Universal Information Hydrodynamics Ontology
type: Ontology
version info: 0.2
creator: J. R. Dunkley
date: 2025-12-09
imports: terms
imports: bibo
imports: prov-o#
imports: http://xmlns.com/foaf/0.1/
imports: core#
comment: Core ontology for the Universal Information Hydrodynamics (UIH) programme, unifying K = G + J flows, intrinsic Fisher-Kahler information geometry, operator sector, scalar Fisher halos and hypocoercive renormalisation.

symbol
type: DatatypeProperty
domain: UIHConcept
range: string
comment: Canonical symbol name for a UIH concept, such as K, G, J, sigma_halo.

latexSymbol
type: DatatypeProperty
domain: UIHConcept
range: string
comment: LaTeX form of a concept symbol.

definedInSection
type: AnnotationProperty
comment: Section identifier (human readable) in the primary paper where this concept is defined.

relatedEquationLabel
type: AnnotationProperty
comment: LaTeX equation labels in the source papers associated with this concept.

belongsToPaper
type: AnnotationProperty
comment: Primary paper in which this concept receives its first full definition.

hasUnits
type: DatatypeProperty
domain: UIHConcept
range: string
comment: Human readable units string for a quantity, such as 1/time or dimensionless.

importanceLevel
type: DatatypeProperty
domain: UIHConcept
range: string
comment: Qualitative importance level of a UIH concept within the programme, such as core, major, or supporting.

numericValue
type: DatatypeProperty
domain: ScalarQuantity
range: double
comment: Numeric value of a scalar quantity.

gapValue
type: DatatypeProperty
sub property of: numericValue
domain: FisherGap
range: double
comment: Numeric Fisher gap value for a slow block.

hypocoerciveRateValue
type: DatatypeProperty
sub property of: numericValue
domain: HypocoerciveRate
range: double
comment: Numeric hypocoercive decay rate for a slow block.

hypocoerciveIndexValue
type: DatatypeProperty
sub property of: numericValue
domain: Hypocoercive index
range: double
comment: Numeric hypocoercive index r for a slow block.

hasWikidataItem
type: DatatypeProperty
range: string
comment: String value of an associated Wikidata Q identifier, such as Q136913087.

hasZenodoRecord
type: DatatypeProperty
domain: UIHArtefact
range: string
comment: Zenodo record identifier or DOI for an artefact.

hasStateSpace
type: ObjectProperty
type: FunctionalProperty
domain: UIH generator
range: UIHStateSpace
comment: State space on which a UIH generator K acts.

hasSymmetricPart
type: ObjectProperty
type: FunctionalProperty
domain: UIH generator
range: FisherOperator
comment: Symmetric part G of the generator K = G + J.

hasSkewPart
type: ObjectProperty
type: FunctionalProperty
domain: UIH generator
range: SkewOperator
comment: Skew part J of the generator K = G + J.

inducesFisherMetric
type: ObjectProperty
type: FunctionalProperty
domain: FisherOperator
range: FisherInformationMetric
comment: Fisher information metric induced by a Fisher operator G on a state space.

drivesGradientFlowOf
type: ObjectProperty
domain: FisherOperator
range: FreeEnergyFunctional
comment: Free energy functional whose gradient flow in the Fisher metric is generated by G.

generatesFlow
type: ObjectProperty
domain: UIH generator
range: UIHFlow
comment: Flow of states generated by a UIH generator K.

actsOnStateSpace
type: ObjectProperty
domain: UIHFlow
range: UIHStateSpace
comment: State space on which a given UIH flow acts.

hasGenerator
type: ObjectProperty
type: FunctionalProperty
range: UIH generator
comment: Generator K of a UIH flow or of a UIH system.

hasReversibleProjection
type: ObjectProperty
type: FunctionalProperty
domain: UniversalKFlow
range: MadelungKFlow
comment: Reversible Madelung projection of the universal K flow.

hasMetriplecticProjection
type: ObjectProperty
type: FunctionalProperty
domain: UniversalKFlow
range: MetriplecticKFlow
comment: Metriplectic projection of the universal K flow.

hasOperatorProjection
type: ObjectProperty
type: FunctionalProperty
domain: UniversalKFlow
range: DensitySectorKFlow
comment: Operator and density sector projection of the universal K flow.

hasScalarGravityProjection
type: ObjectProperty
type: FunctionalProperty
domain: UniversalKFlow
range: ScalarGravityKFlow
comment: Scalar gravity projection of the universal K flow.

belongsToSector
type: ObjectProperty
domain: UIHConcept
range: UIHSector
comment: Marks the primary UIH sector (geometry, operator, gravity, RG, experiments) to which a concept belongs.

hasWeightedHMinusOneGeometry
type: ObjectProperty
type: FunctionalProperty
domain: FisherOperator
range: WeightedHMinusOneGeometry
comment: Weighted H^{-1} geometry associated with a Fisher operator G.

hasMetriplecticStructure
type: ObjectProperty
type: FunctionalProperty
domain: UIH generator
range: MetriplecticStructure
comment: Metriplectic structure (G, J, F) associated with a UIH generator.

hasEntropyClock
type: ObjectProperty
type: FunctionalProperty
range: EntropyClock
comment: Entropy clock associated with a generator or slow block.

