Eliminating Dark Matter: Wave Geometry in the Time Field Model as an Alternative for Galactic Dynamics

We demonstrate that the Time Field Model (TFM) accounts for galactic rotation curves through spacetime geometry distortions, eliminating the need for dark matter. Building on baryogenesis (Paper #12), we derive parameters λ and β from first principles and validate them against NGC 3198’s rotation curve. This work establishes TFM as a viable framework for galactic dynamics, with gravitational lensing and cosmic structure formation deferred to future study. We also expand the mathematical derivations in an appendix, detail the χ² methodology for multiple galaxies, and discuss current limitations regarding clusters and large-scale structure.