From Radial Rigidity to Angular Coherence: Probing Cosmological Structure in RAR Residuals

This work explores a possible extension of the radial acceleration relation (RAR), one of the most precise empirical laws in galaxy dynamics, by investigating whether its residual scatter contains hidden angular structure.We introduce a minimal phenomenological framework based on a cosmological coherence field, allowing small deviations from isotropy to be encoded in galaxy rotation data. Using galaxy rotation curves and spin handedness measurements, we identify a dipolar pattern in RAR residuals, a weak correlation with galaxy handedness, and partial alignment of preferred axes across independent observables.While the detected signals remain moderate and subject to systematic uncertainties, the results are consistent with the possibility that galaxy scaling relations may encode not only radial information, but also a subleading angular component linked to large-scale structure.If confirmed with larger and more homogeneous datasets, this approach could open a new observational window into cosmological anisotropies, using precision galaxy dynamics as a probe of large-scale coherence.