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ChiralitySpace.lean (1,100 lines): - Full 4D descriptor: Phase × Chirality × Direction × Regime - 8 phases (0°-315°), 3 chiralities, 2 directions, 3 regimes - 144 raw states, ~60 consistent (structural constraints) - Token chirality assignment: all 50 tokens have intrinsic handedness - Expression direction: constructive (forward) vs analytical (reverse) - Expression phase: circular mean of token group phases - Consistency theorem: consistent_count_lt_full - Scaling: 2^50 × 60 × 2^25 ≈ 2 × 10^25 classified expressions Key structural constraints: - Phase 0°/180° → ambidextrous only - Forward direction → phases < 180° only - Reverse direction → phases ≥ 180° only - Left chirality → forward half-plane - Right chirality → reverse half-plane - Beautiful regime → phases 0°-90° only - Horrible regime → phases 180°-360° only |
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| ChiralitySpace.lean | ||
| UniversalMathEncoding.lean | ||