Research-Stack/2-Search-Space/README.md

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# 2-Search-Space
**Purpose:** Quaternion, braid, and manifold primitives for high-dimensional search space navigation.
**Depends on:** `0-Core-Formalism`
## Components
| Component | Status | Description |
|-----------|--------|-------------|
| PIST | In `core/`, `scratch/` | Perfectly Imperfect Square Theory |
| SVQF | In `core/` | Spherical Quaternion Vector Field |
| FAMM | In `core/`, `scratch/` | Frustration-Aware Manifold Mesh |
| Braid Theory | Planned | Topological constraints via braid brackets |
## Key Optimizations
1. **Quaternion Sieve** — Counter-rotation as band-pass filter
2. **Non-linear Gearbox** — φ-based fractional steps
3. **Calabi-Yau Compactification** — Discarded space folded into compactified dimensions
4. **Ricci Flow** — Self-smoothing via ∂g_ij/∂t = -2R_ij
## Hardware Range
Framework uses fixed-point arithmetic (Q16_16) — runnable on NES (1983) to modern FPGA.