Research-Stack/obsidian-vault/01-LAYERS/L1-Geometric
Brandon Schneider 7c02104e43 Setup Obsidian Knowledge Base for Research Stack
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>
2026-05-19 14:40:41 +00:00
..
README.md Setup Obsidian Knowledge Base for Research Stack 2026-05-19 14:40:41 +00:00

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