{
  "title": "Representative claim domains and validity boundaries for Bulk Reconstruction and Gravitational Dressing",
  "table_id": "bulk-reconstruction-locality-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": "HKLL field",
        "html": "HKLL field"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare free equation, patch, and normalizable modes; use the volume conventions unless the page states a local replacement.",
        "html": "Declare free equation, patch, and normalizable modes; 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: boundary region and algebra → bulk equation and smearing → interaction and gravitational dressing → causal and error checks → reconstructable observable. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: boundary region and algebra → bulk equation and smearing → interaction and gravitational dressing → causal and error checks → reconstructable 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 “boundary limit and commutator check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “boundary limit and commutator check” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "boundary limit and commutator check",
        "html": "boundary limit and commutator check"
      },
      "failure_condition": {
        "text": "exact finite-N local operator",
        "html": "exact finite-N local operator"
      },
      "licensed_conclusion": {
        "text": "perturbative bulk field in a wedge",
        "html": "perturbative bulk field in a wedge"
      }
    },
    {
      "claim_object": {
        "text": "dressed observable",
        "html": "dressed observable"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare anchoring and gauge convention; use the volume conventions unless the page states a local replacement.",
        "html": "Declare anchoring and gauge convention; 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: boundary region and algebra → bulk equation and smearing → interaction and gravitational dressing → causal and error checks → reconstructable observable. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: boundary region and algebra → bulk equation and smearing → interaction and gravitational dressing → causal and error checks → reconstructable 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 “Gauss-law and boundary-charge check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “Gauss-law and boundary-charge check” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "Gauss-law and boundary-charge check",
        "html": "Gauss-law and boundary-charge check"
      },
      "failure_condition": {
        "text": "strict compact support",
        "html": "strict compact support"
      },
      "licensed_conclusion": {
        "text": "a gauge-invariant relational observable",
        "html": "a gauge-invariant relational observable"
      }
    },
    {
      "claim_object": {
        "text": "subregion reconstruction",
        "html": "subregion reconstruction"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare region, code sector, and norm; use the volume conventions unless the page states a local replacement.",
        "html": "Declare region, code sector, and norm; 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: boundary region and algebra → bulk equation and smearing → interaction and gravitational dressing → causal and error checks → reconstructable observable. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: boundary region and algebra → bulk equation and smearing → interaction and gravitational dressing → causal and error checks → reconstructable 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 “complement and overlap consistency” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “complement and overlap consistency” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "complement and overlap consistency",
        "html": "complement and overlap consistency"
      },
      "failure_condition": {
        "text": "state-independent global locality",
        "html": "state-independent global locality"
      },
      "licensed_conclusion": {
        "text": "region-adapted reconstruction",
        "html": "region-adapted reconstruction"
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}
