A Phenomenological EFT for Galactic Rotation Curves from Topological Dissipation

We present a covariant phenomenological effective field theory (EFT) embedded withina ternary topological manifold (M3). Spacetime emerges as a thermodynamic projection ofinformation flux under topological impedance. We establish the Riccati dissipative closureas the minimal leading-order dynamics on the center manifold. The transition from UV ex-ponential suppression to IR algebraic behavior is formulated as an effective IR resummation.We establish full covariant closure by introducing a scalar bath sector that ensures energy-momentum conservation. Furthermore, the scalar field induces a screened Poisson equation,resolving the logarithmic divergence in gravitational lensing. Grounded by empirical scalingrelations, we demonstrate that this framework achieves comparable fit quality to standarddark matter halos on SPARC database rotation curves, providing a mathematically closedand predictive phenomenological alternative.