{
  "title": "Representative claim domains and validity boundaries for AdS Scattering, Mellin Methods, and Bulk Locality",
  "table_id": "ads-scattering-mellin-methods-and-bulk-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": "Mellin pole",
        "html": "Mellin pole"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare Gamma measure, contour, and normalization; use the volume conventions unless the page states a local replacement.",
        "html": "Declare Gamma measure, contour, and normalization; 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: CFT and Mellin data → exchange poles and contacts → Regge and gap controls → flat-space scaling limit → bounded locality claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: CFT and Mellin data → exchange poles and contacts → Regge and gap controls → flat-space scaling limit → bounded locality 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 “recover OPE data and residues” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “recover OPE data and residues” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "recover OPE data and residues",
        "html": "recover OPE data and residues"
      },
      "failure_condition": {
        "text": "a unique local particle exchange",
        "html": "a unique local particle exchange"
      },
      "licensed_conclusion": {
        "text": "a pole of the declared correlator",
        "html": "a pole of the declared correlator"
      }
    },
    {
      "claim_object": {
        "text": "flat-space limit",
        "html": "flat-space limit"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare wavepackets and AdS-radius scaling; use the volume conventions unless the page states a local replacement.",
        "html": "Declare wavepackets and AdS-radius scaling; 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: CFT and Mellin data → exchange poles and contacts → Regge and gap controls → flat-space scaling limit → bounded locality claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: CFT and Mellin data → exchange poles and contacts → Regge and gap controls → flat-space scaling limit → bounded locality 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 “unitarity and normalization check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “unitarity and normalization check” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "unitarity and normalization check",
        "html": "unitarity and normalization check"
      },
      "failure_condition": {
        "text": "finite-radius S-matrix equality",
        "html": "finite-radius S-matrix equality"
      },
      "licensed_conclusion": {
        "text": "a limiting scattering distribution",
        "html": "a limiting scattering distribution"
      }
    },
    {
      "claim_object": {
        "text": "bulk locality",
        "html": "bulk locality"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare gap, Regge bound, and EFT window; use the volume conventions unless the page states a local replacement.",
        "html": "Declare gap, Regge bound, and EFT window; 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: CFT and Mellin data → exchange poles and contacts → Regge and gap controls → flat-space scaling limit → bounded locality claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: CFT and Mellin data → exchange poles and contacts → Regge and gap controls → flat-space scaling limit → bounded locality 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-gap remainder estimate” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “finite-gap remainder estimate” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "finite-gap remainder estimate",
        "html": "finite-gap remainder estimate"
      },
      "failure_condition": {
        "text": "exact locality at finite gap",
        "html": "exact locality at finite gap"
      },
      "licensed_conclusion": {
        "text": "approximate locality below the gap",
        "html": "approximate locality below the gap"
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}