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Layer L1: Geometric
Overview
Shape-aware topology and coupling geometry. Bridges pure mathematics with spatial computation.
Status
🟡 Partial - Some proofs in Lean, documentation migrated
Key Components
GWL 5-factor Coupling
- Geometric coupling mechanism
- 5 independent coupling factors
- Tension-compression balance
TorsionalPIST
- Quaternion-based torsional dynamics
- 3D rotation representation
- Torque transfer mechanics
HybridTSMPISTTorus
- Toroidal topology implementation
- Hybrid TSM/PIST integration
- Periodic boundary conditions
GWL Throat
- Geometric throat construction
- Flow channel optimization
- Cross-sectional area control
Formal Proofs
- Eigensolid Convergence - Braid crossing loop stabilization
- Geometric Coupling Correctness - GWL factor validation
Documentation
#layer-L1 #geometric #topology