A Minimal Effective Source Model for Disk Galaxy Rotation Curves: Statistical Tests on the SPARC Sample (Version 2 - Revised

This paper introduces a revised phenomenological model for galaxy rotation curves where the apparent missing mass is represented by an effective source term. In this Version 2, we correct a transcription error in the predictive equation (Eq. 1) regarding the interpolation function. The revised model, ERRM-0, uses a universal acceleration scale (a₀) and a specific transition function to map baryonic distributions to observed kinematics. Tested against a quality-vetted sample of 150 galaxies from the SPARC database, the model yields a median reduced χ² of 1.52. This revision confirms that the high goodness-of-fit is maintained while ensuring physically consistent and stable flat rotation curves at large radii.

Version 2: Corrects a critical transcription error in the predictive equation (Eq. 1). The predictive equation now explicitly includes the interpolation function μ(x) used in the statistical analysis code to ensure asymptotic flatness of rotation curves.