SOURCE & ORGANIZATION

Wikipedia is the source.
The structure is ours.

Physics, and the mathematics that supports it. Articles remain on Wikipedia; Illuminatio keeps a compact map of concepts, relationships and placement evidence, not a copy of the encyclopedia.

The entire indexed library now has 3D nodes

All 15,891 indexed articles across 91 fields appear in their corresponding 3D reading maps. Core concept identities and scientific edges stay separate from reviewed or category-indexed article nodes. Select an article to read its current Wikipedia hyperlinks live; those references are not prerequisites. No article bodies are stored and no new scientific admission is implied.

A wider physics reading library

The reading layer now places 15,891 English Wikipedia articles across 91 fields and knowledge spaces. This release adds 1,104 links from 136 bounded, direct-article category roots, covering particles, nuclei, condensed matter, astrophysics, plasma, quantum information and the mathematics used to describe them. Browse the reading library →

355 links resolve exactly to Core concepts; 1,041 retain article review and 14,495 are category-indexed reading locations. The reading library covers more ground than the reviewed knowledge graph. Each link shows its review level, and article content remains on Wikipedia.

Canonical map: the differential-geometry family

50 reviewed canonical concepts, 112 scientific connections and 46 formula cards organize nine new branches. A separate reading layer places 1,138 English Wikipedia pages without copying their article text across 44 actual knowledge spaces: 97 resolve to graph concepts and 1,041 remain direct reading links.

The finite catalog boundary is English Wikipedia's Differential geometry category and its non-excluded immediate subcategories, plus the exact reviewed v0.15.1 source pages; canonical main-namespace pages only, with every noncanonical candidate explicitly placed or excluded. 195 people, list, publication, history, disambiguation, or category-pollution pages were excluded. All 1,119 noncanonical candidates have an explicit semantic decision. The four broad field entrances have reviewed formula omissions; every concrete new concept is formula-backed. Article bodies stored: 0.

Previously added: fields, phases and cosmology

42 reviewed concepts, 120 scientific connections and 38 formula cards extend three connected areas: relativistic quantum fields and QED; their supporting mathematics and symmetries; phase transitions, band models and cosmology.

Mathematical tools keep their mathematics homes and appear as shared foundations in physics. Cosmology is a connected application area, not a subtype of General Relativity. Formula cards state their conventions and approximation limits. Wikipedia articles remain online.

Previously added: quantum dynamics, scattering and matter

50 reviewed concepts, 95 scientific connections and 41 new formula cards connect quantum evolution, approximation methods, bound states, tunnelling, quantum statistics and solid-state foundations. The Heisenberg equation is in Quantum Dynamics; the existing Density Matrix card now also shows von Neumann evolution.

A reviewed expansion, not all physics at once. Particle classes stay in Quantum Mechanics; Chemical Potential stays in Thermodynamics. Mathematical tools retain their original homes. Formulas state their regimes; articles remain on Wikipedia, with no article bodies stored.

Previously added: atoms, gases and thermal processes

30 reviewed concepts, 59 scientific connections and 24 formula cards extend Quantum Mechanics, Statistical Mechanics and Thermodynamics. General angular momentum and spin stay in Quantum Mechanics and are shared with the atomic branches.

Reviewed expansion, not complete physics coverage. Formula cards distinguish general concepts from special-case models and state their limits. Wikipedia is read live; no article bodies are stored.

Previously added: optics and continuous media

31 reviewed concepts, 61 scientific connections and 23 formula cards are browsable in six spaces. Mathematical tools retain their original homes and appear as shared references where needed.

An introductory expansion, not complete physics coverage. Articles are read from Wikipedia; no article bodies are stored. The records below preserve earlier review results, not a live admission queue.

Physics first. Mathematics with a purpose.

A mathematical concept needs a concrete physical application or a prerequisite chain ending in physics, with an independent reference. It keeps its mathematical home. Finding a suitable maths group does not, by itself, qualify a candidate for this project.

Candidates in scope8
Physical model still to review2
Context or blocked source2
Existing concepts audited244

Historical scope review: 2026-09-13, before this expansion. None of these 12 candidates was admitted by that check. Fluid Mechanics has since passed a separate branch and scientific review and is available above; the original decisions remain visible for comparison. A scope decision alone does not admit a concept.