hasEntropyProductionRate
type: ObjectProperty
domain: UIHFlow
range: EntropyProductionRate
comment: Entropy production rate associated with a given UIH flow.

hasDensitySectorGenerator
type: ObjectProperty
type: FunctionalProperty
domain: GKLSSystem
range: DensitySectorGenerator
comment: Real density sector generator associated with a GKLS system.

hasBKMMetric
type: ObjectProperty
type: FunctionalProperty
domain: GKLSSystem
range: BKMMetric
comment: Bogoliubov Kubo Mori metric for a GKLS system.

hasComplexStructure
type: ObjectProperty
type: FunctionalProperty
domain: UIHStateSpace
range: ComplexStructure
comment: Complex structure on the active mode manifold of a UIH state space.

hasSymplecticForm
type: ObjectProperty
type: FunctionalProperty
domain: UIHStateSpace
range: SymplecticForm
comment: Symplectic form on the active mode manifold of a UIH state space.

formsKahlerTriple
type: ObjectProperty
type: FunctionalProperty
domain: UIHStateSpace
range: KahlerTriple
comment: Kahler triple (g, Omega, I) on the active modes of a UIH state space.

hasFisherStructure
type: ObjectProperty
type: FunctionalProperty
domain: UIHStateSpace
range: FisherStructure
comment: Intrinsic Fisher structure B on a UIH state space, defined by metric and symplectic form.

untwistsToKahlerTriple
type: ObjectProperty
type: FunctionalProperty
domain: FisherStructure
range: KahlerTriple
comment: Kahler triple obtained by untwisting a neutral Fisher structure on the active modes.

hasInformationCurrent
type: ObjectProperty
type: FunctionalProperty
domain: UIH generator
range: InformationCurrent
comment: Information current associated with a UIH generator K in the Fisher-Kahler geometry.

realisedOnDevice
type: ObjectProperty
domain: UIHSystem
range: QuantumDevice
comment: Quantum device on which a UIH system is realised.

wasReconstructedOnDevice
type: ObjectProperty
domain: UIH generator
range: QuantumDevice
comment: Quantum device on which a generator was reconstructed via tomography.

isReconstructionOf
type: ObjectProperty
domain: UIH generator
range: UIH generator
comment: Noisy reconstructed generator is a reconstruction of an ideal generator.

hasSpectrometer
type: ObjectProperty
domain: UIHSystem
range: UIHOperatorSpectrometer
comment: Universality spectrometer associated with a UIH system.

hasBaryonicDensity
type: ObjectProperty
type: FunctionalProperty
domain: BaryonicSystem
range: BaryonicDensityField
comment: Baryonic density field associated with a baryonic system.

hasPotentialField
type: ObjectProperty
type: FunctionalProperty
domain: BaryonicSystem
range: PotentialField
comment: Newtonian potential field associated with a baryonic system.

hasScalarSector
type: ObjectProperty
type: FunctionalProperty
range: ScalarFisherSector
comment: Scalar Fisher sector associated with a system or generator.

hasHaloProfile
type: ObjectProperty
type: FunctionalProperty
domain: GalaxyDiscSystem
range: FisherScalarHalo
comment: Fisher scalar halo profile for a galaxy disc system.

hasDiscFisherGeometry
type: ObjectProperty
type: FunctionalProperty
domain: GalaxyDiscSystem
range: DiscFisherGeometry
comment: Disc Fisher geometry associated with a galaxy disc system.

hasRunningFisherCoupling
type: ObjectProperty
type: FunctionalProperty
range: RunningFisherCoupling
comment: Running Fisher coupling profile alpha(r) for a disc geometry or scalar sector.

hasScalarAction
type: ObjectProperty
type: FunctionalProperty
domain: ScalarFisherSector
range: ScalarActionFunctional
comment: Scalar action functional associated with a scalar Fisher sector.

hasBogomolnyDecomposition
type: ObjectProperty
type: FunctionalProperty
domain: ScalarActionFunctional
range: BogomolnyDecomposition
comment: Bogomolny decomposition associated with a scalar action functional.

hasBPSSolutionManifold
type: ObjectProperty
type: FunctionalProperty
domain: ScalarActionFunctional
range: BPSSolutionManifold
comment: BPS solution manifold associated with a scalar action.

memberOfBPSSolutionManifold
type: ObjectProperty
domain: FisherScalarHalo
range: BPSSolutionManifold
comment: Halo that lies on a BPS solution manifold for a given baryonic load.

hasBPSSaturationParameter
type: ObjectProperty
type: FunctionalProperty
domain: GalaxyDiscSystem
range: BPSSaturationParameter
comment: BPS saturation parameter associated with a galaxy disc system.

hasUnderlyingFisherOperator
type: ObjectProperty
type: FunctionalProperty
domain: DiscFisherGeometry
range: FisherOperator
comment: Fisher operator underlying a disc Fisher geometry.

underliesDiscGeometry
type: ObjectProperty
domain: FisherOperator
range: DiscFisherGeometry
comment: Disc Fisher geometry underlain by a given Fisher operator.

hasFisherTemperature
type: ObjectProperty
type: FunctionalProperty
domain: GalaxyDiscSystem
range: FisherTemperature
comment: Fisher temperature or inverse temperature parameter controlling halo phase structure for a galaxy disc system.

