Shows the full architecture as a self-contained equation spec:
- DualQuaternion = 8 components (Sidon-labeled 2^0..2^7)
- BurgersState -> DualQuaternion mapping (pluggable per PDE variant)
- Viscosity = scalar multiplication, advection = group rotation
- 4 theorems all native_decide, kernel-verified
- How to add a new PDE variant in ~24 lines, inheriting all proofs