Empirical Test — Law of Existence (Triadic Balance MNIST) v1.0 — Result: balance confirmed within empirical benchmark (dB + dC + dR ≈ 0)

We report an empirical test of the Law of Existence: during active learning, normalized changes in Persistence (dB), Coherence (dC), and Responsiveness (dR) sum to near zero. Using the MNIST benchmark under fixed architecture and optimizer, windowed bootstrap analysis shows dB + dC + dR ≈ 0 within ±0.05 CI in dynamic segments, while equilibrium and shuffled controls deviate significantly. This confirms the triadic balance predicted by the Grammar of Existence, linking structural, relational, and response dynamics into a conserved transformation capacity.