Universal Information Hydrodynamics Ontology
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.
Canonical symbol name for a UIH concept, such as K, G, J, sigma_halo.
LaTeX form of a concept symbol.
Section identifier (human readable) in the primary paper where this concept is defined.
LaTeX equation labels in the source papers associated with this concept.
Primary paper in which this concept receives its first full definition.
Human readable units string for a quantity, such as 1/time or dimensionless.
Qualitative importance level of a UIH concept within the programme, such as core, major, or supporting.
Numeric value of a scalar quantity.
Numeric Fisher gap value for a slow block.
Numeric hypocoercive decay rate for a slow block.
Numeric hypocoercive index r for a slow block.
String value of an associated Wikidata Q identifier, such as Q136913087.
Zenodo record identifier or DOI for an artefact.
State space on which a UIH generator K acts.
Symmetric part G of the generator K = G + J.
Skew part J of the generator K = G + J.
Fisher information metric induced by a Fisher operator G on a state space.
Free energy functional whose gradient flow in the Fisher metric is generated by G.
Flow of states generated by a UIH generator K.
State space on which a given UIH flow acts.
Generator K of a UIH flow or of a UIH system.
Reversible Madelung projection of the universal K flow.
Metriplectic projection of the universal K flow.
Operator and density sector projection of the universal K flow.
Scalar gravity projection of the universal K flow.
Marks the primary UIH sector (geometry, operator, gravity, RG, experiments) to which a concept belongs.
Weighted H^{-1} geometry associated with a Fisher operator G.
Metriplectic structure (G, J, F) associated with a UIH generator.
Entropy clock associated with a generator or slow block.
Entropy production rate associated with a given UIH flow.
Real density sector generator associated with a GKLS system.
Bogoliubov Kubo Mori metric for a GKLS system.
Complex structure on the active mode manifold of a UIH state space.
Symplectic form on the active mode manifold of a UIH state space.
Kahler triple (g, Omega, I) on the active modes of a UIH state space.
Intrinsic Fisher structure B on a UIH state space, defined by metric and symplectic form.
Kahler triple obtained by untwisting a neutral Fisher structure on the active modes.
Information current associated with a UIH generator K in the Fisher-Kahler geometry.
Quantum device on which a UIH system is realised.
Quantum device on which a generator was reconstructed via tomography.
Noisy reconstructed generator is a reconstruction of an ideal generator.
Universality spectrometer associated with a UIH system.
Baryonic density field associated with a baryonic system.
Newtonian potential field associated with a baryonic system.
Scalar Fisher sector associated with a system or generator.
Fisher scalar halo profile for a galaxy disc system.
Disc Fisher geometry associated with a galaxy disc system.
Running Fisher coupling profile alpha(r) for a disc geometry or scalar sector.
Scalar action functional associated with a scalar Fisher sector.
Bogomolny decomposition associated with a scalar action functional.
BPS solution manifold associated with a scalar action.
Halo that lies on a BPS solution manifold for a given baryonic load.
BPS saturation parameter associated with a galaxy disc system.
Fisher operator underlying a disc Fisher geometry.
Disc Fisher geometry underlain by a given Fisher operator.
Fisher temperature or inverse temperature parameter controlling halo phase structure for a galaxy disc system.
Fisher susceptibility or heat capacity-like response parameter C for a galaxy disc system.
Fisher spectrometer constructed from the second variation of the scalar free energy for a galaxy.
Slow block associated with a UIH generator.
Fisher gap associated with a slow block.
Hypocoercive decay rate associated with a slow block.
Hypocoercive index r associated with a slow block.
RG map associated with a UIH generator.
Slow block a renormalisation map acts on.
RG level label associated with a slow block.
Immediate next RG level in a discrete RG hierarchy.
RG flow associated with a generator or slow block.
Initial slow block of an RG flow.
Final slow block considered in an RG flow.
Slow blocks that participate in an RG flow.
UIH fingerprint associated with a slow block.
Fisher gap component of a UIH fingerprint.
Hypocoercive index component of a UIH fingerprint.
Curvature or Fisher scale component of a UIH fingerprint.
Universality class a slow block belongs to.
Canonical fingerprint that characterises a universality class.
Attractor class approached by an RG flow.
Slow block whose symmetric part is given by this Fisher operator.
Hypocoercive C function associated with an RG flow.
Radial profile associated with a scalar sector or disc Fisher geometry.
Scale profile associated with an RG flow, such as r(level).
Core paper belonging to the UIH research programme.
Core concept belonging to the UIH research programme.
Concept first introduced by a paper.
Concept extended or generalised by a paper.
Concept tested numerically or experimentally in a paper.
Code archive associated with a paper.
