{
  "title": "AdS2, JT Gravity, SYK, and Random Matrices: structure map",
  "chapter": "AdS2, JT Gravity, SYK, and Random Matrices",
  "kind": "structure",
  "schematic": true,
  "not_to_scale": true,
  "stages": [
    "near-AdS2 boundary data",
    "JT and Schwarzian mode",
    "SYK low-energy matching",
    "topology and matrix ensemble",
    "model-specific conclusion"
  ],
  "claims": [
    {
      "object": "Schwarzian mode",
      "required_declaration": "near-AdS2 boundary condition and coupling",
      "diagnostic": "thermodynamic and correlator check",
      "licensed_conclusion": "universal low-energy boundary dynamics",
      "unsupported_promotion": "complete bulk spectrum"
    },
    {
      "object": "SYK interface",
      "required_declaration": "disorder, large N, and conformal window",
      "diagnostic": "bilocal saddle and soft-mode matching",
      "licensed_conclusion": "shared low-energy observables",
      "unsupported_promotion": "unique duality to JT gravity"
    },
    {
      "object": "matrix completion",
      "required_declaration": "ensemble and spectral density",
      "diagnostic": "genus and late-time comparison",
      "licensed_conclusion": "an ensemble completion of JT amplitudes",
      "unsupported_promotion": "the unique fixed Hamiltonian"
    }
  ],
  "takeaway": "JT, Schwarzian dynamics, SYK, and random matrices overlap in controlled limits but do not provide one unique fixed-theory completion."
}