hasFisherSusceptibility
type: ObjectProperty
type: FunctionalProperty
domain: GalaxyDiscSystem
range: FisherSusceptibility
comment: Fisher susceptibility or heat capacity-like response parameter C for a galaxy disc system.

hasFisherSpectrometer
type: ObjectProperty
type: FunctionalProperty
domain: GalaxyDiscSystem
range: FisherGalaxySpectrometer
comment: Fisher spectrometer constructed from the second variation of the scalar free energy for a galaxy.

hasSlowBlock
type: ObjectProperty
domain: UIH generator
range: SlowBlock
comment: Slow block associated with a UIH generator.

hasFisherGap
type: ObjectProperty
type: FunctionalProperty
domain: SlowBlock
range: FisherGap
comment: Fisher gap associated with a slow block.

hasHypocoerciveRate
type: ObjectProperty
type: FunctionalProperty
domain: SlowBlock
range: HypocoerciveRate
comment: Hypocoercive decay rate associated with a slow block.

hasHypocoerciveIndex
type: ObjectProperty
type: FunctionalProperty
domain: SlowBlock
range: Hypocoercive index
comment: Hypocoercive index r associated with a slow block.

hasRGMap
type: ObjectProperty
domain: UIH generator
range: RGMap
comment: RG map associated with a UIH generator.

actsOnSlowBlock
type: ObjectProperty
domain: RGMap
range: SlowBlock
comment: Slow block a renormalisation map acts on.

hasRGLevel
type: ObjectProperty
type: FunctionalProperty
domain: SlowBlock
range: RGLevel
comment: RG level label associated with a slow block.

nextLevel
type: ObjectProperty
type: FunctionalProperty
domain: RGLevel
range: RGLevel
comment: Immediate next RG level in a discrete RG hierarchy.

hasRGFlow
type: ObjectProperty
range: RGFlow
comment: RG flow associated with a generator or slow block.

hasInitialBlock
type: ObjectProperty
type: FunctionalProperty
domain: RGFlow
range: SlowBlock
comment: Initial slow block of an RG flow.

hasFinalBlock
type: ObjectProperty
type: FunctionalProperty
domain: RGFlow
range: SlowBlock
comment: Final slow block considered in an RG flow.

realisedByBlocks
type: ObjectProperty
domain: RGFlow
range: SlowBlock
comment: Slow blocks that participate in an RG flow.

hasUIHFingerprint
type: ObjectProperty
type: FunctionalProperty
domain: SlowBlock
range: UIHFingerprint
comment: UIH fingerprint associated with a slow block.

fingerprintHasFisherGap
type: ObjectProperty
type: FunctionalProperty
domain: UIHFingerprint
range: FisherGap
comment: Fisher gap component of a UIH fingerprint.

fingerprintHasHypocoerciveIndex
type: ObjectProperty
type: FunctionalProperty
domain: UIHFingerprint
range: Hypocoercive index
comment: Hypocoercive index component of a UIH fingerprint.

fingerprintHasCurvatureScale
type: ObjectProperty
domain: UIHFingerprint
range: ScalarQuantity
comment: Curvature or Fisher scale component of a UIH fingerprint.

belongsToUniversalityClass
type: ObjectProperty
domain: SlowBlock
range: UIHUniversalityClass
comment: Universality class a slow block belongs to.

characterisedByFingerprint
type: ObjectProperty
domain: UIHUniversalityClass
range: UIHFingerprint
comment: Canonical fingerprint that characterises a universality class.

flowsToAttractorClass
type: ObjectProperty
domain: RGFlow
range: UIHAttractorClass
comment: Attractor class approached by an RG flow.

underliesSlowBlock
type: ObjectProperty
domain: FisherOperator
range: SlowBlock
comment: Slow block whose symmetric part is given by this Fisher operator.

hasHypocoerciveCFunction
type: ObjectProperty
type: FunctionalProperty
domain: RGFlow
range: HypocoerciveCFunction
comment: Hypocoercive C function associated with an RG flow.

hasRadialProfile
type: ObjectProperty
domain: ScalarFisherSector
range: RadialProfile
comment: Radial profile associated with a scalar sector or disc Fisher geometry.

hasScaleProfile
type: ObjectProperty
domain: RGFlow
range: RGScaleProfile
comment: Scale profile associated with an RG flow, such as r(level).

hasCorePaper
type: ObjectProperty
domain: ResearchProgramme
range: Paper
comment: Core paper belonging to the UIH research programme.

hasCoreConcept
type: ObjectProperty
domain: ResearchProgramme
range: UIHConcept
comment: Core concept belonging to the UIH research programme.

introducesConcept
type: ObjectProperty
domain: Paper
range: UIHConcept
comment: Concept first introduced by a paper.

extendsConcept
type: ObjectProperty
domain: Paper
range: UIHConcept
comment: Concept extended or generalised by a paper.

testsConcept
type: ObjectProperty
domain: Paper
range: UIHConcept
comment: Concept tested numerically or experimentally in a paper.

hasCodeArchive
type: ObjectProperty
domain: Paper
range: CodeArchive
comment: Code archive associated with a paper.

