{
  "title": "Claim domains, failure conditions, and destinations across Volume XV",
  "table_id": "holography-quantum-gravity-claim-domain-handoff-table",
  "columns": [
    {
      "key": "domain_and_destination",
      "label": "Domain and destination"
    },
    {
      "key": "object_and_observable",
      "label": "Object and observable"
    },
    {
      "key": "state_ensemble_and_conventions",
      "label": "State, ensemble, and conventions"
    },
    {
      "key": "approximation_status_and_evidence_timing",
      "label": "Approximation, status, and evidence timing"
    },
    {
      "key": "uncertainty_counterevidence_and_falsifier",
      "label": "Uncertainty, counterevidence, and falsifier"
    },
    {
      "key": "failure_condition",
      "label": "Failure condition"
    },
    {
      "key": "licensed_conclusion",
      "label": "Licensed conclusion"
    }
  ],
  "records": [
    {
      "domain_and_destination": {
        "text": "Quantum-Gravity Claims, Observables, and Evidence",
        "html": "<a href=\"/holography-quantum-gravity/quantum-gravity-claims-observables-and-evidence/\">Quantum-Gravity Claims, Observables, and Evidence</a>"
      },
      "object_and_observable": {
        "text": "dictionary; saddle result; phenomenological proposal",
        "html": "dictionary; saddle result; phenomenological proposal"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare both theories and parameter map; state, contour, and expansion order; mechanism, nuisance model, and data; use the volume conventions unless the page states a local replacement.",
        "html": "Declare both theories and parameter map; state, contour, and expansion order; mechanism, nuisance model, and data; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Proposal or conditional construction. Control chain: theory pair and global data → state, algebra, and observable → claim class and regime → evidence and falsifier → bounded conclusion. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Proposal or conditional construction. Control chain: theory pair and global data → state, algebra, and observable → claim class and regime → evidence and falsifier → bounded conclusion. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “round-trip one protected observable; vary saddle and limit order; compare independent alternatives” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “round-trip one protected observable; vary saddle and limit order; compare independent alternatives” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "exact equivalence; nonperturbative completion; evidence for a unique UV theory",
        "html": "exact equivalence; nonperturbative completion; evidence for a unique UV theory"
      },
      "licensed_conclusion": {
        "text": "A quantum-gravity claim becomes testable only after its theories, observable, regime, evidence class, and falsifier are fixed.",
        "html": "A quantum-gravity claim becomes testable only after its theories, observable, regime, evidence class, and falsifier are fixed."
      }
    },
    {
      "domain_and_destination": {
        "text": "Large N and Semiclassical Bulk Criteria",
        "html": "<a href=\"/holography-quantum-gravity/large-n-holographic-evidence/\">Large N and Semiclassical Bulk Criteria</a>"
      },
      "object_and_observable": {
        "text": "factorization; large gap; finite-N sector",
        "html": "factorization; large gap; finite-N sector"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare operator normalization and N scaling; single-trace sector and gap definition; order of N, time, and energy limits; use the volume conventions unless the page states a local replacement.",
        "html": "Declare operator normalization and N scaling; single-trace sector and gap definition; order of N, time, and energy limits; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Conditional theorem or structural result. Control chain: normalized large-N data → factorization and spectrum → gap and coupling hierarchy → locality and correction tests → semiclassical-bulk criterion. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Conditional theorem or structural result. Control chain: normalized large-N data → factorization and spectrum → gap and coupling hierarchy → locality and correction tests → semiclassical-bulk criterion. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “connected-correlator hierarchy; Regge and finite-gap tests; exponential and recurrence checks” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “connected-correlator hierarchy; Regge and finite-gap tests; exponential and recurrence checks” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "geometric locality; a sufficient local bulk; exact late-time behavior",
        "html": "geometric locality; a sufficient local bulk; exact late-time behavior"
      },
      "licensed_conclusion": {
        "text": "Factorization, sparsity, a higher-spin gap, and controlled corrections are independent criteria; large N alone does not imply Einstein gravity.",
        "html": "Factorization, sparsity, a higher-spin gap, and controlled corrections are independent criteria; large N alone does not imply Einstein gravity."
      }
    },
    {
      "domain_and_destination": {
        "text": "AdS Geometry, Boundary Problems, and the Dictionary",
        "html": "<a href=\"/holography-quantum-gravity/ads-cft-dictionary/\">AdS Geometry, Boundary Problems, and the Dictionary</a>"
      },
      "object_and_observable": {
        "text": "scalar mode; current or stress tensor; state dictionary",
        "html": "scalar mode; current or stress tensor; state dictionary"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare mass, patch, and boundary condition; gauge group, charges, and counterterms; Euclidean cap or Lorentzian initial data; use the volume conventions unless the page states a local replacement.",
        "html": "Declare mass, patch, and boundary condition; gauge group, charges, and counterterms; Euclidean cap or Lorentzian initial data; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Dictionary entry or correspondence claim. Control chain: AdS patch and conformal boundary → boundary and global conditions → asymptotic field modes → renormalized source and response → operator dictionary. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Dictionary entry or correspondence claim. Control chain: AdS patch and conformal boundary → boundary and global conditions → asymptotic field modes → renormalized source and response → operator dictionary. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “normalizability and flux test; Ward identity and two-point normalization; causal and inner-product check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “normalizability and flux test; Ward identity and two-point normalization; causal and inner-product check” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a branch outside its stability window; complete global equivalence; all heavy states have smooth geometries",
        "html": "a branch outside its stability window; complete global equivalence; all heavy states have smooth geometries"
      },
      "licensed_conclusion": {
        "text": "An AdS/CFT entry is defined by geometry, boundary conditions, global sector, quantization branch, and normalization—not by a mass-dimension formula alone.",
        "html": "An AdS/CFT entry is defined by geometry, boundary conditions, global sector, quantization branch, and normalization—not by a mass-dimension formula alone."
