# king-1 — Forecast quality (process realism)

**Lever:** better synthetic prior → lower geomean on held-out pool.

**Code base:** t_smo_v5-style generator (NumPy/SciPy).

**Key ideas:**
- `weekly_demand` (~8%) for retail/load calendar structure
- ARIMA-style correlated increments in `_integrated`
- RBF/RQ spectral GP on 2L circulant embedding (no wrap artifact)
- Prefix-causal measurement artifacts
- Forecastable pulse timing

**Score with:**
```bash
cascade verify ./king-1 --chain-toml chain.toml
cascade score ./king-1 --pool-dir ./my-heldout --device cuda --train-hours 0.5 --n-windows 256
```