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README.md chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00

README.md

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: ofFloat in 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

Documentation

Hardware

Receipts

Subdirectories

#layer-L0 #primordial #fixed-point-arithmetic