In a companion study we reported the detection of a statistically robust empirical correlation between inner galactic kinematics and a proxy for the cumulative dark-matter scattering history in disk galaxies. In this work, we examine whether this relaxation signature persists uniformly across halo velocity scales. Using the same observationally derived quantities and rotation-curve data from the SPARC database, we perform a velocity-resolved analysis based on regime comparisons, transition diagnostics, smooth suppression modelling, and multiple robustness tests. We find that the relaxation signal is clearly present in low-velocity halos but becomes statistically consistent with zero in high-velocity systems. The data favour a gradual suppression rather than a sharp transition, with a characteristic velocity range of order 100–120 km s⁻¹. The result is entirely empirical and model-agnostic, does not rely on simulations or assumptions about dark-matter microphysics, and provides a kinematic constraint on the velocity domain over which dark-matter relaxation effects are observationally supported.
Attilio Riolo (Wed,) studied this question.