{
  "title": "Representative claim domains and validity boundaries for Asymptotic Safety, Causal, and Discrete Quantum-Gravity Programs",
  "table_id": "asymptotic-safety-causal-and-discrete-quantum-gravity-programs-claim-domain-table",
  "columns": [
    {
      "key": "claim_object",
      "label": "Claim object"
    },
    {
      "key": "state_ensemble_and_conventions",
      "label": "State, ensemble, and conventions"
    },
    {
      "key": "approximation_status_and_evidence_timing",
      "label": "Approximation, status, and evidence timing"
    },
    {
      "key": "uncertainty_and_counterevidence",
      "label": "Uncertainty and counterevidence"
    },
    {
      "key": "falsifier",
      "label": "Falsifier"
    },
    {
      "key": "failure_condition",
      "label": "Failure condition"
    },
    {
      "key": "licensed_conclusion",
      "label": "Licensed conclusion"
    }
  ],
  "records": [
    {
      "claim_object": {
        "text": "asymptotic-safety fixed point",
        "html": "asymptotic-safety fixed point"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare effective action, gauge, regulator, and truncation; use the volume conventions unless the page states a local replacement.",
        "html": "Declare effective action, gauge, regulator, and truncation; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Model-specific calculation or conditional result. Control chain: RG or discrete defining data → regulator, truncation, or refinement → continuum scaling observables → unitarity and causality tests → UV-completion claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: RG or discrete defining data → regulator, truncation, or refinement → continuum scaling observables → unitarity and causality tests → UV-completion claim. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_and_counterevidence": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “critical-exponent and truncation stability” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “critical-exponent and truncation stability” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "critical-exponent and truncation stability",
        "html": "critical-exponent and truncation stability"
      },
      "failure_condition": {
        "text": "a proven UV completion",
        "html": "a proven UV completion"
      },
      "licensed_conclusion": {
        "text": "fixed-point evidence in the tested space",
        "html": "fixed-point evidence in the tested space"
      }
    },
    {
      "claim_object": {
        "text": "triangulation or causal-set limit",
        "html": "triangulation or causal-set limit"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare ensemble, measure, and refinement rule; use the volume conventions unless the page states a local replacement.",
        "html": "Declare ensemble, measure, and refinement rule; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Model-specific calculation or conditional result. Control chain: RG or discrete defining data → regulator, truncation, or refinement → continuum scaling observables → unitarity and causality tests → UV-completion claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: RG or discrete defining data → regulator, truncation, or refinement → continuum scaling observables → unitarity and causality tests → UV-completion claim. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_and_counterevidence": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “finite-size scaling and observable recovery” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “finite-size scaling and observable recovery” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "finite-size scaling and observable recovery",
        "html": "finite-size scaling and observable recovery"
      },
      "failure_condition": {
        "text": "Einstein gravity in all observables",
        "html": "Einstein gravity in all observables"
      },
      "licensed_conclusion": {
        "text": "continuum evidence for the model",
        "html": "continuum evidence for the model"
      }
    },
    {
      "claim_object": {
        "text": "spectral dimension flow",
        "html": "spectral dimension flow"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare diffusion operator and averaging; use the volume conventions unless the page states a local replacement.",
        "html": "Declare diffusion operator and averaging; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Model-specific calculation or conditional result. Control chain: RG or discrete defining data → regulator, truncation, or refinement → continuum scaling observables → unitarity and causality tests → UV-completion claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: RG or discrete defining data → regulator, truncation, or refinement → continuum scaling observables → unitarity and causality tests → UV-completion claim. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_and_counterevidence": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “scale and discretization stability” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “scale and discretization stability” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "scale and discretization stability",
        "html": "scale and discretization stability"
      },
      "failure_condition": {
        "text": "physical spacetime dimension by itself",
        "html": "physical spacetime dimension by itself"
      },
      "licensed_conclusion": {
        "text": "dimension diagnostic in that construction",
        "html": "dimension diagnostic in that construction"
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}