{
  "title": "Canonical, Loop, Spin-Foam, and Group-Field Quantum Gravity: validity and failure map",
  "chapter": "Canonical, Loop, Spin-Foam, and Group-Field Quantum Gravity",
  "kind": "validity-failure",
  "schematic": true,
  "not_to_scale": true,
  "stages": [
    "constrained phase space",
    "connections and spin networks",
    "Hamiltonian, foam, or group-field dynamics",
    "continuum and semiclassical tests",
    "physical-observable claim"
  ],
  "claims": [
    {
      "object": "area or volume spectrum",
      "required_declaration": "kinematical Hilbert space and operator choice",
      "diagnostic": "gauge and diffeomorphism treatment",
      "licensed_conclusion": "kinematical operator spectrum",
      "unsupported_promotion": "physical measurable discreteness"
    },
    {
      "object": "spin-foam amplitude",
      "required_declaration": "boundary state, model, and refinement",
      "diagnostic": "simplicity, asymptotic, and anomaly checks",
      "licensed_conclusion": "a proposed covariant transition amplitude",
      "unsupported_promotion": "established continuum dynamics"
    },
    {
      "object": "semiclassical recovery",
      "required_declaration": "state family and coarse graining",
      "diagnostic": "Einstein limit and fluctuation scaling",
      "licensed_conclusion": "recovery in the tested sector",
      "unsupported_promotion": "full low-energy phenomenology"
    }
  ],
  "takeaway": "Kinematical discreteness, constraint solutions, spin-foam amplitudes, continuum limits, and classical recovery are separate achievements."
}