{
  "title": "Representative claim domains and validity boundaries for Large N and Semiclassical Bulk Criteria",
  "table_id": "large-n-holographic-evidence-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": "factorization",
        "html": "factorization"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare operator normalization and N scaling; use the volume conventions unless the page states a local replacement.",
        "html": "Declare operator normalization and N scaling; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Conditional theorem or structural result. Control chain: normalized large-N data → factorization and spectrum → gap and coupling hierarchy → locality and correction tests → semiclassical-bulk criterion. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Conditional theorem or structural result. Control chain: normalized large-N data → factorization and spectrum → gap and coupling hierarchy → locality and correction tests → semiclassical-bulk criterion. 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 “connected-correlator hierarchy” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “connected-correlator hierarchy” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "connected-correlator hierarchy",
        "html": "connected-correlator hierarchy"
      },
      "failure_condition": {
        "text": "geometric locality",
        "html": "geometric locality"
      },
      "licensed_conclusion": {
        "text": "classical large-N organization",
        "html": "classical large-N organization"
      }
    },
    {
      "claim_object": {
        "text": "large gap",
        "html": "large gap"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare single-trace sector and gap definition; use the volume conventions unless the page states a local replacement.",
        "html": "Declare single-trace sector and gap definition; 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: normalized large-N data → factorization and spectrum → gap and coupling hierarchy → locality and correction tests → semiclassical-bulk criterion. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: normalized large-N data → factorization and spectrum → gap and coupling hierarchy → locality and correction tests → semiclassical-bulk criterion. 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 “Regge and finite-gap tests” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “Regge and finite-gap tests” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "Regge and finite-gap tests",
        "html": "Regge and finite-gap tests"
      },
      "failure_condition": {
        "text": "a sufficient local bulk",
        "html": "a sufficient local bulk"
      },
      "licensed_conclusion": {
        "text": "heavy higher-spin sector",
        "html": "heavy higher-spin sector"
      }
    },
    {
      "claim_object": {
        "text": "finite-N sector",
        "html": "finite-N sector"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare order of N, time, and energy limits; use the volume conventions unless the page states a local replacement.",
        "html": "Declare order of N, time, and energy limits; 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: normalized large-N data → factorization and spectrum → gap and coupling hierarchy → locality and correction tests → semiclassical-bulk criterion. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: normalized large-N data → factorization and spectrum → gap and coupling hierarchy → locality and correction tests → semiclassical-bulk criterion. 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 “exponential and recurrence checks” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “exponential and recurrence checks” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "exponential and recurrence checks",
        "html": "exponential and recurrence checks"
      },
      "failure_condition": {
        "text": "exact late-time behavior",
        "html": "exact late-time behavior"
      },
      "licensed_conclusion": {
        "text": "a stated asymptotic approximation",
        "html": "a stated asymptotic approximation"
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}