Covariant q-Deformed Topological Field Theory on M3: Emergent Temporality and Galactic Kinematic Predictions

Wepresentacovariantq-deformedeffectivefieldtheory(EFT)embeddedwithinaternarytopological manifold (M3). In this framework, macroscopic time emerges as a thermody-namic projection associated with information flux under topological impedance. Treatinglocalized astrophysical systems as open subsystems, we introduce an effective dissipativecoupling representing coarse-grained interactions with background degrees of freedom. Thismechanism yields a natural flux attenuation that modifies the effective energy density profile.Analytical evaluation of the kinematic limits shows that the resulting rotation curves inher-ently reproduce a flat velocity regime at intermediate radii and a smooth transition towardKeplerian decline at large radii. The model provides a robust phenomenological frameworkcomparable to dark matter descriptions while offering a fundamentally distinct microphysicalinterpretation.