Foundations of Energy
How energy is stored, transferred and transformed — from falling objects to living cells.
Graph explorer
Explore the knowledge graph
5 concepts viewed through this lens. Bridge concepts connect this view to Discrete Mathematics, Geometry, Logic, Mathematics….
Legend
- Focused concept
- Connected concept
- Bridge concept (just outside the lens)
- Arrow points from cause / source to effect / target
- A line with no arrow is a two-way relationship
- Node colour marks the concept’s primary discipline
4 concepts3 relationships4 disciplines2 relation families
Topological space
Open concept →At a glance
A topological space equips a set with a notion of nearness, letting mathematicians study continuity without distance.
- Disciplines
- Topology · Mathematics
- Role in the graph
- Cross-disciplinary bridge — reaches Discrete Mathematics, Set Theory
- Relationships
- 2 · 1 relation families
What am I looking at?
In this lens (5)
- illuminated by this discipline
- illuminated by this discipline
- illuminated by this discipline
- illuminated by this discipline
- illuminated by this discipline
Bridge concepts (5)
Just outside the lens — they connect it to other context.
- Geometry, Mathematics · connects to Manifold
- Mathematics · connects to Topology
- Set1Discrete Mathematics, Mathematics, Set Theory · connects to Topological space
- Logic, Mathematics · connects to Topology
- Mathematics · connects to Topology
Insights from this view
Structural observations about the concepts shown here — descriptions of this graph, not claims about the world.
- This view connects 4 disciplines: Discrete Mathematics, Mathematics, Set Theory, Topology.
- Topological space is a bridge concept — viewed here through Mathematics, Topology.
Relationships as a list
The focused concept’s relationships. Pick another concept in the graph above to update this list.
Explore through a different lens
A lens is a deterministic projection of the graph. Pick a discipline, thinking pattern or journey to reframe the whole view.
By thinking pattern
Bayesian updatingCause and effectCompoundingConservationConstraintsDefense in depthDiffusion & spreadEmergenceEnergy transformationEntropy & irreversibilityEquilibriumFeedback loopIncentivesInformationLevels & hierarchyModularityNetworksOptimizationOscillationProbabilityRecursion & self-similarityScaleSignal vs noiseSource–pathway–receptorStocks and flowsSymmetry & invarianceThresholds & tipping pointsTrade-offsTriangulationVariation & selectionWaves
Concept collections
Concept collections are curated lenses onto the fabric — themed sets of ideas that recur across disciplines. They are not journeys; they are a way to read the graph.
Understanding Systems
Stocks, flows and feedback — why wholes behave in ways their parts do not.
Patterns Everywhere
Regularities that recur across maths, music, nature and art.
How Information Moves
Encoding, signals and noise — the same idea in computers, genes and nerves.
About this view
What this is
Start from one concept and expand outward. The view never shows everything at once — click a node to refocus, filter by relationship type, or switch to an accessible list.
One fabric
3750 concepts and 5051 typed relations form one connected component — no isolated silo.
How to read it
Focus a concept, or apply a lens (discipline, mental model, journey) to see only the threads that matter.