Active derivations from the shape-space programme. Work in progress.
The Schrödinger equation lives on shape space. McGehee coordinates decouple scale from shape at collision; quantum mechanics operates only on s ∈ S².
Integer spin ↔ boson, half-integer ↔ fermion. Derived from collision monodromy on the shape sphere, not from relativistic QFT.
The complete bipartite graph K2,3 is the combinatorial backbone of N=3 shape space — 2 equilateral poles, 3 collision points, connected by isosceles meridians.
A spatially local detector forces position as the pointer basis. Dephasing kills cross-cell coherence. Born weights emerge from metric-compatible information optimisation.
Each detector run latches into exactly one classical record. Exclusivity, latching, and calibration conditions close single-record formation at the detector boundary.