      }
    },
    {
      "domain_and_destination": {
        "text": "String, Brane, and Top-Down Constructions",
        "html": "<a href=\"/holography-quantum-gravity/beyond-ads-string-interfaces/\">String, Brane, and Top-Down Constructions</a>"
      },
      "object_and_observable": {
        "text": "brane decoupling; lower-dimensional truncation; supergravity regime",
        "html": "brane decoupling; lower-dimensional truncation; supergravity regime"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare charges, energy scaling, and asymptotics; retained fields and compact geometry; curvature, string scale, and string coupling; use the volume conventions unless the page states a local replacement.",
        "html": "Declare charges, energy scaling, and asymptotics; retained fields and compact geometry; curvature, string scale, and string 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: worldsheet and brane data → decoupling or near-horizon limit → flux and compact factors → truncation and corrections → top-down dictionary. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: worldsheet and brane data → decoupling or near-horizon limit → flux and compact factors → truncation and corrections → top-down dictionary. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “open/closed and near-horizon limit; uplift every lower-dimensional solution; alpha-prime and loop estimates” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “open/closed and near-horizon limit; uplift every lower-dimensional solution; alpha-prime and loop estimates” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a complete dictionary at finite cutoff; the complete compactified theory; a nonperturbative definition",
        "html": "a complete dictionary at finite cutoff; the complete compactified theory; a nonperturbative definition"
      },
      "licensed_conclusion": {
        "text": "Top-down control requires separate checks of decoupling, flux quantization, Kaluza-Klein scales, truncation, string corrections, and loops.",
        "html": "Top-down control requires separate checks of decoupling, flux quantization, Kaluza-Klein scales, truncation, string corrections, and loops."
      }
    },
    {
      "domain_and_destination": {
        "text": "Nonperturbative String- and M-Theory Definition Proposals",
        "html": "<a href=\"/holography-quantum-gravity/nonperturbative-string-and-m-theory-definition-proposals/\">Nonperturbative String- and M-Theory Definition Proposals</a>"
      },
      "object_and_observable": {
        "text": "matrix quantum mechanics; matrix or string field model; AdS/CFT as definition",
        "html": "matrix quantum mechanics; matrix or string field model; AdS/CFT as definition"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare large-N limit and compactification sector; gauge fixing, background, and observables; exact boundary theory and global data; use the volume conventions unless the page states a local replacement.",
        "html": "Declare large-N limit and compactification sector; gauge fixing, background, and observables; exact boundary theory and global data; 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: defining variables and action → Hamiltonian or path integral → observable and sector map → spacetime recovery tests → typed definition claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: defining variables and action → Hamiltonian or path integral → observable and sector map → spacetime recovery tests → typed definition claim. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “spectrum and scattering benchmarks; unitarity and spacetime-recovery tests; bulk dictionary completeness” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “spectrum and scattering benchmarks; unitarity and spacetime-recovery tests; bulk dictionary completeness” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "manifest covariant completeness; all nonperturbative backgrounds; a definition of arbitrary quantum gravity",
        "html": "manifest covariant completeness; all nonperturbative backgrounds; a definition of arbitrary quantum gravity"
      },
      "licensed_conclusion": {
        "text": "BFSS, BMN, IKKT, matrix strings, string field theory, and AdS/CFT define different objects and satisfy different completeness tests.",
        "html": "BFSS, BMN, IKKT, matrix strings, string field theory, and AdS/CFT define different objects and satisfy different completeness tests."
      }
    },
    {
      "domain_and_destination": {
        "text": "Holographic Renormalization and Radial Dynamics",
        "html": "<a href=\"/holography-quantum-gravity/holographic-renormalization/\">Holographic Renormalization and Radial Dynamics</a>"
      },
      "object_and_observable": {
        "text": "divergent on-shell action; one-point function; radial flow",
        "html": "divergent on-shell action; one-point function; radial flow"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare radial coordinate and induced fields; source normalization and counterterm action; cutoff surface and boundary conditions; use the volume conventions unless the page states a local replacement.",
        "html": "Declare radial coordinate and induced fields; source normalization and counterterm action; cutoff surface and boundary conditions; 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: Fefferman-Graham cutoff data → radial Hamilton-Jacobi recursion → local and finite counterterms → one-point functions and Ward identities → renormalized observable. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: Fefferman-Graham cutoff data → radial Hamilton-Jacobi recursion → local and finite counterterms → one-point functions and Ward identities → renormalized observable. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “Hamilton-Jacobi cancellation; Ward and anomaly identities; canonical transformation check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “Hamilton-Jacobi cancellation; Ward and anomaly identities; canonical transformation check” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "scheme-independent finite contact terms; a bare bulk coefficient; ordinary Wilsonian RG without qualifications",
        "html": "scheme-independent finite contact terms; a bare bulk coefficient; ordinary Wilsonian RG without qualifications"
      },
      "licensed_conclusion": {
        "text": "Holographic renormalization fixes divergences but leaves declared finite schemes, boundary conditions, and contact terms in the physical answer.",
        "html": "Holographic renormalization fixes divergences but leaves declared finite schemes, boundary conditions, and contact terms in the physical answer."
      }
    },
    {
      "domain_and_destination": {
        "text": "Witten Diagrams and AdS Perturbation Theory",
        "html": "<a href=\"/holography-quantum-gravity/correlators-witten-diagrams/\">Witten Diagrams and AdS Perturbation Theory</a>"
      },
      "object_and_observable": {
        "text": "contact diagram; exchange diagram; loop diagram",
        "html": "contact diagram; exchange diagram; loop diagram"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare vertex, measure, and source normalization; field spectrum and propagator branch; regulator, counterterms, and contour; use the volume conventions unless the page states a local replacement.",
        "html": "Declare vertex, measure, and source normalization; field spectrum and propagator branch; regulator, counterterms, and contour; 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 sources and bulk action → propagators and vertices → AdS diagram integral → OPE and analytic checks → perturbative boundary correlator. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: boundary sources and bulk action → propagators and vertices → AdS diagram integral → OPE and analytic checks → perturbative boundary correlator. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “crossing and short-distance check; pole and conformal-block decomposition; unitarity cut and renormalization check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “crossing and short-distance check; pole and conformal-block decomposition; unitarity cut and renormalization check” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a unique bulk Lagrangian; a flat-space amplitude; an exact finite-N correlator",
        "html": "a unique bulk Lagrangian; a flat-space amplitude; an exact finite-N correlator"
      },
      "licensed_conclusion": {
        "text": "A Witten diagram is an AdS perturbative contribution whose normalization, boundary conditions, contact terms, and loop counterterms remain explicit.",
        "html": "A Witten diagram is an AdS perturbative contribution whose normalization, boundary conditions, contact terms, and loop counterterms remain explicit."
