Knowledge Architecture

knowledge graph structure and note-taking topology

The same meter that prices a quantum circuit prices a body of notes. A knowledge graph with low treewidth can be reasoned over locally; one with high treewidth holds genuinely irreducible connection. These pages apply the shadow–mirror frame to how knowledge is structured, stored, and recalled.

• Knowledge graph structure complexityQuery and reasoning cost over a knowledge graph tracks its treewidth. Why sparse, low-width schemas stay tractable.
• Zettelkasten graph structureA Zettelkasten is a knowledge graph. Its treewidth measures how locally you can reason over your notes — and where ideas truly converge.
• Second brain note-taking topologyBuilding a second brain is building a graph. Its topology — measured by treewidth — determines what you can recall and reason over locally.
• Shadow and mirror knowledge frameworkShadow, mirror, coupling: a three-term architecture for understanding any structured body of knowledge through one invariant.