Effective Energy and Potential of a Reconstructed Vacuum–Tension Field from Ultraviolet–Regulated Turbulence.

This dataset provides the complete statistical post-processing material supporting the article “Effective Energy and Potential of a Reconstructed Vacuum–Tension Field from Ultraviolet–Regulated Turbulence.” It contains the Python script used to analyze the one-point statistics of a reconstructed vacuum–tension field $T_v$, obtained from ultraviolet–regulated two-dimensional turbulence, together with the corresponding numerical outputs. The input data consist of reconstructed field snapshots stored in compressed .npz format and originating from a previously published Zenodo archive. The post-processing pipeline aggregates multiple statistically independent snapshots and computes the empirical probability density, Gaussian reference fit, quantile–quantile diagnostics, and summary statistical indicators (mean, variance, kurtosis). These results provide independent, data-driven support for the dominance of a quadratic effective potential governing the vacuum–tension field in the statistically stationary regime. The archive includes: (i) the Python script used for statistical analysis, (ii) the publication-ready figure files, (iii) the aggregated CSV file containing summary statistics. This dataset ensures full transparency and independent reproducibility of the statistical results reported in the associated article.