Ayala Omega Framework H8-A: Covariance-Aware BABAR-BESIII Null Test of Localized Shape Disagreement in the Electron-Positron to Pion-Pair Spectrum

This deposit documents H8-A, a covariance-aware null test of localized shape disagreement within the Ayala Omega Framework. The analysis compares the published BABAR and BESIII electron-positron to pion-pair spectra over the 0.600-0.880 GeV energy range using publicly available statistical covariance information and documented systematic uncertainties. BABAR data are mapped to the BESIII 5 MeV grid using exact bin-overlap averaging, with covariance propagated through the same transformation. After allowing for an overall normalization difference, no statistically significant global shape disagreement is observed (shape-only chi-square = 57.75 for 55 degrees of freedom, p = 0.374). A location-agnostic scan of 25 MeV windows finds its largest local shape statistic near 0.7025 GeV, but this feature is not statistically significant (local p = 0.154; look-elsewhere-adjusted p approximately 0.950). H8-A therefore provides a negative control for the Ayala Omega research program: the framework does not produce a significant localized discrepancy in this independent experimental comparison. The result constrains interpretations of localization observed in other Omega analyses and argues against treating such localization as a universal feature of pion-pair spectra. This deposit is intended as a transparent and reproducible computational research record and should not be interpreted as a peer-reviewed publication or as evidence for a new physical anomaly.