The Standard Model of cosmology relies on the hypothesis of collisionless dark matter and a frictionless geometric spacetime continuum. This paper introduces the Superfluid Trame Theory (SFT), postulating that spacetime operates as a rheo-thinning non-Newtonian fluid. By applying fluid dynamics at both macroscopic and microscopic scales, this model resolves galactic kinematic anomalies (SPARC catalog) without dark matter via a macroscopic cavitation constant (\gamma = 0.1756). Furthermore, this model demonstrates that this parameter is not an adjustable local variable. It is mathematically derived from the macroscopic vacuum viscosity (\eta \approx 24.04 s⁻¹) extracted directly from the ringdown phase of gravitational wave events (LIGO/Virgo GWOSC), coupled with the fine-structure constant. The model's predictive power is also observationally tested against the behavior of antimatter (Fermilab / ALPHA-g anomalies). By substituting cosmic anomalies with equations of state rigorously calibrated against open-source observational data, SFT lays the groundwork for a fully thermodynamic understanding of gravity.