Paper served by a code archive.
Script contained in a code archive.
Concept implemented or numerically realised by a code archive script.
Diagnostic implemented by a code archive script.
Dataset used by an experiment.
Diagnostic realised in an experiment.
Concept estimated or measured in an experiment.
Concept diagnosed by a diagnostic.
Concept or concepts a theorem is about.
Axioms assumed by a theorem.
Paper in which a theorem is proved.
Diagnostic used in the operational content of a theorem, if any.
Root class for all entities in the UIH ontology.
Abstract mathematical or physical concept in the UIH programme.
Concrete artefact such as a paper, code archive, dataset, or experiment.
Sector label for grouping UIH concepts, such as geometry, operator, scalar gravity, RG, or experiments.
Research programme entity, such as Universal Information Hydrodynamics.
State space on which UIH generators act.
State space of density phase pairs (rho, S) in the Madelung picture.
Individual state in a UIH state space.
Density phase state (rho, S) in a density phase state space.
UIH generator
Dunkley-Fisher operator
Real generator K acting on a UIH state space, split as K = G + J.
Symmetric Fisher operator G generating gradient flow in a Fisher metric.
Skew operator J generating reversible flow in a UIH system.
Fisher information metric induced by G on a state or density space.
Abstract universal K flow from which reversible, metriplectic, operator and scalar gravity projections are derived.
Reversible Madelung K flow on (rho, S) under Dubrovin Novikov axioms.
Metriplectic K flow including irreversible channel in the entropy geometry sector.
Density sector K flow realised as Markov, Fokker Planck or GKLS density dynamics.
Scalar gravity K flow realising the Fisher halo sector.
Generator whose symmetric part is a Fisher operator inducing a Fisher metric and driving gradient flow of a free energy.
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.
Fisher-Kahler structure obtained by untwisting a neutral Fisher structure on the active modes to a Kahler triple (h, Omega, I).
Information current associated with the unified generator K = G + J when viewed in the intrinsic Fisher-Kahler information geometry.
Spectral information channel defined by the Fisher-Kahler structure and the decomposition of the unified generator K into eigenmodes.
Distinguished Fisher channel whose hypocoercive scaling exponent takes the value identified in the two-channel RG construction.
Metriplectic structure (G, J, F) combining symmetric and skew channels for a UIH generator.
Weighted H^{-1} geometry induced by G on densities in the entropy geometry sector.
Entropy clock built from the Fisher gap, giving intrinsic relaxation time.
Entropy production rate along a UIH flow.
Cost entropy inequality linking Fisher gradient cost to entropy decay.
Curvature coercivity inequality bounding decay in terms of curvature.
Abstract system with a state space and a UIH generator.
Finite state Markov system in UIH form.
System with Fokker Planck generator realised as a UIH generator on densities.
Quantum system with GKLS generator whose real block is in UIH form.
Quantum hardware device, such as an IBM backend or other platform.
Finite dimensional state space of probability vectors for a Markov system.
State space of densities for a Fokker Planck system.
State space of density matrices for a GKLS system.
Bogoliubov Kubo Mori metric on the space of density matrices.
Complex structure operator on the active mode manifold.
Symplectic form on the active mode manifold.
Triple (g, Omega, I) giving a Kahler structure on the active modes.
UIH generator restricted to the density sector of a GKLS system.
UIH universality spectrometer implemented via cross coherence diagnostics.
Information theoretic Jarzynski type relation linking Fisher free energy differences to non equilibrium work statistics in UIH flows.
Quantum speed limit bound expressed in terms of the BKM metric along GKLS or UIH flows.
System with baryonic matter, such as a galaxy.
Baryonic density field rho_b(x) for a system.
Disc galaxy system with observed rotation curve and disc radius.
Newtonian potential field Phi(x) associated with a baryonic system.
Generic real scalar field sigma(x) used in the scalar Fisher sector.
Scalar Fisher sector built from the same Fisher operator and density, with a Fisher type action.
Halo profile sigma_halo(r) solving the Fisher scalar equation for given baryons.
Disc Fisher field geometry with local precision operator and constant mode area law.
Function of radial coordinate r, for example alpha(r) or halo density.
Running Fisher coupling profile alpha(r) controlling scalar sector strength.
Concept that constant mode Fisher information scales with disc area plus boundary corrections.
Scalar action functional of sigma and its gradient in the Fisher scalar sector.
Bernoulli bounded entropy functional for the scalar field sigma, whose cold limit reproduces the Fisher BPS action and yields a bounded entropy correction.
Bogomolny decomposition of the scalar action into squares plus a boundary term.
Manifold of scalar field configurations that saturate the Bogomolny bound for fixed baryons.
