mirror of
https://github.com/allaunthefox/Research-Stack.git
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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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1.8 KiB
Markdown
67 lines
No EOL
1.8 KiB
Markdown
# Layer L0: Primordial
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## Overview
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The foundation layer of the Research Stack. Contains pure mathematics, fixed-point arithmetic, braid fields, and core computational primitives.
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## Status
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✅ **Implemented** - 746 modules, 3529 build jobs, 0 errors
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## Key Components
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### Q16.16 Fixed-Point Arithmetic
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- Core number system for all computation
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- Deterministic across all substrates (CPU, GPU, FPGA, ASIC)
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- Canonical constructors: `ofNat`, `ofRatio`, `ofInt`
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- Forbidden: `ofFloat` in compute paths
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### Braid Fields
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- 8-strand braid topology (BraidStorm)
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- Sidon labels: powers of 2 (1,2,4,8,16,32,64,128)
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- Yang-Baxter relation for order invariance
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- Crossing matrix C with contractive weights
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### PIST/DIAT Shell
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- Core computational framework
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- Quaternion-based rotations
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- Torsional dynamics
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### SSMS_nD
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- n-dimensional state space machine
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- Cross-dimensional transitions
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- State space compression
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## Formal Proofs
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### Core Theorems
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- [[Q16.16 Arithmetic Correctness]]
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- [[Braid Field Properties]]
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- [[Eigensolid Convergence]]
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- [[Receipt Invertibility]]
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### Recent Additions
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- [[Burgers 4-Theorem Attack Plan]] - Energy dissipation, CFL stability, mass conservation, complexity regularization
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## Documentation
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- [[Arithmetic Specification]]
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- [[Braid Topology Reference]]
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- [[PIST Implementation Guide]]
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## Hardware
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- [[FPGA Implementation Status]]
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- [[ASIC Design Considerations]]
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- [[Cross-Substrate Verification]]
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## Receipts
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- [[Build Receipt]] - Compilation verification
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- [[Test Receipt]] - Test suite results
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- [[Arithmetic Receipt]] - Number system validation
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## Subdirectories
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- [[01-Formal-Proofs]] - Mathematical proofs
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- [[02-Documentation]] - Technical documentation
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- [[03-Receipts]] - Validation receipts
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- [[04-Hardware]] - Hardware extraction
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---
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#layer-L0 #primordial #fixed-point-arithmetic |