{
  "title": "Representative claim domains and validity boundaries for Holographic Renormalization and Radial Dynamics",
  "table_id": "holographic-renormalization-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": "divergent on-shell action",
        "html": "divergent on-shell action"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare radial coordinate and induced fields; use the volume conventions unless the page states a local replacement.",
        "html": "Declare radial coordinate and induced fields; 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: Fefferman-Graham cutoff data → radial Hamilton-Jacobi recursion → local and finite counterterms → one-point functions and Ward identities → renormalized observable. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: Fefferman-Graham cutoff data → radial Hamilton-Jacobi recursion → local and finite counterterms → one-point functions and Ward identities → renormalized observable. 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 “Hamilton-Jacobi cancellation” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “Hamilton-Jacobi cancellation” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "Hamilton-Jacobi cancellation",
        "html": "Hamilton-Jacobi cancellation"
      },
      "failure_condition": {
        "text": "scheme-independent finite contact terms",
        "html": "scheme-independent finite contact terms"
      },
      "licensed_conclusion": {
        "text": "finite variational problem",
        "html": "finite variational problem"
      }
    },
    {
      "claim_object": {
        "text": "one-point function",
        "html": "one-point function"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare source normalization and counterterm action; use the volume conventions unless the page states a local replacement.",
        "html": "Declare source normalization and counterterm action; 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: Fefferman-Graham cutoff data → radial Hamilton-Jacobi recursion → local and finite counterterms → one-point functions and Ward identities → renormalized observable. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: Fefferman-Graham cutoff data → radial Hamilton-Jacobi recursion → local and finite counterterms → one-point functions and Ward identities → renormalized observable. 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 “Ward and anomaly identities” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “Ward and anomaly identities” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "Ward and anomaly identities",
        "html": "Ward and anomaly identities"
      },
      "failure_condition": {
        "text": "a bare bulk coefficient",
        "html": "a bare bulk coefficient"
      },
      "licensed_conclusion": {
        "text": "renormalized response in one scheme",
        "html": "renormalized response in one scheme"
      }
    },
    {
      "claim_object": {
        "text": "radial flow",
        "html": "radial flow"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare cutoff surface and boundary conditions; use the volume conventions unless the page states a local replacement.",
        "html": "Declare cutoff surface and boundary conditions; 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: Fefferman-Graham cutoff data → radial Hamilton-Jacobi recursion → local and finite counterterms → one-point functions and Ward identities → renormalized observable. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: Fefferman-Graham cutoff data → radial Hamilton-Jacobi recursion → local and finite counterterms → one-point functions and Ward identities → renormalized observable. 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 “canonical transformation check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “canonical transformation check” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "canonical transformation check",
        "html": "canonical transformation check"
      },
      "failure_condition": {
        "text": "ordinary Wilsonian RG without qualifications",
        "html": "ordinary Wilsonian RG without qualifications"
      },
      "licensed_conclusion": {
        "text": "radial evolution of data",
        "html": "radial evolution of data"
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}