isCodeArchiveFor
type: ObjectProperty
domain: CodeArchive
range: Paper
comment: Paper served by a code archive.

containsScript
type: ObjectProperty
domain: CodeArchive
range: CodeArchiveScript
comment: Script contained in a code archive.

implementsConcept
type: ObjectProperty
domain: CodeArchiveScript
range: UIHConcept
comment: Concept implemented or numerically realised by a code archive script.

implementsDiagnostic
type: ObjectProperty
domain: CodeArchiveScript
range: Diagnostic
comment: Diagnostic implemented by a code archive script.

usesDataset
type: ObjectProperty
domain: Experiment
range: Dataset
comment: Dataset used by an experiment.

realisesDiagnostic
type: ObjectProperty
domain: Experiment
range: Diagnostic
comment: Diagnostic realised in an experiment.

estimatesConcept
type: ObjectProperty
domain: Experiment
range: UIHConcept
comment: Concept estimated or measured in an experiment.

diagnosesConcept
type: ObjectProperty
domain: Diagnostic
range: UIHConcept
comment: Concept diagnosed by a diagnostic.

aboutConcept
type: ObjectProperty
domain: UIHTheorem
range: UIHConcept
comment: Concept or concepts a theorem is about.

assumesAxiom
type: ObjectProperty
domain: UIHTheorem
range: UIHAxiom
comment: Axioms assumed by a theorem.

provedIn
type: ObjectProperty
domain: UIHTheorem
range: Paper
comment: Paper in which a theorem is proved.

usesDiagnostic
type: ObjectProperty
domain: UIHTheorem
range: Diagnostic
comment: Diagnostic used in the operational content of a theorem, if any.

UIHEntity
type: Class
comment: Root class for all entities in the UIH ontology.

UIHConcept
type: Class
subclass of: UIHEntity
comment: Abstract mathematical or physical concept in the UIH programme.

UIHArtefact
type: Class
subclass of: UIHEntity
comment: Concrete artefact such as a paper, code archive, dataset, or experiment.

UIHSector
type: Class
subclass of: UIHConcept
comment: Sector label for grouping UIH concepts, such as geometry, operator, scalar gravity, RG, or experiments.

ResearchProgramme
type: Class
subclass of: UIHConcept
comment: Research programme entity, such as Universal Information Hydrodynamics.

UIHStateSpace
type: Class
subclass of: UIHConcept
comment: State space on which UIH generators act.
belongs to sector: Geometry sector

DensityPhaseStateSpace
type: Class
subclass of: UIHStateSpace
comment: State space of density phase pairs (rho, S) in the Madelung picture.

UIHState
type: Class
subclass of: UIHConcept
comment: Individual state in a UIH state space.

DensityPhaseState
type: Class
subclass of: UIHState
comment: Density phase state (rho, S) in a density phase state space.

UIH generator
type: Class
subclass of: UIHConcept
alternative label: Dunkley-Fisher operator
comment: Real generator K acting on a UIH state space, split as K = G + J.
has wikidata item: Q136988110
importance level: core

FisherOperator
type: Class
subclass of: UIHConcept
comment: Symmetric Fisher operator G generating gradient flow in a Fisher metric.
importance level: core

SkewOperator
type: Class
subclass of: UIHConcept
comment: Skew operator J generating reversible flow in a UIH system.

UIHFlow
type: Class
subclass of: UIHConcept
comment: Flow of states generated by a UIH generator K.

FisherInformationMetric
type: Class
subclass of: UIHConcept
comment: Fisher information metric induced by G on a state or density space.
belongs to sector: Geometry sector
importance level: core

FreeEnergyFunctional
type: Class
subclass of: UIHConcept
comment: Free energy functional whose gradient flow in the Fisher metric is generated by G.

UniversalKFlow
type: Class
subclass of: UIHConcept
comment: Abstract universal K flow from which reversible, metriplectic, operator and scalar gravity projections are derived.

MadelungKFlow
type: Class
subclass of: UniversalKFlow
comment: Reversible Madelung K flow on (rho, S) under Dubrovin Novikov axioms.

MetriplecticKFlow
type: Class
subclass of: UniversalKFlow
comment: Metriplectic K flow including irreversible channel in the entropy geometry sector.

DensitySectorKFlow
type: Class
subclass of: UniversalKFlow
comment: Density sector K flow realised as Markov, Fokker Planck or GKLS density dynamics.

ScalarGravityKFlow
type: Class
subclass of: UniversalKFlow
comment: Scalar gravity K flow realising the Fisher halo sector.

