{
  "title": "Representative claim domains and validity boundaries for Canonical, Loop, Spin-Foam, and Group-Field Quantum Gravity",
  "table_id": "canonical-loop-spin-foam-and-group-field-quantum-gravity-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": "area or volume spectrum",
        "html": "area or volume spectrum"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare kinematical Hilbert space and operator choice; use the volume conventions unless the page states a local replacement.",
        "html": "Declare kinematical Hilbert space and operator choice; 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: constrained phase space → connections and spin networks → Hamiltonian, foam, or group-field dynamics → continuum and semiclassical tests → physical-observable claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: constrained phase space → connections and spin networks → Hamiltonian, foam, or group-field dynamics → continuum and semiclassical tests → physical-observable 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 “gauge and diffeomorphism treatment” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “gauge and diffeomorphism treatment” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "gauge and diffeomorphism treatment",
        "html": "gauge and diffeomorphism treatment"
      },
      "failure_condition": {
        "text": "physical measurable discreteness",
        "html": "physical measurable discreteness"
      },
      "licensed_conclusion": {
        "text": "kinematical operator spectrum",
        "html": "kinematical operator spectrum"
      }
    },
    {
      "claim_object": {
        "text": "spin-foam amplitude",
        "html": "spin-foam amplitude"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare boundary state, model, and refinement; use the volume conventions unless the page states a local replacement.",
        "html": "Declare boundary state, model, and refinement; 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: constrained phase space → connections and spin networks → Hamiltonian, foam, or group-field dynamics → continuum and semiclassical tests → physical-observable claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: constrained phase space → connections and spin networks → Hamiltonian, foam, or group-field dynamics → continuum and semiclassical tests → physical-observable 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 “simplicity, asymptotic, and anomaly checks” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “simplicity, asymptotic, and anomaly checks” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "simplicity, asymptotic, and anomaly checks",
        "html": "simplicity, asymptotic, and anomaly checks"
      },
      "failure_condition": {
        "text": "established continuum dynamics",
        "html": "established continuum dynamics"
      },
      "licensed_conclusion": {
        "text": "a proposed covariant transition amplitude",
        "html": "a proposed covariant transition amplitude"
      }
    },
    {
      "claim_object": {
        "text": "semiclassical recovery",
        "html": "semiclassical recovery"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare state family and coarse graining; use the volume conventions unless the page states a local replacement.",
        "html": "Declare state family and coarse graining; 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: constrained phase space → connections and spin networks → Hamiltonian, foam, or group-field dynamics → continuum and semiclassical tests → physical-observable claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: constrained phase space → connections and spin networks → Hamiltonian, foam, or group-field dynamics → continuum and semiclassical tests → physical-observable 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 “Einstein limit and fluctuation scaling” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “Einstein limit and fluctuation scaling” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "Einstein limit and fluctuation scaling",
        "html": "Einstein limit and fluctuation scaling"
      },
      "failure_condition": {
        "text": "full low-energy phenomenology",
        "html": "full low-energy phenomenology"
      },
      "licensed_conclusion": {
        "text": "recovery in the tested sector",
        "html": "recovery in the tested sector"
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}