{
  "title": "Representative claim domains and validity boundaries for Holographic Entropy and Quantum Extremal Geometry",
  "table_id": "entanglement-emergent-geometry-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": "RT or HRT surface",
        "html": "RT or HRT surface"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare state, region, homology, and causal setting; use the volume conventions unless the page states a local replacement.",
        "html": "Declare state, region, homology, and causal setting; 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: regulated state and entropy → extremal or generalized functional → replica and surface selection → maximin and correction checks → geometric entropy claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: regulated state and entropy → extremal or generalized functional → replica and surface selection → maximin and correction checks → geometric entropy 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 “maximin and competing-surface check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “maximin and competing-surface check” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "maximin and competing-surface check",
        "html": "maximin and competing-surface check"
      },
      "failure_condition": {
        "text": "exact finite-N entropy",
        "html": "exact finite-N entropy"
      },
      "licensed_conclusion": {
        "text": "leading semiclassical entropy",
        "html": "leading semiclassical entropy"
      }
    },
    {
      "claim_object": {
        "text": "FLM or QES",
        "html": "FLM or QES"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare bulk entropy scheme and Newton coupling; use the volume conventions unless the page states a local replacement.",
        "html": "Declare bulk entropy scheme and Newton coupling; 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: regulated state and entropy → extremal or generalized functional → replica and surface selection → maximin and correction checks → geometric entropy claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: regulated state and entropy → extremal or generalized functional → replica and surface selection → maximin and correction checks → geometric entropy 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 “generalized-entropy extremization” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “generalized-entropy extremization” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "generalized-entropy extremization",
        "html": "generalized-entropy extremization"
      },
      "failure_condition": {
        "text": "microscopic factorization",
        "html": "microscopic factorization"
      },
      "licensed_conclusion": {
        "text": "stated quantum correction",
        "html": "stated quantum correction"
      }
    },
    {
      "claim_object": {
        "text": "replica derivation",
        "html": "replica derivation"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare integer replicas and continuation rule; use the volume conventions unless the page states a local replacement.",
        "html": "Declare integer replicas and continuation rule; 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: regulated state and entropy → extremal or generalized functional → replica and surface selection → maximin and correction checks → geometric entropy claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: regulated state and entropy → extremal or generalized functional → replica and surface selection → maximin and correction checks → geometric entropy 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 “cone regularity and saddle competition” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “cone regularity and saddle competition” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "cone regularity and saddle competition",
        "html": "cone regularity and saddle competition"
      },
      "failure_condition": {
        "text": "unique nonperturbative continuation",
        "html": "unique nonperturbative continuation"
      },
      "licensed_conclusion": {
        "text": "conditional analytic continuation",
        "html": "conditional analytic continuation"
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}