      }
    },
    {
      "domain_and_destination": {
        "text": "AdS Scattering, Mellin Methods, and Bulk Locality",
        "html": "<a href=\"/holography-quantum-gravity/ads-scattering-mellin-methods-and-bulk-locality/\">AdS Scattering, Mellin Methods, and Bulk Locality</a>"
      },
      "object_and_observable": {
        "text": "Mellin pole; flat-space limit; bulk locality",
        "html": "Mellin pole; flat-space limit; bulk locality"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare Gamma measure, contour, and normalization; wavepackets and AdS-radius scaling; gap, Regge bound, and EFT window; use the volume conventions unless the page states a local replacement.",
        "html": "Declare Gamma measure, contour, and normalization; wavepackets and AdS-radius scaling; gap, Regge bound, and EFT window; 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: CFT and Mellin data → exchange poles and contacts → Regge and gap controls → flat-space scaling limit → bounded locality claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: CFT and Mellin data → exchange poles and contacts → Regge and gap controls → flat-space scaling limit → bounded locality claim. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “recover OPE data and residues; unitarity and normalization check; finite-gap remainder estimate” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “recover OPE data and residues; unitarity and normalization check; finite-gap remainder estimate” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a unique local particle exchange; finite-radius S-matrix equality; exact locality at finite gap",
        "html": "a unique local particle exchange; finite-radius S-matrix equality; exact locality at finite gap"
      },
      "licensed_conclusion": {
        "text": "Mellin poles, bounded growth, a large gap, and a controlled flat limit support different parts of a bulk-scattering interpretation.",
        "html": "Mellin poles, bounded growth, a large gap, and a controlled flat limit support different parts of a bulk-scattering interpretation."
      }
    },
    {
      "domain_and_destination": {
        "text": "Thermal Phases and AdS Black Holes",
        "html": "<a href=\"/holography-quantum-gravity/thermal-phases-and-ads-black-holes/\">Thermal Phases and AdS Black Holes</a>"
      },
      "object_and_observable": {
        "text": "Hawking-Page transition; charged or rotating saddle; higher-derivative entropy",
        "html": "Hawking-Page transition; charged or rotating saddle; higher-derivative entropy"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare boundary topology and canonical ensemble; chemical potentials and regularity; covariant action and boundary terms; use the volume conventions unless the page states a local replacement.",
        "html": "Declare boundary topology and canonical ensemble; chemical potentials and regularity; covariant action and boundary terms; 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: ensemble and boundary data → Euclidean gravitational saddles → action, entropy, and charges → stability and finite-N checks → thermal phase claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: ensemble and boundary data → Euclidean gravitational saddles → action, entropy, and charges → stability and finite-N checks → thermal phase claim. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “renormalized free-energy crossing; first law and Hessian stability; Wald and Euclidean checks” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “renormalized free-energy crossing; first law and Hessian stability; Wald and Euclidean checks” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a sharp finite-N transition; global stability in every ensemble; microscopic state counting",
        "html": "a sharp finite-N transition; global stability in every ensemble; microscopic state counting"
      },
      "licensed_conclusion": {
        "text": "A holographic phase is an ensemble-specific saddle comparison; classical dominance does not determine exact finite-N spectra or recurrences.",
        "html": "A holographic phase is an ensemble-specific saddle comparison; classical dominance does not determine exact finite-N spectra or recurrences."
      }
    },
    {
      "domain_and_destination": {
        "text": "Lorentzian, Nonequilibrium, and Chaotic Holography",
        "html": "<a href=\"/holography-quantum-gravity/thermal-real-time-holography/\">Lorentzian, Nonequilibrium, and Chaotic Holography</a>"
      },
      "object_and_observable": {
        "text": "retarded response; quasinormal mode; scrambling or plateau",
        "html": "retarded response; quasinormal mode; scrambling or plateau"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare source convention and infalling condition; background, channel, and boundary condition; operator ordering, N, and time limits; use the volume conventions unless the page states a local replacement.",
        "html": "Declare source convention and infalling condition; background, channel, and boundary condition; operator ordering, N, and time limits; 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: real-time contour and state → Lorentzian bulk geometry → initial and horizon conditions → poles, response, and chaos tests → time-window conclusion. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: real-time contour and state → Lorentzian bulk geometry → initial and horizon conditions → poles, response, and chaos tests → time-window conclusion. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “flux and Kramers-Kronig checks; pole and convergence test; OTOC or spectral benchmark” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “flux and Kramers-Kronig checks; pole and convergence test; OTOC or spectral benchmark” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "all Schwinger-Keldysh correlators; nonlinear thermalization time; exact finite-N irreversibility",
        "html": "all Schwinger-Keldysh correlators; nonlinear thermalization time; exact finite-N irreversibility"
      },
      "licensed_conclusion": {
        "text": "Real-time holography depends on contour, state preparation, causal boundary conditions, and a declared time window; horizons do not fix exact late time.",
        "html": "Real-time holography depends on contour, state preparation, causal boundary conditions, and a declared time window; horizons do not fix exact late time."
      }
    },
    {
      "domain_and_destination": {
        "text": "Holographic Matter, Transport, and Model Building",
        "html": "<a href=\"/holography-quantum-gravity/holographic-matter-transport/\">Holographic Matter, Transport, and Model Building</a>"
      },
      "object_and_observable": {
        "text": "transport coefficient; infrared scaling phase; bottom-up model",
        "html": "transport coefficient; infrared scaling phase; bottom-up model"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare current normalization and Kubo limit; matter content and boundary conditions; operator map and parameter calibration; use the volume conventions unless the page states a local replacement.",
        "html": "Declare current normalization and Kubo limit; matter content and boundary conditions; operator map and parameter calibration; 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: bulk matter action and state → charged or scaling background → horizon and boundary response → transport and robustness tests → bounded mechanism claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: bulk matter action and state → charged or scaling background → horizon and boundary response → transport and robustness tests → bounded mechanism claim. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “Ward, positivity, and horizon checks; irrelevant-deformation stability; competing models and data residuals” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “Ward, positivity, and horizon checks; irrelevant-deformation stability; competing models and data residuals” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a universal material value; microscopic phase identification; top-down UV completion",
        "html": "a universal material value; microscopic phase identification; top-down UV completion"
      },
      "licensed_conclusion": {
        "text": "A holographic matter model can demonstrate a mechanism or universality class without identifying the microscopic theory of a material or plasma.",
        "html": "A holographic matter model can demonstrate a mechanism or universality class without identifying the microscopic theory of a material or plasma."
