{
  "title": "Representative claim domains and validity boundaries for Holographic Complexity Proposals and Diagnostics",
  "table_id": "holographic-complexity-proposals-and-diagnostics-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": "complexity equals volume",
        "html": "complexity equals volume"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare slice, length scale, and subtraction; use the volume conventions unless the page states a local replacement.",
        "html": "Declare slice, length scale, and subtraction; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Proposal or conditional construction. Control chain: boundary complexity task → CV, CA, or path proposal → regulator and counterterms → growth and switchback tests → proposal comparison. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Proposal or conditional construction. Control chain: boundary complexity task → CV, CA, or path proposal → regulator and counterterms → growth and switchback tests → proposal comparison. 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 “late-growth and formation checks” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “late-growth and formation checks” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "late-growth and formation checks",
        "html": "late-growth and formation checks"
      },
      "failure_condition": {
        "text": "the same observable as action",
        "html": "the same observable as action"
      },
      "licensed_conclusion": {
        "text": "one geometric proposal",
        "html": "one geometric proposal"
      }
    },
    {
      "claim_object": {
        "text": "complexity equals action",
        "html": "complexity equals action"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare WdW patch and null-boundary terms; use the volume conventions unless the page states a local replacement.",
        "html": "Declare WdW patch and null-boundary terms; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Proposal or conditional construction. Control chain: boundary complexity task → CV, CA, or path proposal → regulator and counterterms → growth and switchback tests → proposal comparison. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Proposal or conditional construction. Control chain: boundary complexity task → CV, CA, or path proposal → regulator and counterterms → growth and switchback tests → proposal comparison. 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 “joint, counterterm, and switchback check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “joint, counterterm, and switchback check” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "joint, counterterm, and switchback check",
        "html": "joint, counterterm, and switchback check"
      },
      "failure_condition": {
        "text": "scheme-independent complexity",
        "html": "scheme-independent complexity"
      },
      "licensed_conclusion": {
        "text": "one action-based proposal",
        "html": "one action-based proposal"
      }
    },
    {
      "claim_object": {
        "text": "complexity bound",
        "html": "complexity bound"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare gate set or bulk prescription; use the volume conventions unless the page states a local replacement.",
        "html": "Declare gate set or bulk prescription; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Proposal or conditional construction. Control chain: boundary complexity task → CV, CA, or path proposal → regulator and counterterms → growth and switchback tests → proposal comparison. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Proposal or conditional construction. Control chain: boundary complexity task → CV, CA, or path proposal → regulator and counterterms → growth and switchback tests → proposal comparison. 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 “counterexample and normalization test” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “counterexample and normalization test” check is counterevidence to the promoted claim."
      },
      "falsifier": {
        "text": "counterexample and normalization test",
        "html": "counterexample and normalization test"
      },
      "failure_condition": {
        "text": "a universal operational theorem",
        "html": "a universal operational theorem"
      },
      "licensed_conclusion": {
        "text": "a bound in the stated model",
        "html": "a bound in the stated model"
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}