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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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Layer L0: Primordial
Overview
The foundation layer of the Research Stack. Contains pure mathematics, fixed-point arithmetic, braid fields, and core computational primitives.
Status
✅ Implemented - 746 modules, 3529 build jobs, 0 errors
Key Components
Q16.16 Fixed-Point Arithmetic
- Core number system for all computation
- Deterministic across all substrates (CPU, GPU, FPGA, ASIC)
- Canonical constructors:
ofNat,ofRatio,ofInt - Forbidden:
ofFloatin compute paths
Braid Fields
- 8-strand braid topology (BraidStorm)
- Sidon labels: powers of 2 (1,2,4,8,16,32,64,128)
- Yang-Baxter relation for order invariance
- Crossing matrix C with contractive weights
PIST/DIAT Shell
- Core computational framework
- Quaternion-based rotations
- Torsional dynamics
SSMS_nD
- n-dimensional state space machine
- Cross-dimensional transitions
- State space compression
Formal Proofs
Core Theorems
Recent Additions
- Burgers 4-Theorem Attack Plan - Energy dissipation, CFL stability, mass conservation, complexity regularization
Documentation
Hardware
Receipts
- Build Receipt - Compilation verification
- Test Receipt - Test suite results
- Arithmetic Receipt - Number system validation
Subdirectories
- 01-Formal-Proofs - Mathematical proofs
- 02-Documentation - Technical documentation
- 03-Receipts - Validation receipts
- 04-Hardware - Hardware extraction
#layer-L0 #primordial #fixed-point-arithmetic