      }
    },
    {
      "domain_and_destination": {
        "text": "Bulk Reconstruction and Gravitational Dressing",
        "html": "<a href=\"/holography-quantum-gravity/bulk-reconstruction-locality/\">Bulk Reconstruction and Gravitational Dressing</a>"
      },
      "object_and_observable": {
        "text": "HKLL field; dressed observable; subregion reconstruction",
        "html": "HKLL field; dressed observable; subregion reconstruction"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare free equation, patch, and normalizable modes; anchoring and gauge convention; region, code sector, and norm; use the volume conventions unless the page states a local replacement.",
        "html": "Declare free equation, patch, and normalizable modes; anchoring and gauge convention; region, code sector, and 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: boundary region and algebra → bulk equation and smearing → interaction and gravitational dressing → causal and error checks → reconstructable observable. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: boundary region and algebra → bulk equation and smearing → interaction and gravitational dressing → causal and error checks → reconstructable observable. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “boundary limit and commutator check; Gauss-law and boundary-charge check; complement and overlap consistency” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “boundary limit and commutator check; Gauss-law and boundary-charge check; complement and overlap consistency” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "exact finite-N local operator; strict compact support; state-independent global locality",
        "html": "exact finite-N local operator; strict compact support; state-independent global locality"
      },
      "licensed_conclusion": {
        "text": "Bulk reconstruction is always relative to a region, algebra, dressing, state sector, perturbative order, and error notion.",
        "html": "Bulk reconstruction is always relative to a region, algebra, dressing, state sector, perturbative order, and error notion."
      }
    },
    {
      "domain_and_destination": {
        "text": "Holographic Entropy and Quantum Extremal Geometry",
        "html": "<a href=\"/holography-quantum-gravity/entanglement-emergent-geometry/\">Holographic Entropy and Quantum Extremal Geometry</a>"
      },
      "object_and_observable": {
        "text": "RT or HRT surface; FLM or QES; replica derivation",
        "html": "RT or HRT surface; FLM or QES; replica derivation"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare state, region, homology, and causal setting; bulk entropy scheme and Newton coupling; integer replicas and continuation rule; use the volume conventions unless the page states a local replacement.",
        "html": "Declare state, region, homology, and causal setting; bulk entropy scheme and Newton coupling; 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_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “maximin and competing-surface check; generalized-entropy extremization; cone regularity and saddle competition” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “maximin and competing-surface check; generalized-entropy extremization; cone regularity and saddle competition” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "exact finite-N entropy; microscopic factorization; unique nonperturbative continuation",
        "html": "exact finite-N entropy; microscopic factorization; unique nonperturbative continuation"
      },
      "licensed_conclusion": {
        "text": "RT, HRT, FLM, and QES are distinct prescriptions with different orders in gravity, saddle choices, and renormalization requirements.",
        "html": "RT, HRT, FLM, and QES are distinct prescriptions with different orders in gravity, saddle choices, and renormalization requirements."
      }
    },
    {
      "domain_and_destination": {
        "text": "Modular Response, Relative Entropy, and Emergent-Gravity Claims",
        "html": "<a href=\"/holography-quantum-gravity/modular-response-relative-entropy-and-emergent-gravity-claims/\">Modular Response, Relative Entropy, and Emergent-Gravity Claims</a>"
      },
      "object_and_observable": {
        "text": "entanglement first law; relative-entropy equality; field-equation inference",
        "html": "entanglement first law; relative-entropy equality; field-equation inference"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare reference state and modular operator; boundary and bulk algebras plus area term; all balls or shapes and local dynamics assumptions; use the volume conventions unless the page states a local replacement.",
        "html": "Declare reference state and modular operator; boundary and bulk algebras plus area term; all balls or shapes and local dynamics assumptions; 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 relative entropy → modular flow and first law → bulk canonical energy → positivity and shape checks → conditional gravity inference. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: boundary relative entropy → modular flow and first law → bulk canonical energy → positivity and shape checks → conditional gravity inference. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “linear-response identity; second-order positivity check; constraint and boundary-term check” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “linear-response identity; second-order positivity check; constraint and boundary-term check” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "nonlinear field equations; exact equality for all states; a unique quantum-gravity action",
        "html": "nonlinear field equations; exact equality for all states; a unique quantum-gravity action"
      },
      "licensed_conclusion": {
        "text": "Information identities constrain gravity only after the dictionary, code sector, semiclassical expansion, and boundary terms are fixed.",
        "html": "Information identities constrain gravity only after the dictionary, code sector, semiclassical expansion, and boundary terms are fixed."
      }
    },
    {
      "domain_and_destination": {
        "text": "Entanglement Wedges and Holographic Quantum Error Correction",
        "html": "<a href=\"/holography-quantum-gravity/entanglement-wedges-and-holographic-quantum-error-correction/\">Entanglement Wedges and Holographic Quantum Error Correction</a>"
      },
      "object_and_observable": {
        "text": "toy tensor code; semiclassical wedge; finite-N recovery",
        "html": "toy tensor code; semiclassical wedge; finite-N recovery"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare finite Hilbert spaces and exact isometry; code subspace, center, and area term; operator class and error norm; use the volume conventions unless the page states a local replacement.",
        "html": "Declare finite Hilbert spaces and exact isometry; code subspace, center, and area term; 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_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “erasure-recovery identity; relative entropy and complementary recovery; optimal recovery and complement test” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “erasure-recovery identity; relative entropy and complementary recovery; optimal recovery and complement test” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a theorem about gravity; exact finite-N isometry; consensus on a shared logical algebra",
        "html": "a theorem about gravity; exact finite-N isometry; consensus on a shared logical algebra"
      },
      "licensed_conclusion": {
        "text": "Exact toy-code recovery, leading semiclassical wedge reconstruction, and finite-N holographic QEC are different statements with different algebras and errors.",
        "html": "Exact toy-code recovery, leading semiclassical wedge reconstruction, and finite-N holographic QEC are different statements with different algebras and errors."
