Research-Stack/6-Documentation/wiki/obsidian-vault/01-LAYERS/L1-Geometric/README.md
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Markdown

# 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
- [[Geometric Topology Primer]]
- [[Coupling Mechanics]]
- [[Torsional Dynamics Guide]]
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#layer-L1 #geometric #topology