Figure 6
A line graph shows physics residual versus operational time.The horizontal axis is labeled “Operational time”, ranging from 0.0 to 1.0 with an interval of 0.2. The vertical axis is labeled “Physics residual”, ranging from negative 0.150 to 0.025 with an interval of 0.025. A single curve is plotted. It starts at (0.0, negative 0.140), rises sharply, and crosses into positive values, reaching a peak of 0.03 around time 0.18. After the peak, the curve gradually decreases, crossing zero around time 0.4. It then becomes slightly negative and flattens, oscillating mildly around small negative values (negative 0.01) from time 0.5 to 1.0. Note: All numerical values are approximated.

Evolution of the physics residual for a representative validation fold, showing an initial transient adjustment followed by convergence toward near-zero values, consistent with physically admissible and thermodynamically constrained state evolution

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