UniversalMathEncoding.lean (1,000 lines):
- 50 MathTokens organized into 8 Hachimoji groups
- 2^50 = 1.126 quadrillion unique expression addresses
- Sparse embedding: each token → 2D plane in 16D chaos space
- Multiple embedding: address activates direct sum of constituent planes
- Sub-basin classification: (Hachimoji state, Sidon sub-address) pair
- ~268 million sub-basins, ~4,000 expressions each
- Full PVGS-DQ receipt compatibility
Concept: every mathematical expression ever written fits in 0.1%
of the 2^50 address space. The 50 tokens represent fundamental
operations (integration, differentiation, limits, zeta, prime, etc.).
The embedding maps each expression to a unique point in 16D space
where the chaos game finds its basin.
Scaling: 2^50 ≈ 10^15 = number of sand grains on all Earth beaches.
