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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

Documentation


#layer-L1 #geometric #topology