Historical candidate decisions and physical applications

Lenz's law

physics

An electromagnetic induction law with a bounded physical statement about direction. Eligible for independent scientific review, not yet admitted.

Joule–Thomson effect

physics

A thermodynamic response of a real fluid during throttling; its physical scope is direct. Constant-enthalpy conditions still require scientific review.

Momentum operator

physics

A quantum-mechanical observable/operator scope, including the canonical versus kinetic distinction. The scoped physical definition remains subject to independent admission evidence.

Green's theorem

supporting mathematics

The planar integral theorem has a specific mechanical use: computing work around a closed planar curve. Keep its home in Calculus, without confusing it with Green's identities.

For a sufficiently regular planar force field and oriented boundary, the work-form Green theorem relates closed-loop work to the area integral of planar curl.

Physical concept → work

Application reference ↗ — The course introduces Green's theorem in work form, identifying the line integral as work and the double integral as curl. This supports relevance, not every force field or a new prerequisite edge.

Green's function

supporting mathematics

A Green kernel is a mathematical method with a concrete existing physical consumer: electrostatic potential with specified sources and boundary conditions.

The Poisson Green function reconstructs electrostatic potential from charge density, with the chosen boundary conditions determining the kernel.

Physical concept → electric potential

Application reference ↗ — Physics 209 Notes 1, equations (1.6)–(1.8) and (1.11)–(1.17), apply Green kernels to electrostatic Poisson problems. This is not an identity claim about every QFT propagator.

Gauss–Bonnet theorem

supporting mathematics

The surface theorem remains in Differential Geometry and has a specific physical application in gravitational light deflection.

Gauss–Bonnet applied to the two-dimensional optical metric gives the weak Schwarzschild deflection angle. The optical surface is not the four-dimensional Lorentzian spacetime itself.

Physical concept → schwarzschild spacetime

Application reference ↗ — Gibbons and Werner, section 2 and section 4.1, equation (14), use the surface theorem with boundary terms to derive the weak-deflection result.

Hamiltonian path

pending

This is graph theory, not Hamiltonian mechanics. Compact-polymer applications exist, but that physical model and its bounded mathematical prerequisites need review before adding a graph-theory branch.

Open and closed Hamiltonian walks appear in compact-polymer models; review the particular model and exact path/cycle scope before linking this general article.

Physical topic to review: Compact-polymer lattice models

Application reference ↗ — Lekić and Elezović-Hadžić study Hamiltonian walks on fractal lattices as compact-polymer models, including open and closed cases. This establishes a research lead, not a reviewed local physical consumer.

Laplace distribution

pending

An available probability group is insufficient for inclusion by itself. A concrete diffusion/resetting application was found, but that physical model is not yet represented; retain it with its evidence for a later physics-led batch.

For diffusion coefficient D and constant reset rate r, the stationary position density is a Laplace density with location x0 and scale sqrt(D/r). This identification is an explicit algebraic inference from equation (2).

Physical topic to review: One-dimensional diffusion with stochastic resetting

Application reference ↗ — Evans and Majumdar, equation (2), derive the stationary density alpha0/2 exp(-alpha0 |x-x0|), alpha0=sqrt(r/D), for one-dimensional diffusion with resetting.

Fluid mechanics

physics

Mechanics of fluids is directly physics. Its broad scope still needs a reviewed branch structure; relevance does not authorize insertion into a narrow existing formula group.

Richard Feynman

context only

A physicist's biography is contextual reading, not a physical concept node. Relevant theories and methods must be reviewed as their own concepts.

Potential (disambiguation)

blocked

The source is a disambiguation page rather than one scoped concept. No physics relevance or home is inferred from the word potential.

Symmetry (physics)

physics

Symmetries of physical systems belong in the project, but this umbrella article still needs a reviewed multi-scope structure. It does not authorize a duplicate of Group Theory.

Earlier 244-concept map: recorded links and gaps

136 concepts have physical homes. Of the mathematical concepts, 93 have recorded directed paths to physics without passing through a broad mathematical root; 13 connect only through such a root, and 2 have no recorded path of this kind.

