Synthetic Results — Test of the Laws of Persistence and Coherence (Ising / Kuramoto / Lorenz) v1.0 - Result: conservation confirmed under all synthetic regimes

Synthetic validation suite for the Laws of Persistence and Coherence (Pixie Pravda 2025). Three archetypal models—Ising-like, Kuramoto-like, and Lorenz-like—show a consistent unity-slope balance (slope ≈ 1.0, R² ≈ 0.8), confirming that the same triadic conservation structure found in real data also emerges in idealized dynamical systems. ------------------------------------------------------------------------------------------------This dataset contains the Phase-1 synthetic validation runs for the Law of Persistence and Law of Coherence (Pixie Pravda, 2025). Three archetypal synthetic systems (Ising-like, Kuramoto-like, Lorenz-like) were generated to verify the unity-slope conservation relationship dA ≈ –(dB + dC) under controlled noise. Each system shows a slope ≈ 1.0 and R² ≈ 0.80 ± 0.05, confirming that the same triadic balance observed in MNIST continual-learning experiments also emerges in physical and dynamical analogues. Files included: • README.txt — method and interpretation. • SUMMARY_metrics.csv — per-system slope/intercept/R². • Ising_synthetic.csv, Kuramoto_synthetic.csv, Lorenz_synthetic.csv — synthetic time-series data. Interpretation: An R² ≈ 0.8 reflects the universal balance between order and adaptability — the point of dynamic equilibrium where systems preserve ~80 % structure and allow ~20 % adaptive freedom. Related works: – Pre-registration for Laws of Persistence & Coherence (https://doi.org/10.5281/zenodo.###) – White Paper: The Three Laws of Change v1.1 (https://doi.org/10.5281/zenodo.17461519)