",
      "diagnostic": "early- and late-time entropy check",
      "licensed_conclusion": "fine-grained entropy profile in the model",
      "unsupported_promotion": "a microscopic S-matrix"
    },
    {
      "object": "island saddle",
      "required_declaration": "bath coupling, QES functional, and replicas",
      "diagnostic": "competing-saddle and renormalization test",
      "licensed_conclusion": "semiclassical entropy and wedge transition",
      "unsupported_promotion": "unique nonperturbative completion"
    },
    {
      "object": "interior reconstruction",
      "required_declaration": "code sector, state dependence, and algebra",
      "diagnostic": "overlap, commutator, and decoding tests",
      "licensed_conclusion": "a qualified interior proposal",
      "unsupported_promotion": "observer-independent exact local operators"
    }
  ],
  "takeaway": "Islands can produce semiclassical Page curves and radiation wedges without supplying microscopic evaporation dynamics, decoding, interiors, or endpoints."
}