FisherCompatibleGenerator
type: Class
subclass of: UIH generator
comment: Generator whose symmetric part is a Fisher operator inducing a Fisher metric and driving gradient flow of a free energy.
equivalent class: Class
  intersection of: UIH generator
  intersection of: Restriction
    on property: hasSymmetricPart
    some values from: FisherOperator
  intersection of: Restriction
    on property: inducesFisherMetric
    some values from: FisherInformationMetric
  intersection of: Restriction
    on property: drivesGradientFlowOf
    some values from: FreeEnergyFunctional

FisherStructure
type: Class
subclass of: UIHConcept
comment: Neutral Fisher structure B on a UIH state space, defined by the pair (g, Omega) and acting as B = g^{-1} Omega on tangent vectors.
belongs to sector: Geometry sector
importance level: core

FisherKahlerStructure
type: Class
subclass of: UIHConcept
comment: Fisher-Kahler structure obtained by untwisting a neutral Fisher structure on the active modes to a Kahler triple (h, Omega, I).
belongs to sector: Geometry sector
importance level: core

InformationCurrent
type: Class
subclass of: UIHConcept
comment: Information current associated with the unified generator K = G + J when viewed in the intrinsic Fisher-Kahler information geometry.
belongs to sector: Geometry sector
importance level: core

FisherChannel
type: Class
subclass of: UIHConcept
comment: Spectral information channel defined by the Fisher-Kahler structure and the decomposition of the unified generator K into eigenmodes.
belongs to sector: Geometry sector

ExponentChannel
type: Class
subclass of: FisherChannel
comment: Distinguished Fisher channel whose hypocoercive scaling exponent takes the value identified in the two-channel RG construction.
belongs to sector: Geometry sector

MetriplecticStructure
type: Class
subclass of: UIHConcept
comment: Metriplectic structure (G, J, F) combining symmetric and skew channels for a UIH generator.

WeightedHMinusOneGeometry
type: Class
subclass of: UIHConcept
comment: Weighted H^{-1} geometry induced by G on densities in the entropy geometry sector.

EntropyClock
type: Class
subclass of: UIHConcept
comment: Entropy clock built from the Fisher gap, giving intrinsic relaxation time.

EntropyProductionRate
type: Class
subclass of: ScalarQuantity
comment: Entropy production rate along a UIH flow.

CostEntropyInequality
type: Class
subclass of: UIHConcept
comment: Cost entropy inequality linking Fisher gradient cost to entropy decay.

CurvatureCoercivityInequality
type: Class
subclass of: UIHConcept
comment: Curvature coercivity inequality bounding decay in terms of curvature.

UIHSystem
type: Class
subclass of: UIHConcept
comment: Abstract system with a state space and a UIH generator.
belongs to sector: Operator sector

MarkovSystem
type: Class
subclass of: UIHSystem
comment: Finite state Markov system in UIH form.
belongs to sector: Operator sector

FokkerPlanckSystem
type: Class
subclass of: UIHSystem
comment: System with Fokker Planck generator realised as a UIH generator on densities.
belongs to sector: Operator sector

GKLSSystem
type: Class
subclass of: UIHSystem
comment: Quantum system with GKLS generator whose real block is in UIH form.
belongs to sector: Operator sector

QuantumDevice
type: Class
subclass of: UIHConcept
comment: Quantum hardware device, such as an IBM backend or other platform.

MarkovStateSpace
type: Class
subclass of: UIHStateSpace
comment: Finite dimensional state space of probability vectors for a Markov system.

FokkerPlanckStateSpace
type: Class
subclass of: UIHStateSpace
comment: State space of densities for a Fokker Planck system.

GKLSStateSpace
type: Class
subclass of: UIHStateSpace
comment: State space of density matrices for a GKLS system.

BKMMetric
type: Class
subclass of: UIHConcept
comment: Bogoliubov Kubo Mori metric on the space of density matrices.
belongs to sector: Operator sector

ComplexStructure
type: Class
subclass of: UIHConcept
comment: Complex structure operator on the active mode manifold.

SymplecticForm
type: Class
subclass of: UIHConcept
comment: Symplectic form on the active mode manifold.

KahlerTriple
type: Class
subclass of: UIHConcept
comment: Triple (g, Omega, I) giving a Kahler structure on the active modes.

DensitySectorGenerator
type: Class
subclass of: UIH generator
comment: UIH generator restricted to the density sector of a GKLS system.

UIHOperatorSpectrometer
type: Class
subclass of: UIHConcept
comment: UIH universality spectrometer implemented via cross coherence diagnostics.
belongs to sector: Operator sector

FisherJarzynskiRelation
type: Class
subclass of: UIHConcept
comment: Information theoretic Jarzynski type relation linking Fisher free energy differences to non equilibrium work statistics in UIH flows.
belongs to sector: Operator sector

BKMSpeedLimit
type: Class
subclass of: UIHConcept
comment: Quantum speed limit bound expressed in terms of the BKM metric along GKLS or UIH flows.
belongs to sector: Operator sector

BaryonicSystem
type: Class
subclass of: UIHConcept
comment: System with baryonic matter, such as a galaxy.

BaryonicDensityField
type: Class
subclass of: UIHConcept
comment: Baryonic density field rho_b(x) for a system.

GalaxyDiscSystem
type: Class
subclass of: BaryonicSystem
comment: Disc galaxy system with observed rotation curve and disc radius.

PotentialField
type: Class
subclass of: UIHConcept
comment: Newtonian potential field Phi(x) associated with a baryonic system.

ScalarField
type: Class
subclass of: UIHConcept
comment: Generic real scalar field sigma(x) used in the scalar Fisher sector.

