{
  "title": "Asymptotic Safety, Causal, and Discrete Quantum-Gravity Programs: validity and failure map",
  "chapter": "Asymptotic Safety, Causal, and Discrete Quantum-Gravity Programs",
  "kind": "validity-failure",
  "schematic": true,
  "not_to_scale": true,
  "stages": [
    "RG or discrete defining data",
    "regulator, truncation, or refinement",
    "continuum scaling observables",
    "unitarity and causality tests",
    "UV-completion claim"
  ],
  "claims": [
    {
      "object": "asymptotic-safety fixed point",
      "required_declaration": "effective action, gauge, regulator, and truncation",
      "diagnostic": "critical-exponent and truncation stability",
      "licensed_conclusion": "fixed-point evidence in the tested space",
      "unsupported_promotion": "a proven UV completion"
    },
    {
      "object": "triangulation or causal-set limit",
      "required_declaration": "ensemble, measure, and refinement rule",
      "diagnostic": "finite-size scaling and observable recovery",
      "licensed_conclusion": "continuum evidence for the model",
      "unsupported_promotion": "Einstein gravity in all observables"
    },
    {
      "object": "spectral dimension flow",
      "required_declaration": "diffusion operator and averaging",
      "diagnostic": "scale and discretization stability",
      "licensed_conclusion": "dimension diagnostic in that construction",
      "unsupported_promotion": "physical spacetime dimension by itself"
    }
  ],
  "takeaway": "A fixed point in a truncation or a continuum-looking phase in a discrete model is evidence that requires regulator, convergence, and unitarity control."
}