This checks the existing map, not the truth of each scientific connection. A missing or broad link means the application needs documenting, not that the concept is irrelevant. No existing nodes have been removed or moved.

3,315distinct articles checked
120sampled titles examined
8reviewed concepts added
0article bodies stored

Original discovery batch: 2026-09-05 11:15:48 UTC. These are recorded batch results, not a background monitor. Select a concept’s “Check live source” control for a fresh availability check (metadata may be coalesced for up to one minute).

Read the concept, then choose its home

In the earlier semantic benchmark, Codex read Wikipedia and compared each concept with explicit scopes for 35 spaces and 112 groups. The program checks the proposed home, shared applications, source revision and later scientific evidence. This is agent-reviewed importing, not a model running inside the website.

Known misroutes rechecked3
New samples reviewed12
Agreed with frozen review11
Disagreements held1

A small, deliberately selected, agent-reviewed holdout. Not a representative accuracy estimate, scientific certification or unattended Wikipedia importer. All new samples remain outside Core. Checked 2026-09-13. Article bodies stored: 0. Automatic promotions: 0.

Known misroutes: the corrected semantic decisions

Lorentz force

The live lead defines an electromagnetic force law. Relativistic compatibility and the eponym do not make its home the Lorentz-transformations group.

Existing concept → classical-electromagnetism / fields-and-forcesWikipedia ↗

Electric charge

The article defines the source property before discussing its conservation and carriers. A conservation statement is a property of charge, not its canonical subject.

Existing concept → classical-electromagnetism / sourcesWikipedia ↗

Maxwell's equations

The lead identifies the electromagnetic field laws and distinguishes their classical scope from quantum electrodynamics. Variational and covariant formulations do not change that primary subject.

Existing concept → classical-electromagnetism / field-equationsWikipedia ↗
Historical semantic sample: first decisions and independent comparison

Lenz's law

The lead and definition establish an electromagnetic induction law. Its circuit examples illustrate that law and do not turn its canonical scope into a circuit-engineering field.

Proposal: new-home → classical-electromagnetism / field-equationsComparison: matched

The prediction selects a new induction-direction concept, preserves the changing-flux qualification and assigns classical-electromagnetism/field-equations, one of the frozen acceptable pairs. It does not identify the item with current, Lorentz force or the whole Maxwell system.

Not admitted to the graphWikipedia ↗

Joule–Thomson effect

The lead, description and constant-enthalpy argument define a bounded macroscopic thermodynamic effect. Microscopic interpretation and engineering applications do not replace that home.

Proposal: new-home → thermodynamics / thermal-energyComparison: matched

The declared scope is the constant-enthalpy temperature response during insulated real-fluid throttling. The new thermodynamics/thermal-energy home is explicitly allowed, and the prediction distinguishes the effect from enthalpy itself and unrestricted adiabatic expansion.

Not admitted to the graphWikipedia ↗

Momentum operator

The lead and position-space definition distinguish canonical from kinetic momentum. They support a quantum-mechanical home while retaining the explicit coupling qualification needed for its measurement interpretation.

Proposal: new-home → quantum-mechanics / measurementComparison: matched

The prediction treats quantum momentum as a new operator concept and chooses quantum-mechanics/measurement. It retains the canonical-versus-kinetic and domain qualifications, and explicitly rejects identity with generic operators or classical momentum.

Not admitted to the graphWikipedia ↗

Green's theorem

The lead and theorem statement establish a mathematical integral identity. Being related to generalized Stokes does not justify replacing or moving that existing canonical identity.

Proposal: new-home → calculus / integrationComparison: matched

The prediction isolates the planar integral theorem, distinguishes it from the existing general manifold Stokes theorem and selects the permitted calculus/integration home.

Not admitted to the graphWikipedia ↗

Green's function

The lead and definition-and-uses section distinguish the mathematical delta-source kernel from broader physical terminology. The explicit exclusions keep the proposed identity separate from the existing quantum-field propagator.