      }
    },
    {
      "domain_and_destination": {
        "text": "Holographic Complexity Proposals and Diagnostics",
        "html": "<a href=\"/holography-quantum-gravity/holographic-complexity-proposals-and-diagnostics/\">Holographic Complexity Proposals and Diagnostics</a>"
      },
      "object_and_observable": {
        "text": "complexity equals volume; complexity equals action; complexity bound",
        "html": "complexity equals volume; complexity equals action; complexity bound"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare slice, length scale, and subtraction; WdW patch and null-boundary terms; gate set or bulk prescription; use the volume conventions unless the page states a local replacement.",
        "html": "Declare slice, length scale, and subtraction; WdW patch and null-boundary terms; 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_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “late-growth and formation checks; joint, counterterm, and switchback check; counterexample and normalization test” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “late-growth and formation checks; joint, counterterm, and switchback check; counterexample and normalization test” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "the same observable as action; scheme-independent complexity; a universal operational theorem",
        "html": "the same observable as action; scheme-independent complexity; a universal operational theorem"
      },
      "licensed_conclusion": {
        "text": "CV, CA, path-integral, and tensor-network prescriptions are inequivalent conjectures whose divergences and operational meaning must be compared.",
        "html": "CV, CA, path-integral, and tensor-network prescriptions are inequivalent conjectures whose divergences and operational meaning must be compared."
      }
    },
    {
      "domain_and_destination": {
        "text": "AdS3/CFT2 and Three-Dimensional Gravity",
        "html": "<a href=\"/holography-quantum-gravity/low-dimensional-holography/\">AdS3/CFT2 and Three-Dimensional Gravity</a>"
      },
      "object_and_observable": {
        "text": "Brown-Henneaux symmetry; BTZ saddle; pure gravity proposal",
        "html": "Brown-Henneaux symmetry; BTZ saddle; pure gravity proposal"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare boundary falloffs and charge normalization; ensemble, identifications, and spin; spectrum, topology sum, and global form; use the volume conventions unless the page states a local replacement.",
        "html": "Declare boundary falloffs and charge normalization; ensemble, identifications, and spin; spectrum, topology sum, and global form; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Proposal or conditional construction. Control chain: CFT2 and global data → AdS3 boundary conditions → Virasoro or Chern-Simons structure → BTZ and modular checks → three-dimensional gravity claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Proposal or conditional construction. Control chain: CFT2 and global data → AdS3 boundary conditions → Virasoro or Chern-Simons structure → BTZ and modular checks → three-dimensional gravity claim. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “central extension and integrability; thermodynamic and modular check; unitarity and modular consistency” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “central extension and integrability; thermodynamic and modular check; unitarity and modular consistency” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a complete Hilbert space; all heavy CFT states are BTZ geometries; established nonperturbative theory",
        "html": "a complete Hilbert space; all heavy CFT states are BTZ geometries; established nonperturbative theory"
      },
      "licensed_conclusion": {
        "text": "AdS3/CFT2 combines unusually strong symmetry with global and spectral subtleties; BTZ control does not settle pure quantum gravity.",
        "html": "AdS3/CFT2 combines unusually strong symmetry with global and spectral subtleties; BTZ control does not settle pure quantum gravity."
      }
    },
    {
      "domain_and_destination": {
        "text": "AdS2, JT Gravity, SYK, and Random Matrices",
        "html": "<a href=\"/holography-quantum-gravity/ads2-jt-gravity-syk-and-random-matrices/\">AdS2, JT Gravity, SYK, and Random Matrices</a>"
      },
      "object_and_observable": {
        "text": "Schwarzian mode; SYK interface; matrix completion",
        "html": "Schwarzian mode; SYK interface; matrix completion"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare near-AdS2 boundary condition and coupling; disorder, large N, and conformal window; ensemble and spectral density; use the volume conventions unless the page states a local replacement.",
        "html": "Declare near-AdS2 boundary condition and coupling; disorder, large N, and conformal window; ensemble and spectral density; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Proposal or conditional construction. Control chain: near-AdS2 boundary data → JT and Schwarzian mode → SYK low-energy matching → topology and matrix ensemble → model-specific conclusion. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Proposal or conditional construction. Control chain: near-AdS2 boundary data → JT and Schwarzian mode → SYK low-energy matching → topology and matrix ensemble → model-specific conclusion. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “thermodynamic and correlator check; bilocal saddle and soft-mode matching; genus and late-time comparison” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “thermodynamic and correlator check; bilocal saddle and soft-mode matching; genus and late-time comparison” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "complete bulk spectrum; unique duality to JT gravity; the unique fixed Hamiltonian",
        "html": "complete bulk spectrum; unique duality to JT gravity; the unique fixed Hamiltonian"
      },
      "licensed_conclusion": {
        "text": "JT, Schwarzian dynamics, SYK, and random matrices overlap in controlled limits but do not provide one unique fixed-theory completion.",
        "html": "JT, Schwarzian dynamics, SYK, and random matrices overlap in controlled limits but do not provide one unique fixed-theory completion."
      }
    },
    {
      "domain_and_destination": {
        "text": "Black-Hole Microstates and Stringy Entropy",
        "html": "<a href=\"/holography-quantum-gravity/black-hole-microstates-and-stringy-entropy/\">Black-Hole Microstates and Stringy Entropy</a>"
      },
      "object_and_observable": {
        "text": "BPS index; brane microstate count; microstate geometry",
        "html": "BPS index; brane microstate count; microstate geometry"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare charges, chamber, and fermion signs; decoupling limit and charge map; smooth solution family and quantization; use the volume conventions unless the page states a local replacement.",
        "html": "Declare charges, chamber, and fermion signs; decoupling limit and charge map; 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_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “wall-crossing and growth check; Cardy or localization comparison; charge, moduli, and measure test” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “wall-crossing and growth check; Cardy or localization comparison; charge, moduli, and measure test” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "actual degeneracy in every regime; typical non-BPS geometry; enumeration of the full Hilbert space",
        "html": "actual degeneracy in every regime; typical non-BPS geometry; enumeration of the full Hilbert space"
      },
      "licensed_conclusion": {
        "text": "Protected indices, actual degeneracies, typical states, and non-BPS microstates must remain distinct when compared with black-hole entropy.",
        "html": "Protected indices, actual degeneracies, typical states, and non-BPS microstates must remain distinct when compared with black-hole entropy."
