{
  "title": "Representative claim domains and validity boundaries for Entanglement Wedges and Holographic Quantum Error Correction",
  "table_id": "entanglement-wedges-and-holographic-quantum-error-correction-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": "toy tensor code",
        "html": "toy tensor code"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare finite Hilbert spaces and exact isometry; use the volume conventions unless the page states a local replacement.",
        "html": "Declare finite Hilbert spaces and exact isometry; 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: code subspace and algebras → encoding and recovery maps → wedge and area-center data → error norm and finite-N test → qualified QEC claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: code subspace and algebras → encoding and recovery maps → wedge and area-center data → error norm and finite-N test → qualified QEC 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 “erasure-recovery identity” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “erasure-recovery identity” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "erasure-recovery identity",
        "html": "erasure-recovery identity"
      },
      "failure_condition": {
        "text": "a theorem about gravity",
        "html": "a theorem about gravity"
      },
      "licensed_conclusion": {
        "text": "exact logical recovery in the model",
        "html": "exact logical recovery in the model"
      }
    },
    {
      "claim_object": {
        "text": "semiclassical wedge",
        "html": "semiclassical wedge"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare code subspace, center, and area term; use the volume conventions unless the page states a local replacement.",
        "html": "Declare code subspace, center, and area term; 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: code subspace and algebras → encoding and recovery maps → wedge and area-center data → error norm and finite-N test → qualified QEC claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: code subspace and algebras → encoding and recovery maps → wedge and area-center data → error norm and finite-N test → qualified QEC 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 “relative entropy and complementary recovery” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “relative entropy and complementary recovery” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "relative entropy and complementary recovery",
        "html": "relative entropy and complementary recovery"
      },
      "failure_condition": {
        "text": "exact finite-N isometry",
        "html": "exact finite-N isometry"
      },
      "licensed_conclusion": {
        "text": "leading-order algebraic reconstruction",
        "html": "leading-order algebraic reconstruction"
      }
    },
    {
      "claim_object": {
        "text": "finite-N recovery",
        "html": "finite-N recovery"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare operator class and error norm; use the volume conventions unless the page states a local replacement.",
        "html": "Declare operator class and error 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: code subspace and algebras → encoding and recovery maps → wedge and area-center data → error norm and finite-N test → qualified QEC claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: code subspace and algebras → encoding and recovery maps → wedge and area-center data → error norm and finite-N test → qualified QEC 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 “optimal recovery and complement test” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “optimal recovery and complement test” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "optimal recovery and complement test",
        "html": "optimal recovery and complement test"
      },
      "failure_condition": {
        "text": "consensus on a shared logical algebra",
        "html": "consensus on a shared logical algebra"
      },
      "licensed_conclusion": {
        "text": "an explicit approximate statement",
        "html": "an explicit approximate statement"
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}