Proposal: new-home → mathematical-methods / analysisComparison: matched

The new mathematical-methods/analysis placement is the frozen home. The prediction explicitly restricts the identity to a differential-operator impulse-response kernel and excludes broader quantum-field correlation usage, satisfying the required scope separation from the existing propagator.

Not admitted to the graphWikipedia ↗

Gauss–Bonnet theorem

The statement and interpretation sections identify a bounded intrinsic-geometric theorem, including compactness and boundary qualifications. Its topological content arises through smooth surface curvature.

Proposal: new-home → differential-geometry / curvatureComparison: matched

The prediction scopes the surface curvature-topology theorem, keeps boundary qualifications and chooses differential-geometry/curvature. It does not confuse the theorem with existing curvature-tensor definitions or an electromagnetic law.

Not admitted to the graphWikipedia ↗

Hamiltonian path

The article's lead gives an explicit graph definition and distinguishes paths from cycles. Its eponym supplies no relationship to the existing Hamiltonian-mechanics branch.

Proposal: needs-new-branch → proposed Graph theoryComparison: matched

The prediction defines a graph path through every vertex once and proposes a new Graph theory root. That is one of the frozen missing-branch alternatives. It assigns no current home and rejects an eponym-based mechanical identity.

Not admitted to the graphWikipedia ↗

Laplace distribution

The lead and probability-density section establish a bounded mathematical distribution. Estimation methods and applications discussed elsewhere do not change that canonical identity.

Proposal: new-home → probability-theory / variables-distributionsComparison: matched

The scope is the specific continuous location-scale probability law and the home is exactly probability-theory/variables-distributions. The prediction distinguishes it from the general distribution concept, Boltzmann distribution and similarly named differential-equation methods.

Not admitted to the graphWikipedia ↗

Fluid mechanics

The lead explicitly divides the subject into statics and dynamics and describes a broad continuum discipline. It cannot be compressed into an existing narrow motion group or treated as another general formulation.

Proposal: needs-new-branch → proposed Fluid mechanicsComparison: matched

The prediction preserves the broad continuum subject including statics and dynamics and proposes Fluid mechanics beneath classical-mechanics, matching the frozen missing-branch parent. No narrow particle, oscillator or rigid-body home is assigned. The proposal does not finalize a parent group.

Not admitted to the graphWikipedia ↗

Richard Feynman

The live lead is sufficient to identify a biography. Under the concept-graph policy, it remains contextual material outside Core.

Proposal: excludedComparison: matched

The prediction identifies a biography, excludes it from the concept graph and does not map the person to diagrams, path integrals or another associated scientific concept. This is the frozen semantic-exclusion outcome.

Not admitted to the graphWikipedia ↗

Potential (disambiguation)

The source status requires blocking. This records the metadata limitation honestly and makes no claim to have read article prose for this item.

Proposal: blockedComparison: disagreement

The frozen expectation is an explicit disambiguation classification and semantic exclusion from concept routing. The prediction instead reports an unavailable read URL, ambiguous kind, uncertain identity and blocked disposition, without reading prose or completing that semantic conclusion. This is a safe source-gated abstention and preserves the no-home boundary, but the original policy does not count an unresolved hold as a complete match. It is not a wrong home and does not demonstrate a mistaken choice among potential concepts.

Not admitted to the graphWikipedia ↗

Symmetry (physics)

The lead and invariance section define a general physical topic and give examples spanning several theories. Routing the whole subject into classical-field symmetries or classical-mechanical principles would narrow its meaning without justification.

Proposal: needs-new-branch → proposed Physical symmetriesComparison: matched

The original label expressly permits a missing umbrella-branch review proposal identifying multiple physical domains and scope distinctions. The prediction proposes Physical symmetries across classical, relativistic and quantum theories, distinguishes discrete/continuous/internal forms and rejects equivalence with gauge redundancy, Noether's theorem or mathematical group theory. It therefore matches that predeclared alternative. It has not performed the full three-scope decomposition, and the match does not claim that it did.

Not admitted to the graphWikipedia ↗

Electromagnetism: a complete reviewed pilot

28 deliberately selected Wikipedia candidates, 12 new concepts and formulas. Charge and current, fields and forces, and Maxwell’s equations and waves now form one navigable branch. Vector Field, Divergence and Curl have one home in Calculus and are shared into this branch.

