FORMAL MATHEMATICAL MODELS
1. Sweller Tri-partite Load Model
$$L_{\text{total}} = w_i L_i + w_e L_e - \kappa L_g$$
When $L_{\text{total}} > 0.75$, working memory capacity ($7 \pm 2$) saturates, triggering biomorphic topology contraction to tunnel mode.
2. Fitts' Law Motor Kinetics
$$ID = \log_2\left(\frac{2D}{W}\right), \quad MT = a + b \cdot ID$$
The engine dynamically scales interactive hitboxes ($W$) proportional to calculated operator stress to maintain bounded $MT \le 250\text{ms}$.
3. Hick-Hyman Decision Latency
$$T_{\text{decision}} = b \sum_{i=1}^n p_i \log_2\left(\frac{1}{p_i} + 1\right)$$
Under elevated cognitive load, extraneous decision nodes ($n$) are pruned to minimize exponential reaction delay.