{
  "title": "Representative claim domains and validity boundaries for Wormholes, Gravitational Path Integrals, and Ensembles",
  "table_id": "wormholes-gravitational-path-integrals-and-ensembles-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": "Euclidean wormhole",
        "html": "Euclidean wormhole"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare boundary data, measure, and cycle; use the volume conventions unless the page states a local replacement.",
        "html": "Declare boundary data, measure, and cycle; 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 conditions and contour → saddles and negative modes → topology or replica sum → factorization and alpha-sector tests → completion claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: boundary conditions and contour → saddles and negative modes → topology or replica sum → factorization and alpha-sector tests → completion 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 “negative-mode and steepest-descent check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “negative-mode and steepest-descent check” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "negative-mode and steepest-descent check",
        "html": "negative-mode and steepest-descent check"
      },
      "failure_condition": {
        "text": "a convergent gravitational path integral",
        "html": "a convergent gravitational path integral"
      },
      "licensed_conclusion": {
        "text": "a saddle contribution",
        "html": "a saddle contribution"
      }
    },
    {
      "claim_object": {
        "text": "replica wormhole",
        "html": "replica wormhole"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare replica boundary conditions and continuation; use the volume conventions unless the page states a local replacement.",
        "html": "Declare replica boundary conditions and continuation; 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 conditions and contour → saddles and negative modes → topology or replica sum → factorization and alpha-sector tests → completion claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: boundary conditions and contour → saddles and negative modes → topology or replica sum → factorization and alpha-sector tests → completion 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 “saddle competition and entropy check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “saddle competition and entropy check” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "saddle competition and entropy check",
        "html": "saddle competition and entropy check"
      },
      "failure_condition": {
        "text": "microscopic evaporation dynamics",
        "html": "microscopic evaporation dynamics"
      },
      "licensed_conclusion": {
        "text": "a semiclassical replica contribution",
        "html": "a semiclassical replica contribution"
      }
    },
    {
      "claim_object": {
        "text": "factorization statement",
        "html": "factorization statement"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare fixed theory, ensemble, or alpha sector; use the volume conventions unless the page states a local replacement.",
        "html": "Declare fixed theory, ensemble, or alpha sector; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Conditional theorem or structural result. Control chain: boundary conditions and contour → saddles and negative modes → topology or replica sum → factorization and alpha-sector tests → completion claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Conditional theorem or structural result. Control chain: boundary conditions and contour → saddles and negative modes → topology or replica sum → factorization and alpha-sector tests → completion 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 “multi-boundary connectedness test” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “multi-boundary connectedness test” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "multi-boundary connectedness test",
        "html": "multi-boundary connectedness test"
      },
      "failure_condition": {
        "text": "automatic ensemble averaging",
        "html": "automatic ensemble averaging"
      },
      "licensed_conclusion": {
        "text": "the declared factorization property",
        "html": "the declared factorization property"
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}