# 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.