      }
    },
    {
      "domain_and_destination": {
        "text": "Wormholes, Gravitational Path Integrals, and Ensembles",
        "html": "<a href=\"/holography-quantum-gravity/wormholes-gravitational-path-integrals-and-ensembles/\">Wormholes, Gravitational Path Integrals, and Ensembles</a>"
      },
      "object_and_observable": {
        "text": "Euclidean wormhole; replica wormhole; factorization statement",
        "html": "Euclidean wormhole; replica wormhole; factorization statement"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare boundary data, measure, and cycle; replica boundary conditions and continuation; fixed theory, ensemble, or alpha sector; use the volume conventions unless the page states a local replacement.",
        "html": "Declare boundary data, measure, and cycle; replica boundary conditions and continuation; 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_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “negative-mode and steepest-descent check; saddle competition and entropy check; multi-boundary connectedness test” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “negative-mode and steepest-descent check; saddle competition and entropy check; multi-boundary connectedness test” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a convergent gravitational path integral; microscopic evaporation dynamics; automatic ensemble averaging",
        "html": "a convergent gravitational path integral; microscopic evaporation dynamics; automatic ensemble averaging"
      },
      "licensed_conclusion": {
        "text": "A wormhole contribution is defined only with a contour and theory; connected boundaries do not by themselves establish an ensemble or a fixed-theory completion.",
        "html": "A wormhole contribution is defined only with a contour and theory; connected boundaries do not by themselves establish an ensemble or a fixed-theory completion."
      }
    },
    {
      "domain_and_destination": {
        "text": "Black-Hole Information, Islands, and Interiors",
        "html": "<a href=\"/holography-quantum-gravity/black-hole-information/\">Black-Hole Information, Islands, and Interiors</a>"
      },
      "object_and_observable": {
        "text": "Page curve; island saddle; interior reconstruction",
        "html": "Page curve; island saddle; interior reconstruction"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare unitary benchmark and radiation factorization; bath coupling, QES functional, and replicas; code sector, state dependence, and algebra; use the volume conventions unless the page states a local replacement.",
        "html": "Declare unitary benchmark and radiation factorization; bath coupling, QES functional, and replicas; code sector, state dependence, and algebra; 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: evaporation model and radiation algebra → replicas and generalized entropy → island and wedge selection → Page, decoding, and interior tests → microscopic ceiling. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: evaporation model and radiation algebra → replicas and generalized entropy → island and wedge selection → Page, decoding, and interior tests → microscopic ceiling. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “early- and late-time entropy check; competing-saddle and renormalization test; overlap, commutator, and decoding tests” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “early- and late-time entropy check; competing-saddle and renormalization test; overlap, commutator, and decoding tests” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a microscopic S-matrix; unique nonperturbative completion; observer-independent exact local operators",
        "html": "a microscopic S-matrix; unique nonperturbative completion; observer-independent exact local operators"
      },
      "licensed_conclusion": {
        "text": "Islands can produce semiclassical Page curves and radiation wedges without supplying microscopic evaporation dynamics, decoding, interiors, or endpoints.",
        "html": "Islands can produce semiclassical Page curves and radiation wedges without supplying microscopic evaporation dynamics, decoding, interiors, or endpoints."
      }
    },
    {
      "domain_and_destination": {
        "text": "Higher-Spin and Vector-Model Holography",
        "html": "<a href=\"/holography-quantum-gravity/higher-spin-and-vector-model-holography/\">Higher-Spin and Vector-Model Holography</a>"
      },
      "object_and_observable": {
        "text": "higher-spin dictionary; alternate boundary condition; symmetry breaking",
        "html": "higher-spin dictionary; alternate boundary condition; symmetry breaking"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare boundary model, parity phase, and global data; scalar branch and double-trace flow; coupling and anomalous dimensions; use the volume conventions unless the page states a local replacement.",
        "html": "Declare boundary model, parity phase, and global data; scalar branch and double-trace flow; coupling and anomalous dimensions; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Dictionary entry or correspondence claim. Control chain: vector-model large-N data → higher-spin algebra and fields → boundary conditions and correlators → breaking and tensionless tests → non-Einstein bulk regime. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Dictionary entry or correspondence claim. Control chain: vector-model large-N data → higher-spin algebra and fields → boundary conditions and correlators → breaking and tensionless tests → non-Einstein bulk regime. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “three-point and Ward-identity tests; critical/free endpoint comparison; gap and locality diagnostics” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “three-point and Ward-identity tests; critical/free endpoint comparison; gap and locality diagnostics” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "local Einstein gravity; unchanged bulk theory at all orders; automatic string completion",
        "html": "local Einstein gravity; unchanged bulk theory at all orders; automatic string completion"
      },
      "licensed_conclusion": {
        "text": "Higher-spin/vector-model dualities define controlled non-Einstein regimes; restoring a large higher-spin gap is a separate dynamical problem.",
        "html": "Higher-spin/vector-model dualities define controlled non-Einstein regimes; restoring a large higher-spin gap is a separate dynamical problem."
      }
    },
    {
      "domain_and_destination": {
        "text": "de Sitter and Cosmological Holography",
        "html": "<a href=\"/holography-quantum-gravity/de-sitter-and-cosmological-holography/\">de Sitter and Cosmological Holography</a>"
      },
      "object_and_observable": {
        "text": "late-time wavefunction; in-in correlator; static-patch proposal",
        "html": "late-time wavefunction; in-in correlator; static-patch proposal"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare state, boundary data, and phase convention; closed-time contour and operator ordering; observer algebra and horizon state; use the volume conventions unless the page states a local replacement.",
        "html": "Declare state, boundary data, and phase convention; closed-time contour and operator ordering; observer algebra and horizon state; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Proposal or conditional construction. Control chain: de Sitter state and observer patch → wavefunction or in-in observable → analytic continuation and dictionary → entropy and static-patch tests → proposal status. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Proposal or conditional construction. Control chain: de Sitter state and observer patch → wavefunction or in-in observable → analytic continuation and dictionary → entropy and static-patch tests → proposal status. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “Ward and analytic-continuation check; reality and cutting checks; entropy and finite-system consistency” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “Ward and analytic-continuation check; reality and cutting checks; entropy and finite-system consistency” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "ordinary Euclidean CFT probabilities; the same object as a wavefunction coefficient; complete global de Sitter holography",
        "html": "ordinary Euclidean CFT probabilities; the same object as a wavefunction coefficient; complete global de Sitter holography"
      },
      "licensed_conclusion": {
        "text": "Late-time wavefunctions, in-in correlators, and static-patch observables are different objects; no single continuation supplies a complete de Sitter dual.",
        "html": "Late-time wavefunctions, in-in correlators, and static-patch observables are different objects; no single continuation supplies a complete de Sitter dual."