ScalarFisherSector
type: Class
subclass of: UIHConcept
comment: Scalar Fisher sector built from the same Fisher operator and density, with a Fisher type action.
belongs to sector: Scalar gravity sector
importance level: core

FisherScalarHalo
type: Class
subclass of: UIHConcept
comment: Halo profile sigma_halo(r) solving the Fisher scalar equation for given baryons.
symbol: sigma_halo
latex symbol: \sigma_{\mathrm{halo}}
belongs to sector: Scalar gravity sector
importance level: core

DiscFisherGeometry
type: Class
subclass of: UIHConcept
comment: Disc Fisher field geometry with local precision operator and constant mode area law.
belongs to sector: Scalar gravity sector

RadialProfile
type: Class
subclass of: UIHConcept
comment: Function of radial coordinate r, for example alpha(r) or halo density.

RunningFisherCoupling
type: Class
subclass of: RadialProfile
comment: Running Fisher coupling profile alpha(r) controlling scalar sector strength.
belongs to sector: Scalar gravity sector

DiscAreaLaw
type: Class
subclass of: UIHConcept
comment: Concept that constant mode Fisher information scales with disc area plus boundary corrections.
belongs to sector: Scalar gravity sector
importance level: major

ScalarActionFunctional
type: Class
subclass of: UIHConcept
comment: Scalar action functional of sigma and its gradient in the Fisher scalar sector.

BernoulliBoundedEntropyFunctional
type: Class
subclass of: ScalarActionFunctional
comment: Bernoulli bounded entropy functional for the scalar field sigma, whose cold limit reproduces the Fisher BPS action and yields a bounded entropy correction.
belongs to sector: Scalar gravity sector

BogomolnyDecomposition
type: Class
subclass of: UIHConcept
comment: Bogomolny decomposition of the scalar action into squares plus a boundary term.

BPSSolutionManifold
type: Class
subclass of: UIHConcept
comment: Manifold of scalar field configurations that saturate the Bogomolny bound for fixed baryons.

BPSSaturatedHalo
type: Class
subclass of: FisherScalarHalo
comment: Halo that exactly saturates the Bogomolny bound for given baryonic loading.
equivalent class: Class
  intersection of: FisherScalarHalo
  intersection of: Restriction
    on property: memberOfBPSSolutionManifold
    some values from: BPSSolutionManifold

NearlyBPSSaturatedGalaxy
type: Class
subclass of: GalaxyDiscSystem
comment: Galaxy disc system whose BPS saturation parameter lies close to one, classified by external scripts.

FisherTemperature
type: Class
subclass of: ScalarQuantity
comment: Fisher temperature or inverse temperature parameter controlling halo phase structure and cusp core transitions.
belongs to sector: Scalar gravity sector
importance level: major

FisherSusceptibility
type: Class
subclass of: ScalarQuantity
comment: Fisher susceptibility C, with units of inverse velocity squared, encoding the response of the scalar sector to baryonic loading.
belongs to sector: Scalar gravity sector

BPSSaturationParameter
type: Class
subclass of: ScalarQuantity
comment: Dimensionless saturation parameter measuring proximity of a halo to the BPS bound.

FisherGalaxySpectrometer
type: Class
subclass of: UIHOperatorSpectrometer
comment: Fisher spectrometer for galaxies, built from the second variation of the scalar free energy around a halo solution.
belongs to sector: Scalar gravity sector

FisherHaloPhaseDiagnostic
type: Class
subclass of: Diagnostic
comment: Diagnostic for identifying compressed and cored Fisher halo phases and their dependence on Fisher temperature and susceptibility.
belongs to sector: Scalar gravity sector

CompressedFisherHalo
type: Class
subclass of: FisherScalarHalo
comment: Fisher halo configuration on the compressed branch of the Fisher scalar phase diagram.

CoredFisherHalo
type: Class
subclass of: FisherScalarHalo
comment: Fisher halo configuration on the cored branch of the Fisher scalar phase diagram.

ScalarQuantity
type: Class
subclass of: UIHConcept
comment: Scalar invariant quantity with a numeric value and units.

FisherGap
type: Class
subclass of: ScalarQuantity
comment: Fisher spectral gap lambda_F of minus G on a slow block.
importance level: core

HypocoerciveRate
type: Class
subclass of: ScalarQuantity
comment: Effective hypocoercive decay rate lambda_hyp on a slow block.

Hypocoercive index
type: Class
subclass of: ScalarQuantity
comment: Dimensionless hypocoercive index r = lambda_hyp / lambda_F on a slow block.
has wikidata item: Q137123907
importance level: core

SlowBlock
type: Class
subclass of: UIHConcept
comment: Slow block or coarse grained sector where gaps, rates and indices are defined.
belongs to sector: RG sector

RGMap
type: Class
subclass of: UIHConcept
comment: Fisher compatible renormalisation map acting on a generator or block.
belongs to sector: RG sector

RGLevel
type: Class
subclass of: UIHConcept
comment: Discrete RG scale level label.

RGFlow
type: Class
subclass of: UIHConcept
comment: Flow through RG levels under repeated RG maps.
belongs to sector: RG sector

UIHFingerprint
type: Class
subclass of: UIHConcept
comment: Compressed triple of invariants, such as (lambda_F, r, curvature scale), attached to a slow block.
belongs to sector: RG sector
importance level: major

UIHUniversalityClass
type: Class
subclass of: UIHConcept
comment: Universality class of UIH slow sectors.
belongs to sector: RG sector
importance level: major

UIHAttractorClass
type: Class
subclass of: UIHUniversalityClass
comment: Universality class representing the Fisher single current attractor.
belongs to sector: RG sector

PureFisherBlock
type: Class
subclass of: SlowBlock
comment: Slow block in the pure Fisher class, with hypocoercive index equal to one.

