An interactive, source-backed graph connecting concepts across fields of knowledge. The current release combines the existing mathematics atlas with an initial physics spine running from foundational physical concepts through classical mechanics, relativity, quantum mechanics, quantum field theory, the Standard Model, particles, nuclei, atoms, ions, and molecules.
The atlas is one graph rather than a collection of isolated applications. Fields occupy vertically stacked, subtly bounded bands; domains form horizontal lanes within each field; and justified cross-field relations connect the bands.
/— global atlas/math/— mathematics scope/physics/— physics scope/concepts/<id>/— canonical concept pages/concepts/— static concept directory/data/atlas.json— canonical graph export/data/structures.json— compatibility alias for the graph export/data/schema.json— published JSON Schema
The generated site does not create or preserve /m/; configure an external redirect if one is required.
- Node.js 20 or newer
- npm
npm install
npm run devnpm run dev rebuilds when files under src/ change and serves the result at http://localhost:4173 by default.
npm run validate:data
npm run typecheck
npm testnpm run build writes the publishable static site to dist/. npm run build:pages copies that output unchanged to .pages/ for GitHub Pages.
The validator checks field/domain membership, node and edge references, citations and source URLs, construction-junction consistency, structural direction and cycles, duplicate relations, source usage, generic detail sections, and explicit inline-math markup.
src/
index.html shared application shell
styles.css application, graph, and field-band styling
main.ts graph renderer, routing, state, details, and SVG export
types.ts graph and application types
data/
structures.json canonical editable graph dataset
schema.json published schema
scripts/
build.mjs validates, compiles, generates pages, and assembles dist/
generate-concept-pages.mjs canonical concept, directory, and field-scope pages
generate-seo-assets.mjs sitemap, robots.txt, and llms.txt
validate-data.mjs semantic and reference validation
prepare-pages.mjs root-level GitHub Pages artifact
src/data/structures.json remains the single editable dataset for this revision. The model is now field-aware and can later be split into authoring modules without changing its compiled public form.
Each domain belongs to one field. Each concept declares:
primaryFieldandfieldsprimaryDomainanddomainsconceptTypelevel, used for vertical placement within the field band- common descriptive fields and optional generic
sections
Existing mathematics concepts inherit the mathematics field through their domains. Physics concepts use the generalized detail-section model so theories, laws, fields, particles, systems, processes, states, and phenomena can coexist without forcing them into the mathematics-specific carrier/data/axiom schema.
A concept may eventually belong to several fields. Boundary concepts such as atoms and molecules should remain single nodes with multiple memberships once chemistry is added, unless distinct disciplinary concepts genuinely require separate nodes.
The original mathematical relation types remain. The multi-field model adds relation types for:
- mathematical formulation
- framework specialization
- quantization
- theory components
- description or governance
- composition
- classification
- field excitation
- interaction mediation
- binding or formation
- limiting approximations
- state descriptions
- transformations and processes
Relations are not treated as one undifferentiated “built from” ordering. This is essential in physics: special relativity and quantum mechanics jointly constrain relativistic QFT, general relativity is parallel to the Standard Model rather than downstream from it, and classical limits are marked as approximations rather than derivations.
The left panel contains hierarchical field and domain filters plus a Cross-field links preference:
contextual— show designated overview bridges and reveal local bridges for the selected neighborhoodall— show all admitted cross-field relationshidden— suppress cross-field relations and their external prerequisite context
Fields, domains, edge types, cross-field visibility, display options, and layout are encoded in query parameters for bookmarkable views and browser history. Preferences continue to be written to local storage, but restoration is intentionally disabled in readStoredUiState() for now.
The scoped routes initialize their corresponding field while using the same graph and codebase. Canonical concept URLs are field-independent so a multi-field concept has one durable identity.
The initial physics spine is deliberately selective rather than encyclopedic. It establishes the ontology and relation vocabulary across:
- physical systems, states, observables, and theories
- classical, Lagrangian, Hamiltonian, and classical field theory
- spacetime, special relativity, and general relativity
- quantum mechanics, quantum states, wavefunctions, and observables
- QFT, gauge theories, QED, QCD, electroweak theory, and the Standard Model
- the Higgs field and Brout–Englert–Higgs mechanism
- fundamental interactions and Standard Model particle classes
- quarks, leptons, gauge bosons, hadrons, baryons, mesons, protons, and neutrons
- nuclei, nuclides, isotopes, atoms, atomic states, ions, and molecules
Every physics node and relation carries citations. Sources prioritize CERN, the Particle Data Group, NIST, U.S. Department of Energy references, Max Planck Institute’s Einstein Online, and IUPAC terminology.
Math-capable strings use explicit $...$ LaTeX delimiters, escaped for JSON:
"body": "Its gauge group is $SU(3)_C \\times SU(2)_L \\times U(1)_Y$."The browser escapes prose and sends only delimited formulas to KaTeX. npm run math:mark remains a migration aid for older unmarked text; its changes require editorial review.
.github/workflows/pages.yml installs locked dependencies, runs npm run build:pages, and deploys .pages/. The artifact now places the complete atlas at its root, including /math/, /physics/, and /concepts/.