Reading paths
Topics
Three ways into one thesis — graph theory, quantum simulation, and knowledge architecture, all metered by treewidth.
Shadow & Mirror argues that one graph invariant — treewidth — meters the cost of structure across every substrate it touches. These clusters are three doors into that single claim. Each links to the full 895-page volume.
Graph Theory & Treewidth
Treewidth, tree decomposition, brambles, and bounded-width algorithms — the graph invariant that meters the whole thesis.
Quantum Simulation & Advantage
Tensor-network contraction, entanglement entropy, and the treewidth cost of simulating quantum circuits — where Ross's Law lives.
Knowledge Architecture
Treewidth as a meter for note networks, knowledge graphs, and second-brain systems — the shadow–mirror architecture applied to thought.
Want the systematic view? The complexity matrix crosses every substrate with every graph invariant across the Shadow, Equilibrium, and Mirror regimes — and the vault maps every deposited Zenodo record to its place on that meter.