RGScaleProfile
type: Class
subclass of: UIHConcept
comment: Function of RG level or scale, such as r(level).

HypocoerciveCFunction
type: Class
subclass of: ScalarQuantity
comment: Hypocoercive C function along an RG flow, playing the role of a C function for Fisher compatible renormalisation.
belongs to sector: RG sector

Paper
type: Class
subclass of: UIHArtefact
subclass of: Article
comment: Scholarly article in the UIH programme.

CodeArchive
type: Class
subclass of: UIHArtefact
comment: Code archive collection associated with a UIH paper.

CodeArchiveScript
type: Class
subclass of: UIHArtefact
comment: Individual script within a UIH code archive.

Dataset
type: Class
subclass of: UIHArtefact
subclass of: Entity
comment: Dataset used in experiments, such as SPARC NPZ or IBM tomography data.
belongs to sector: Experiments and diagnostics sector

Experiment
type: Class
subclass of: UIHArtefact
subclass of: Activity
comment: Experimental or numerical activity applying diagnostics to systems and datasets.
belongs to sector: Experiments and diagnostics sector

Diagnostic
type: Class
subclass of: UIHConcept
comment: Diagnostic concept used to read or test a UIH structure.
belongs to sector: Experiments and diagnostics sector

EqualityDialDiagnostic
type: Class
subclass of: Diagnostic
comment: Cost entropy equality dial diagnostic for Fisher gradient rays.

CurvatureDiagnostic
type: Class
subclass of: Diagnostic
comment: Curvature coercivity diagnostic in the entropy geometry sector.

KahlerDefectDiagnostic
type: Class
subclass of: Diagnostic
comment: Diagnostic for deviations from exact Kahler structure in the operator sector.

SpectrometerDiagnostic
type: Class
subclass of: Diagnostic
comment: Universality spectrometer diagnostic based on cross coherence.
belongs to sector: Experiments and diagnostics sector

BPSSaturationDiagnostic
type: Class
subclass of: Diagnostic
comment: Diagnostic measuring BPS saturation distribution across SPARC galaxies.
belongs to sector: Experiments and diagnostics sector

HypocoerciveDiagnostic
type: Class
subclass of: Diagnostic
comment: Diagnostic for hypocoercive index and RG C function.
belongs to sector: Experiments and diagnostics sector

UIHAxiomOrTheorem
type: Class
subclass of: UIHEntity
comment: Root class for named axioms and theorems in the UIH programme.

UIHAxiom
type: Class
subclass of: UIHAxiomOrTheorem
comment: Named axiom in the UIH framework.

UIHTheorem
type: Class
subclass of: UIHAxiomOrTheorem
comment: Named theorem in the UIH framework.

Geometry sector
type: UIHSector
comment: Intrinsic Fisher-Kahler information geometry sector of UIH, built from Fisher structures, Kähler triples and information currents.

Operator sector
type: UIHSector
comment: Operator and density sector of UIH, including Markov, Fokker-Planck and GKLS systems, BKM geometry and universality spectrometers.

Scalar gravity sector
type: UIHSector
comment: Scalar Fisher halo gravity sector, where a Fisher scalar field couples to baryons and reproduces galaxy rotation curves.

RG sector
type: UIHSector
comment: Hypocoercive renormalisation sector tracking slow blocks, Fisher gaps, hypocoercive indices and C functions.

Experiments and diagnostics sector
type: UIHSector
comment: Experimental, numerical and diagnostic layer, including datasets, experiments and spectrometer diagnostics.

Universal Information Hydrodynamics
type: ResearchProgramme
type: CreativeWork
has wikidata item: Q136913087
comment: Research programme for Universal Information Hydrodynamics, unifying K = G + J flows across intrinsic Fisher-Kahler geometry, operator dynamics, scalar Fisher halos and hypocoercive renormalisation.
has core paper: The Converse Madelung Question
has core paper: The Converse Madelung Answer
has core paper: Universal Information Hydrodynamics
has core paper: Intrinsic Fisher-Kähler Information Geometry
has core paper: Emergent Fisher Halos from Information Geometry
has core paper: Hypocoercive Renormalisation
has core concept: UIH generator
has core concept: FisherOperator
has core concept: FisherInformationMetric
has core concept: FisherStructure
has core concept: FisherKahlerStructure
has core concept: InformationCurrent
has core concept: ScalarFisherSector
has core concept: FisherScalarHalo
has core concept: FisherGap
has core concept: Hypocoercive index
has core concept: UIHFingerprint
has core concept: UIHUniversalityClass
has core concept: Dunkley-Fisher gravity
has core concept: Hypocoercive renormalisation
has core concept: Intrinsic Fisher-Kähler information geometry

J. R. Dunkley
type: Person
has wikidata item: Q136892720

The Converse Madelung Question
type: Paper
doi: arXiv:2511.03552
creator: J. R. Dunkley
has wikidata item: Q136955981
has code archive: Madelung Question Code Archive

