Structural Entropy Dynamics + τ(t) Prediction
This project simulates a dynamic entropy field over (K, D) space using structural attractors, dynamic residual perturbations, and gradient-based flow.
We simulate the time evolution φ(t) = (K(t), D(t)) using RK45 on a 2D entropy landscape:
- Dynamic entropy surface H(K, D, t)
- Moving attractor centers
- Real residuals as external perturbation driver
Then we extract the structural time τ(t) by integrating entropy gradient norms, and use d²τ/dt² to detect anomaly points.
Key Results:
- Final Structural Attractor:
( K^* ≈ 9.95,\quad D^* ≈ 69.02 ) - Final Structure Time:
( τ(100) ≈ 81.4 ) - Detected τ(t) Anomaly Indices:
[20, 36, 38, 46, 48, 57, 99, 100] - Entropy at φ*:
≈ 0.81431 - Classifier Report:
