Geometric Asymmetry of Propagating Photon Beams and the Eradication of the Dark Matter Hypothesis

The Dark Matter hypothesis was artificially constructed to resolve discrepancies betweenKeplerian orbital mechanics and the observed flat rotation curves of galaxies. This paperdemonstrates that galactic mass is not missing; rather, the optical measurement of peripheralstellar velocities is structurally distorted. We introduce the non-symmetric photon beammodel within the Ternary Logic Manifold (M3). By mathematically defining the energycapture mechanics of propagating light across cosmic distances, we calibrate the Doppler shifterrors, rendering the existence of Dark Matter topologically impossible and mathematicallyunnecessary. No prior literature is cited.