{
  "title": "Representative claim domains and validity boundaries for Black-Hole Microstates and Stringy Entropy",
  "table_id": "black-hole-microstates-and-stringy-entropy-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": "BPS index",
        "html": "BPS index"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare charges, chamber, and fermion signs; use the volume conventions unless the page states a local replacement.",
        "html": "Declare charges, chamber, and fermion signs; 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: charges and protected sector → index versus degeneracy → brane count and attractor data → correction and emission checks → microstate claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: charges and protected sector → index versus degeneracy → brane count and attractor data → correction and emission checks → microstate 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 “wall-crossing and growth check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “wall-crossing and growth check” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "wall-crossing and growth check",
        "html": "wall-crossing and growth check"
      },
      "failure_condition": {
        "text": "actual degeneracy in every regime",
        "html": "actual degeneracy in every regime"
      },
      "licensed_conclusion": {
        "text": "protected signed count",
        "html": "protected signed count"
      }
    },
    {
      "claim_object": {
        "text": "brane microstate count",
        "html": "brane microstate count"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare decoupling limit and charge map; use the volume conventions unless the page states a local replacement.",
        "html": "Declare decoupling limit and charge map; 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: charges and protected sector → index versus degeneracy → brane count and attractor data → correction and emission checks → microstate claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: charges and protected sector → index versus degeneracy → brane count and attractor data → correction and emission checks → microstate 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 “Cardy or localization comparison” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “Cardy or localization comparison” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "Cardy or localization comparison",
        "html": "Cardy or localization comparison"
      },
      "failure_condition": {
        "text": "typical non-BPS geometry",
        "html": "typical non-BPS geometry"
      },
      "licensed_conclusion": {
        "text": "entropy match in a controlled sector",
        "html": "entropy match in a controlled sector"
      }
    },
    {
      "claim_object": {
        "text": "microstate geometry",
        "html": "microstate geometry"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare smooth solution family and quantization; use the volume conventions unless the page states a local replacement.",
        "html": "Declare smooth solution family and quantization; 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: charges and protected sector → index versus degeneracy → brane count and attractor data → correction and emission checks → microstate claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: charges and protected sector → index versus degeneracy → brane count and attractor data → correction and emission checks → microstate 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 “charge, moduli, and measure test” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “charge, moduli, and measure test” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "charge, moduli, and measure test",
        "html": "charge, moduli, and measure test"
      },
      "failure_condition": {
        "text": "enumeration of the full Hilbert space",
        "html": "enumeration of the full Hilbert space"
      },
      "licensed_conclusion": {
        "text": "explicit semiclassical states",
        "html": "explicit semiclassical states"
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}