We present the first quantitative global validation of the q-deformed Effective Field The-ory (q-EFT) acceleration drift model against the full 175-galaxy SPARC rotation curvedatabase. The q-EFT framework predicts a mass-dependent effective acceleration scalea0(W) = a(∞) 0 4W/(4W + 1), whereW= β(Mbar/M0)1/2 istheeffectivetopologicalchargederived from first principles in Paper III of this series (Wei, 2026c). A global χ2 minimiza-tion over the entire 175-galaxy sample, with β and M0 as the sole universal free parameters,yields best-fit values β = 0.590 and M0 = 3.20 ×109 M⊙. The O(1) magnitude of β isin direct quantitative agreement with the theoretical order-of-magnitude estimate derivedfrom vacuum topology in Paper III. The global reduced χ2 decreases from 29.69 (standardMOND with fixed a0) to 27.67 (q-EFT), representing a 6.8% systematic reduction in resid-uals achieved without any per-galaxy parameter tuning. In the dwarf galaxy subsample(Mbar < 109 M⊙), q-EFT outperforms MOND in 65.7% of cases, directly confirming thepredicted a0 suppression in the low-mass regime. The primary limitation of the presentanalysis is the adoption of a fixed stellar mass-to-light ratio Υdisk = 0.5 across all morpho-logical types; floating this parameter in future work is expected to further tighten the fits.These results constitute the first empirical confirmation of a topologically-induced galacticacceleration drift.
Da Wei (Thu,) studied this question.