Galactic Hydrodynamics: Deriving Flat Rotation Curves from Recursive Flux Turbulence (The End of Dark Matter)

This monograph completes the cosmological unification of the General Static-Dynamic Recursive Information Space (GSDRIS) framework by addressing the anomaly of Galactic Rotation Curves. Standard cosmology postulates the existence of ''Dark Matter'' - an invisible, non-baryonic substance - to explain why stars at the galactic periphery orbit at velocities inconsistent with Newtonian dynamics ($v \approx const$ instead of $v \propto r^{-1/2}$).

Building on the Hydrodynamic Gravity model established in Paper 56, we propose that a galaxy is not merely a collection of discrete masses, but a coherent, macroscopic Recursive Vortex within the 5-dimensional information flux. We demonstrate that on galactic scales, the viscosity of the recursive medium cannot be neglected. The rotating baryonic mass entrains the surrounding flux, creating a vast region of Flux Turbulence (the Halo).

We analytically derive the Vacuum Navier-Stokes Equation for this system and show that the pressure gradient generated by the vortex sustains high orbital velocities at large radii without the need for additional mass. Furthermore, we derive the Baryonic Tully-Fisher Relation ($M \propto v^4$) from first principles of power balance. Thus, Dark Matter is identified not as a particle, but as the Kinetic Energy of the Vacuum itself.