The Converse Madelung Answer
type: Paper
doi: 10.5281/zenodo.17643885
creator: J. R. Dunkley
has wikidata item: Q136956351
has code archive: Madelung Answer Code Archive

Universal Information Hydrodynamics
type: Paper
doi: 10.5281/zenodo.17651781
creator: J. R. Dunkley
has wikidata item: Q136956367
has code archive: Universal Information Hydrodynamics Code Archive

Intrinsic Fisher-Kähler Information Geometry
type: Paper
doi: 10.5281/zenodo.17779841
creator: J. R. Dunkley
has wikidata item: Q137215007

Hypocoercive Renormalisation
type: Paper
doi: 10.5281/zenodo.17751078
creator: J. R. Dunkley
has wikidata item: Q137117576
has code archive: Hypocoercive Renormalisation Code Archive

Emergent Fisher Halos from Information Geometry
type: Paper
doi: 10.5281/zenodo.17701223
creator: J. R. Dunkley
has wikidata item: Q136956377
has code archive: Emergent Fisher Halos from Information Geometry Code Archive

Madelung Question Code Archive
type: CodeArchive
doi: 10.5281/zenodo.17507179
has wikidata item: Q136892855
has zenodo record: 10.5281/zenodo.17507179
is code archive for: The Converse Madelung Question

Madelung Answer Code Archive
type: CodeArchive
doi: 10.5281/zenodo.17581557
has wikidata item: Q136892890
has zenodo record: 10.5281/zenodo.17581557
is code archive for: The Converse Madelung Answer

Universal Information Hydrodynamics Code Archive
type: CodeArchive
doi: 10.5281/zenodo.17651171
has wikidata item: Q136892877
has zenodo record: 10.5281/zenodo.17651171
is code archive for: Universal Information Hydrodynamics

Emergent Fisher Halos from Information Geometry Code Archive
type: CodeArchive
doi: 10.5281/zenodo.17701223
has wikidata item: Q137111835
has zenodo record: 10.5281/zenodo.17701223
is code archive for: Emergent Fisher Halos from Information Geometry

Hypocoercive Renormalisation Code Archive
type: CodeArchive
doi: 10.5281/zenodo.17752088
has wikidata item: Q137117766
has zenodo record: 10.5281/zenodo.17752088
is code archive for: Hypocoercive Renormalisation

Dunkley-Fisher gravity
type: UIHConcept
type: Concept
alternative label: Fisher halo gravity
alternative label: Fisher-halo gravity
has wikidata item: Q137122761
comment: Weak-field gravitational theory in which a scalar Fisher halo field, built from information geometry, couples to baryonic discs and reproduces galaxy rotation curves via a disc area law and near-BPS saturation.

Hypocoercive renormalisation
type: UIHConcept
type: Concept
alternative label: Hypocoercive renormalization
alternative label: Hypocoercive RG
has wikidata item: Q137123639
comment: Fisher-compatible renormalisation group framework that tracks hypocoercive mixing of symmetric and skew channels in a UIH generator using Fisher gaps and hypocoercive indices across slow blocks.

Fisher halo
type: Concept
has wikidata item: Q137045787

Intrinsic Fisher-Kähler information geometry
type: UIHConcept
type: Concept
alternative label: Fisher-Kähler geometry
has wikidata item: Q137215007
comment: Topic covering the intrinsic Fisher-Kähler information geometry that underlies the UIH programme, built from Fisher structures, neutral metrics and Kähler triples.

Converse Madelung answer theorem
type: UIHTheorem
comment: Theorem asserting that every conservative Madelung flow arises from a complex wavefunction, characterising the reversible K flow on density-phase space.
about concept: UIH generator
about concept: MadelungKFlow
proved in: The Converse Madelung Answer

Freeman law from Fisher halos
type: UIHTheorem
comment: Theorem showing that the Fisher scalar halo sector reproduces Freeman's central surface brightness law via the disc Fisher area law and near-BPS saturation for exponential discs.
about concept: DiscAreaLaw
about concept: ScalarFisherSector
about concept: FisherScalarHalo
proved in: Emergent Fisher Halos from Information Geometry

Single current attractor theorem
type: UIHTheorem
comment: Theorem describing the Fisher single current attractor class for hypocoercive renormalisation flows, governed by the UIH fingerprint invariants.
about concept: UIHAttractorClass
about concept: UIHFingerprint
about concept: Hypocoercive index
proved in: Hypocoercive Renormalisation

Hypocoercive universality classification
type: UIHTheorem
comment: Theorem classifying slow blocks into hypocoercive universality classes labelled by Fisher gaps, hypocoercive indices and curvature scales, providing a UIH fingerprint for RG flows.
about concept: UIHUniversalityClass
about concept: UIHFingerprint
about concept: SlowBlock
proved in: Hypocoercive Renormalisation

Fisher-Jarzynski relation
type: UIHTheorem
comment: Theorem expressing a Jarzynski-type equality in the UIH framework, linking Fisher free energy differences to non-equilibrium work statistics along K flows.
about concept: FisherJarzynskiRelation
about concept: FreeEnergyFunctional
about concept: UIHFlow
proved in: Universal Information Hydrodynamics