Halo that exactly saturates the Bogomolny bound for given baryonic loading.
Galaxy disc system whose BPS saturation parameter lies close to one, classified by external scripts.
Fisher temperature or inverse temperature parameter controlling halo phase structure and cusp core transitions.
Fisher susceptibility C, with units of inverse velocity squared, encoding the response of the scalar sector to baryonic loading.
Dimensionless saturation parameter measuring proximity of a halo to the BPS bound.
Fisher spectrometer for galaxies, built from the second variation of the scalar free energy around a halo solution.
Diagnostic for identifying compressed and cored Fisher halo phases and their dependence on Fisher temperature and susceptibility.
Fisher halo configuration on the compressed branch of the Fisher scalar phase diagram.
Fisher halo configuration on the cored branch of the Fisher scalar phase diagram.
Scalar invariant quantity with a numeric value and units.
Fisher spectral gap lambda_F of minus G on a slow block.
Effective hypocoercive decay rate lambda_hyp on a slow block.
Hypocoercive index
Dimensionless hypocoercive index r = lambda_hyp / lambda_F on a slow block.
Slow block or coarse grained sector where gaps, rates and indices are defined.
Fisher compatible renormalisation map acting on a generator or block.
Discrete RG scale level label.
Flow through RG levels under repeated RG maps.
Compressed triple of invariants, such as (lambda_F, r, curvature scale), attached to a slow block.
Universality class of UIH slow sectors.
Universality class representing the Fisher single current attractor.
Slow block in the pure Fisher class, with hypocoercive index equal to one.
Function of RG level or scale, such as r(level).
Hypocoercive C function along an RG flow, playing the role of a C function for Fisher compatible renormalisation.
Scholarly article in the UIH programme.
Code archive collection associated with a UIH paper.
Individual script within a UIH code archive.
Dataset used in experiments, such as SPARC NPZ or IBM tomography data.
Experimental or numerical activity applying diagnostics to systems and datasets.
Diagnostic concept used to read or test a UIH structure.
Cost entropy equality dial diagnostic for Fisher gradient rays.
Curvature coercivity diagnostic in the entropy geometry sector.
Diagnostic for deviations from exact Kahler structure in the operator sector.
Universality spectrometer diagnostic based on cross coherence.
Diagnostic measuring BPS saturation distribution across SPARC galaxies.
Diagnostic for hypocoercive index and RG C function.
Root class for named axioms and theorems in the UIH programme.
Named axiom in the UIH framework.
Named theorem in the UIH framework.
Geometry sector
Intrinsic Fisher-Kahler information geometry sector of UIH, built from Fisher structures, Kähler triples and information currents.
Operator sector
Operator and density sector of UIH, including Markov, Fokker-Planck and GKLS systems, BKM geometry and universality spectrometers.
Scalar gravity sector
Scalar Fisher halo gravity sector, where a Fisher scalar field couples to baryons and reproduces galaxy rotation curves.
RG sector
Hypocoercive renormalisation sector tracking slow blocks, Fisher gaps, hypocoercive indices and C functions.
Experiments and diagnostics sector
Experimental, numerical and diagnostic layer, including datasets, experiments and spectrometer diagnostics.
Universal Information Hydrodynamics
Research programme for Universal Information Hydrodynamics, unifying K = G + J flows across intrinsic Fisher-Kahler geometry, operator dynamics, scalar Fisher halos and hypocoercive renormalisation.
The Converse Madelung Question
The Converse Madelung Answer
Intrinsic Fisher-Kähler Information Geometry
Hypocoercive Renormalisation
Emergent Fisher Halos from Information Geometry
Madelung Question Code Archive
Madelung Answer Code Archive
Universal Information Hydrodynamics Code Archive
Emergent Fisher Halos from Information Geometry Code Archive
Hypocoercive Renormalisation Code Archive
Dunkley-Fisher gravity
Fisher halo gravity
Fisher-halo gravity
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
Hypocoercive renormalization
Hypocoercive RG
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
Fisher-Kähler geometry
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
Theorem asserting that every conservative Madelung flow arises from a complex wavefunction, characterising the reversible K flow on density-phase space.
Freeman law from Fisher halos
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.
Single current attractor theorem
Theorem describing the Fisher single current attractor class for hypocoercive renormalisation flows, governed by the UIH fingerprint invariants.
Hypocoercive universality classification
Theorem classifying slow blocks into hypocoercive universality classes labelled by Fisher gaps, hypocoercive indices and curvature scales, providing a UIH fingerprint for RG flows.
Fisher-Jarzynski relation
Theorem expressing a Jarzynski-type equality in the UIH framework, linking Fisher free energy differences to non-equilibrium work statistics along K flows.