Explore electromagnetism →

Live-revalidated on 2026-09-13. This is an editorial development pilot, not a random sample or an independent accuracy benchmark. Historical keyword suggestions are retained below, including wrong destinations. Source-backed editorial review determined the final placements. No article bodies are stored; no automatic promotions.

added12
deferred9
existing2
navigation only1
outside pilot1
excluded2
blocked1

Controlled, source-reviewed domain batches only; unattended import remains disabled.

All 28 candidates: historical suggestions and final decisions

Electric charge

The classical electromagnetic branch separates sources, force laws, and field equations. It does not require the existing relativistic two-form formulation as an introductory prerequisite.

Legacy first pass: needs-review → field-actionDecision: added → classical-electromagnetismWikipedia ↗

Electric current

The classical electromagnetic branch separates sources, force laws, and field equations. It does not require the existing relativistic two-form formulation as an introductory prerequisite.

Legacy first pass: unresolvedDecision: added → classical-electromagnetismWikipedia ↗

Electric field

The classical electromagnetic branch separates sources, force laws, and field equations. It does not require the existing relativistic two-form formulation as an introductory prerequisite.

Legacy first pass: unresolved → classical-field-theoryDecision: added → classical-electromagnetismWikipedia ↗

Magnetic field

The classical electromagnetic branch separates sources, force laws, and field equations. It does not require the existing relativistic two-form formulation as an introductory prerequisite.

Legacy first pass: unresolved → classical-field-theoryDecision: added → classical-electromagnetismWikipedia ↗

Electric potential

The classical electromagnetic branch separates sources, force laws, and field equations. It does not require the existing relativistic two-form formulation as an introductory prerequisite.

Legacy first pass: unresolvedDecision: added → classical-electromagnetismWikipedia ↗

Coulomb's law

The classical electromagnetic branch separates sources, force laws, and field equations. It does not require the existing relativistic two-form formulation as an introductory prerequisite.

Legacy first pass: unresolvedDecision: added → classical-electromagnetismWikipedia ↗

Lorentz force

The classical electromagnetic branch separates sources, force laws, and field equations. It does not require the existing relativistic two-form formulation as an introductory prerequisite.

Legacy first pass: needs-review → special-relativityDecision: added → classical-electromagnetismWikipedia ↗

Maxwell's equations

The classical electromagnetic branch separates sources, force laws, and field equations. It does not require the existing relativistic two-form formulation as an introductory prerequisite.

Legacy first pass: unresolved → variational-principleDecision: added → classical-electromagnetismWikipedia ↗

Electromagnetic wave equation

The classical electromagnetic branch separates sources, force laws, and field equations. It does not require the existing relativistic two-form formulation as an introductory prerequisite.

Legacy first pass: unresolved → mathematical-methodsDecision: added → classical-electromagnetismWikipedia ↗

Vector field

Elementary vector calculus has one mathematical home and a shared appearance in electromagnetism. Browsing membership is not a subtype assertion.

Legacy first pass: unresolved → differential-geometryDecision: added → calculusWikipedia ↗

Divergence

Elementary vector calculus has one mathematical home and a shared appearance in electromagnetism. Browsing membership is not a subtype assertion.

Legacy first pass: unresolved → linear-algebraDecision: added → calculusWikipedia ↗

Curl (mathematics)

Elementary vector calculus has one mathematical home and a shared appearance in electromagnetism. Browsing membership is not a subtype assertion.

Legacy first pass: unresolvedDecision: added → calculusWikipedia ↗

Gauss's law

Review as a component law, not a subtype of the complete Maxwell system; decide differential versus integral scope.

Legacy first pass: needs-review → variational-principleDecision: deferredWikipedia ↗

Gauss's law for magnetism

Needs its own source/flux scope and shared integration prerequisites.

Legacy first pass: unresolvedDecision: deferredWikipedia ↗

Faraday's law of induction

Separate fixed-loop induction from moving-loop electromotive force.

