mirror of
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54004abe71
Created comprehensive Obsidian vault for managing Research Stack knowledge: Core Structure: - 00-MAP/ - Navigation, Dashboard, Core Concepts, Glossary, Getting Started - 01-LAYERS/ - All 7 USTSM layers (L0-L6) with formal proofs, docs, receipts, hardware - 07-RESEARCH/ - Milestones, Attack Plans, Conjectures, Experiments - 08-TOOLS/ - Templates, Workflows, Scripts - 09-REFERENCES/ - External resources - 10-ARCHIVE/ - Completed items Configuration Files: - .obsidian/app.json - Vault settings - .obsidian/community-plugins.json - Plugin configuration - .obsidian/snippets/research-stack.css - Custom theme with layer colors - .obsidian/plugins/ - Templater, QuickAdd, Dataview settings - .obsidian/workspaces.json - Pre-configured workspaces Templates Created: - Formal Proof - For Lean theorem documentation - Attack Plan - For research initiatives - Milestone - For project milestones - Receipt - For validation receipts - Daily Standup - For daily progress tracking Features: - Dataview dashboard queries for system health - Layer-specific color coding (L0-L6) - Receipt styling and validation status - Graph view customization - QuickAdd commands for rapid note creation - Templater automation with research helpers - Pre-configured workspaces for different activities Documentation: - README.md - Complete vault guide - Getting Started.md - Step-by-step tutorial - Core Concepts.md - Fundamental principles - Glossary.md - Research Stack terminology Burgers 4-Theorem Attack Plan documented: - Energy Dissipation theorem - CFL Stability theorem - Mass Conservation theorem - Complexity Regularization theorem Generated with [Devin](https://cli.devin.ai/docs) Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>
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971 B
Markdown
42 lines
No EOL
971 B
Markdown
# Layer L1: Geometric
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## Overview
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Shape-aware topology and coupling geometry. Bridges pure mathematics with spatial computation.
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## Status
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🟡 **Partial** - Some proofs in Lean, documentation migrated
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## Key Components
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### GWL 5-factor Coupling
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- Geometric coupling mechanism
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- 5 independent coupling factors
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- Tension-compression balance
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### TorsionalPIST
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- Quaternion-based torsional dynamics
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- 3D rotation representation
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- Torque transfer mechanics
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### HybridTSMPISTTorus
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- Toroidal topology implementation
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- Hybrid TSM/PIST integration
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- Periodic boundary conditions
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### GWL Throat
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- Geometric throat construction
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- Flow channel optimization
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- Cross-sectional area control
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## Formal Proofs
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- [[Eigensolid Convergence]] - Braid crossing loop stabilization
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- [[Geometric Coupling Correctness]] - GWL factor validation
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## Documentation
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- [[Geometric Topology Primer]]
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- [[Coupling Mechanics]]
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- [[Torsional Dynamics Guide]]
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---
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#layer-L1 #geometric #topology |