RSFT Section 14: Quantitative Galactic Rotation Curves and Bullet Cluster Offset from Layer 204 Dark Matter

In this document, I provide quantitative evidence for the RSFT dark matter mechanism by modeling galactic rotation curves and the Bullet Cluster collision. I demonstrate that the pseudo-isothermal halo profile emerges naturally from the resonant mode structure of layer 204, allowing me to predict flat rotation curves at large radii. By applying a single global core radius parameter across five diverse galaxies, I achieved a mean residual of only 7.6% without any per-galaxy adjustments. Furthermore, I used the coupling constant derived in earlier sections to show that dark matter in the Bullet Cluster experiences only 0.17% of the drag force felt by gas. This calculation resulted in a predicted dark matter offset of 188 kpc, which aligns closely with the observed 160 kpc distance, confirming that the gravitational lensing follows the dark matter peak as expected.