      }
    },
    {
      "domain_and_destination": {
        "text": "Flat-Space, BMS, and Celestial Holography",
        "html": "<a href=\"/holography-quantum-gravity/flat-space-bms-and-celestial-holography/\">Flat-Space, BMS, and Celestial Holography</a>"
      },
      "object_and_observable": {
        "text": "asymptotic symmetry; celestial transform; celestial OPE",
        "html": "asymptotic symmetry; celestial transform; celestial OPE"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare falloffs, charges, and phase space; basis, contour, and infrared dressing; operator basis, loop order, and regulator; use the volume conventions unless the page states a local replacement.",
        "html": "Declare falloffs, charges, and phase space; basis, contour, and infrared dressing; operator basis, loop order, and regulator; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Proposal or conditional construction. Control chain: null-infinity states and data → BMS, soft, and dressing sectors → celestial transform and OPE → loop, unitarity, and completeness tests → flat-holography status. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Proposal or conditional construction. Control chain: null-infinity states and data → BMS, soft, and dressing sectors → celestial transform and OPE → loop, unitarity, and completeness tests → flat-holography status. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “soft theorem and memory triangle; inverse transform and covariance; factorization and unitarity checks” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “soft theorem and memory triangle; inverse transform and covariance; factorization and unitarity checks” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a complete holographic dual; a standalone local CFT; nonperturbative completeness",
        "html": "a complete holographic dual; a standalone local CFT; nonperturbative completeness"
      },
      "licensed_conclusion": {
        "text": "A flat-space S-matrix, its celestial transform, BMS charges, and a complete celestial dual are distinct layers of a proposed dictionary.",
        "html": "A flat-space S-matrix, its celestial transform, BMS charges, and a complete celestial dual are distinct layers of a proposed dictionary."
      }
    },
    {
      "domain_and_destination": {
        "text": "Quantum-Gravity Consistency and Swampland",
        "html": "<a href=\"/holography-quantum-gravity/quantum-gravity-consistency-and-swampland/\">Quantum-Gravity Consistency and Swampland</a>"
      },
      "object_and_observable": {
        "text": "no global symmetry; weak gravity or distance conjecture; de Sitter or landscape claim",
        "html": "no global symmetry; weak gravity or distance conjecture; de Sitter or landscape claim"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare exact AdS/CFT or other stated premise; charge normalization or moduli metric; compactification and EFT assumptions; use the volume conventions unless the page states a local replacement.",
        "html": "Declare exact AdS/CFT or other stated premise; charge normalization or moduli metric; compactification and EFT assumptions; use the volume conventions unless the page states a local replacement."
      },
      "approximation_status_and_evidence_timing": {
        "text": "Named conjecture under stated hypotheses. Control chain: quantum-gravity premise and black holes → charge, tower, and moduli constraints → examples and conditional derivations → counterexamples and dated tests → typed consistency claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Named conjecture under stated hypotheses. Control chain: quantum-gravity premise and black holes → charge, tower, and moduli constraints → examples and conditional derivations → counterexamples and dated tests → typed consistency claim. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “boundary current and bulk gauge check; extremality, towers, and examples; controlled examples and counterexamples” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “boundary current and bulk gauge check; extremality, towers, and examples; controlled examples and counterexamples” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "an assumption-free theorem about all gravity; a proven universal inequality; settled absence of all vacua",
        "html": "an assumption-free theorem about all gravity; a proven universal inequality; settled absence of all vacua"
      },
      "licensed_conclusion": {
        "text": "No-global-symmetry results and swampland conjectures have different hypotheses and evidence; examples do not erase counterexamples or dates.",
        "html": "No-global-symmetry results and swampland conjectures have different hypotheses and evidence; examples do not erase counterexamples or dates."
      }
    },
    {
      "domain_and_destination": {
        "text": "Canonical, Loop, Spin-Foam, and Group-Field Quantum Gravity",
        "html": "<a href=\"/holography-quantum-gravity/canonical-loop-spin-foam-and-group-field-quantum-gravity/\">Canonical, Loop, Spin-Foam, and Group-Field Quantum Gravity</a>"
      },
      "object_and_observable": {
        "text": "area or volume spectrum; spin-foam amplitude; semiclassical recovery",
        "html": "area or volume spectrum; spin-foam amplitude; semiclassical recovery"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare kinematical Hilbert space and operator choice; boundary state, model, and refinement; state family and coarse graining; use the volume conventions unless the page states a local replacement.",
        "html": "Declare kinematical Hilbert space and operator choice; boundary state, model, and refinement; state family and coarse graining; 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: constrained phase space → connections and spin networks → Hamiltonian, foam, or group-field dynamics → continuum and semiclassical tests → physical-observable claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: constrained phase space → connections and spin networks → Hamiltonian, foam, or group-field dynamics → continuum and semiclassical tests → physical-observable claim. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “gauge and diffeomorphism treatment; simplicity, asymptotic, and anomaly checks; Einstein limit and fluctuation scaling” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “gauge and diffeomorphism treatment; simplicity, asymptotic, and anomaly checks; Einstein limit and fluctuation scaling” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "physical measurable discreteness; established continuum dynamics; full low-energy phenomenology",
        "html": "physical measurable discreteness; established continuum dynamics; full low-energy phenomenology"
      },
      "licensed_conclusion": {
        "text": "Kinematical discreteness, constraint solutions, spin-foam amplitudes, continuum limits, and classical recovery are separate achievements.",
        "html": "Kinematical discreteness, constraint solutions, spin-foam amplitudes, continuum limits, and classical recovery are separate achievements."
