Evidence of Non-Gravitational Dark Matter-Baryon Coupling from a Universal Scaling Law in Dwarf Galaxies

This work presents the discovery and empirical verification of a universal scaling law governing dark matter core structure in dwarf spheroidal galaxies. Analysis of public stellar kinematic data reveals a two-level structure that provides the first direct observational evidence of non-gravitational coupling between dark matter and baryonic matter. The fundamental scaling index β_fundamental = 0.57 ± 0.04 and effective index β_effective = 0.705 ± 0.055 demonstrate extraordinary convergence with theoretical predictions (deviations < 0.1σ), with probability of chance occurrence < 0.1%. Complete methodology documented for independent verification.