Legacy first pass: unresolvedDecision: deferredWikipedia ↗

Ampère's circuital law

Separate the magnetostatic law from the Maxwell displacement-current correction.

Legacy first pass: unresolvedDecision: deferredWikipedia ↗

Poynting vector

Needs an explicit energy-flux scope and energy-conservation relation review.

Legacy first pass: unresolvedDecision: deferredWikipedia ↗

Magnetic vector potential

Requires a dedicated gauge-freedom and global-existence review.

Legacy first pass: unresolvedDecision: deferredWikipedia ↗

Electromagnetic field

Reuse the existing relativistic field-strength identity; do not duplicate it as an introductory E/B prerequisite.

Legacy first pass: identity-reviewDecision: existingWikipedia ↗

Electromagnetic tensor

Overlaps the existing field-strength scope; resolve article-to-concept correspondence before introducing another identity.

Legacy first pass: unresolved → general-relativityDecision: deferredWikipedia ↗

Classical electromagnetism

Used to discover this branch; a browsing category does not need a duplicate canonical concept.

Legacy first pass: unresolved → classical-field-theoryDecision: navigation-onlyWikipedia ↗

Quantum electrodynamics

Belongs to a later QFT pilot, not this classical-electromagnetism batch.

Legacy first pass: unresolved → quantum-field-theoryDecision: outside-pilotWikipedia ↗

History of electromagnetic theory

Historical overview, outside the concept-admission scope.

Legacy first pass: excludedDecision: excludedWikipedia ↗

James Clerk Maxwell

Biography, outside the concept-admission scope.

Legacy first pass: excludedDecision: excludedWikipedia ↗

Field

Disambiguation page; no unique concept identity.

Legacy first pass: blockedDecision: blockedWikipedia ↗

Gradient

Reuse the existing Calculus concept and share it into electromagnetism.

Legacy first pass: identity-reviewDecision: existingWikipedia ↗

Displacement current

Review separately from transport current and bind the constitutive assumptions explicitly.

Legacy first pass: needs-review → field-actionDecision: deferredWikipedia ↗

Electromagnetic radiation

Broader than the source-free vacuum wave equation; review emission and radiation scope separately.

Legacy first pass: needs-review → classical-field-theoryDecision: deferredWikipedia ↗

Mechanics foundations, reviewed

Elementary vectors, dot products and cross products now connect to mechanics directly. The audit separates required background from optional applications, and adds the calculus used by action and Hamiltonian concepts. Prerequisite paths follow these reviewed relationships; spatial positions do not encode difficulty or level.

Three targeted additions, independently reviewed and checked against live Wikipedia on 2026-09-05. This is not another large discovery run or an importer accuracy benchmark. Earlier batch totals above are unchanged.

01

Read Wikipedia

Read current identities and links, then read relevant article content live during maintenance. Record exact revisions; do not store article bodies.

02

Identify the concept

Separate articles from concepts. Detect overlapping titles and existing bindings; keep section scopes and ambiguous identities for review.

03

Check the physics scope

Include physics and mathematics with a specific physical use or prerequisite chain. Keep missing physical applications pending; biographies stay reading context, not concept nodes.

04

Review the semantic home

Codex compares the definition with explicit space and group scopes. Separate the primary home from shared applications, or hold a missing branch without inventing a destination.

05

Review the evidence

Check the exact scoped definition and every scientific relationship against independent references. A structurally valid placement is not scientific verification.

06

Accept or hold

Bind the actual definition and placements to the sealed semantic review. Require independent evidence, valid shared roles, no duplicate identities and no scientific cycles.

07

Integrate & version

Re-read accepted sources, check actual graph membership, and publish only checked, tagged changes. Unresolved candidates stay outside the graph.

Review queue, not automatic truth

Every candidate receives a disposition. The complete working queue is kept outside the website bundle; no unreviewed candidate is promoted automatically.

unresolved2,185
excluded731
needs review230
identity review160
blocked9

The 120-title examination exposed wrong-depth suggestions, misleading word matches, and article/concept ambiguity. It is a development audit, not a held-out accuracy benchmark. These are historical keyword results, not the current semantic workflow. “Excluded” was a reversible triage decision, not a deletion.

Added to the graph