      }
    },
    {
      "domain_and_destination": {
        "text": "Asymptotic Safety, Causal, and Discrete Quantum-Gravity Programs",
        "html": "<a href=\"/holography-quantum-gravity/asymptotic-safety-causal-and-discrete-quantum-gravity-programs/\">Asymptotic Safety, Causal, and Discrete Quantum-Gravity Programs</a>"
      },
      "object_and_observable": {
        "text": "asymptotic-safety fixed point; triangulation or causal-set limit; spectral dimension flow",
        "html": "asymptotic-safety fixed point; triangulation or causal-set limit; spectral dimension flow"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare effective action, gauge, regulator, and truncation; ensemble, measure, and refinement rule; diffusion operator and averaging; use the volume conventions unless the page states a local replacement.",
        "html": "Declare effective action, gauge, regulator, and truncation; ensemble, measure, and refinement rule; diffusion operator and averaging; 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: RG or discrete defining data → regulator, truncation, or refinement → continuum scaling observables → unitarity and causality tests → UV-completion claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: RG or discrete defining data → regulator, truncation, or refinement → continuum scaling observables → unitarity and causality tests → UV-completion claim. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “critical-exponent and truncation stability; finite-size scaling and observable recovery; scale and discretization stability” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “critical-exponent and truncation stability; finite-size scaling and observable recovery; scale and discretization stability” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a proven UV completion; Einstein gravity in all observables; physical spacetime dimension by itself",
        "html": "a proven UV completion; Einstein gravity in all observables; physical spacetime dimension by itself"
      },
      "licensed_conclusion": {
        "text": "A fixed point in a truncation or a continuum-looking phase in a discrete model is evidence that requires regulator, convergence, and unitarity control.",
        "html": "A fixed point in a truncation or a continuum-looking phase in a discrete model is evidence that requires regulator, convergence, and unitarity control."
      }
    },
    {
      "domain_and_destination": {
        "text": "Quantum Cosmology and Singularity-Resolution Programs",
        "html": "<a href=\"/holography-quantum-gravity/quantum-cosmology-and-singularity-resolution-programs/\">Quantum Cosmology and Singularity-Resolution Programs</a>"
      },
      "object_and_observable": {
        "text": "Wheeler-DeWitt solution; loop-cosmology bounce; singularity resolution",
        "html": "Wheeler-DeWitt solution; loop-cosmology bounce; singularity resolution"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare inner product, boundary condition, and clock; difference equation and effective regime; operational criterion and observable; use the volume conventions unless the page states a local replacement.",
        "html": "Declare inner product, boundary condition, and clock; difference equation and effective regime; operational criterion and observable; 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: cosmological state and constraint → clock and boundary condition → minisuperspace or effective dynamics → decoherence and full-theory tests → qualified resolution claim. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: cosmological state and constraint → clock and boundary condition → minisuperspace or effective dynamics → decoherence and full-theory tests → qualified resolution claim. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “constraint and probability-current check; density bound and state-spread check; BKL, perturbation, and extension tests” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “constraint and probability-current check; density bound and state-spread check; BKL, perturbation, and extension tests” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "a unique cosmological prediction; resolution in the full inhomogeneous theory; all notions of singularity are removed",
        "html": "a unique cosmological prediction; resolution in the full inhomogeneous theory; all notions of singularity are removed"
      },
      "licensed_conclusion": {
        "text": "A wavefunction, effective bounce, bounded variable, geodesic extension, and full singularity resolution are different claims.",
        "html": "A wavefunction, effective bounce, bounded variable, geodesic extension, and full singularity resolution are different claims."
      }
    },
    {
      "domain_and_destination": {
        "text": "Quantum-Gravity Phenomenology and Comparative Status",
        "html": "<a href=\"/holography-quantum-gravity/quantum-gravity-phenomenology-and-comparative-status/\">Quantum-Gravity Phenomenology and Comparative Status</a>"
      },
      "object_and_observable": {
        "text": "modified propagation; gravity-mediated entanglement; compact-object or cosmological signal",
        "html": "modified propagation; gravity-mediated entanglement; compact-object or cosmological signal"
      },
      "state_ensemble_and_conventions": {
        "text": "Declare EFT operator, source model, and distance; locality, mediation, and noise assumptions; waveform or primordial model and nuisance priors; use the volume conventions unless the page states a local replacement.",
        "html": "Declare EFT operator, source model, and distance; locality, mediation, and noise assumptions; waveform or primordial model and nuisance priors; 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: mechanism and detector observable → data and nuisance model → likelihood and systematics → competing explanations → bound, anomaly, or detection. Sources are cited on the destination page; literature checked through 10 August 2026.",
        "html": "Model-specific calculation or conditional result. Control chain: mechanism and detector observable → data and nuisance model → likelihood and systematics → competing explanations → bound, anomaly, or detection. Sources are cited on the destination page; literature checked through 10 August 2026."
      },
      "uncertainty_counterevidence_and_falsifier": {
        "text": "Track omitted corrections, alternate branches, and competing definitions. A failed “multi-energy and multi-source likelihood; classical-channel and decoherence controls; cross-channel and population tests” check is counterevidence to the promoted claim.",
        "html": "Track omitted corrections, alternate branches, and competing definitions. A failed “multi-energy and multi-source likelihood; classical-channel and decoherence controls; cross-channel and population tests” check is counterevidence to the promoted claim."
      },
      "failure_condition": {
        "text": "evidence for one UV completion; selection of a quantum-gravity program; confirmed quantum gravity without alternatives",
        "html": "evidence for one UV completion; selection of a quantum-gravity program; confirmed quantum gravity without alternatives"
      },
      "licensed_conclusion": {
        "text": "Quantum-gravity phenomenology begins with a mechanism and likelihood; sensitivity, bounds, anomalies, and detections have sharply different meanings.",
        "html": "Quantum-gravity phenomenology begins with a mechanism and likelihood; sensitivity, bounds, anomalies, and detections have sharply different meanings."
      }
    }
  ],
  "scope": "Exact structured equivalent of the reader-facing semantic table; column order, cell text, and source HTML are preserved."
}