Paper 21: Replacing Dark Matter with Coherence: Galaxy Rotation from Angular Strain in the Holosphere Lattice

Galaxy rotation curves have traditionally been interpreted through the lens of Newtonian gravity and dark matter halos. In this paper, we present an alternative explanation based on Holosphere Theory, which models space as a discrete lattice of rotating coherence units. Orbital velocity arises from radial and angular coherence strain rather than from enclosed mass. We introduce an updated velocity equation that incorporates exponential angular coherence decay, modeling how phase alignment weakens with distance. This strain leakage mechanism naturally explains flat and tapered rotation curves without invoking dark matter. The model unif ies inner velocity rise, mid-disk support, and outer decline using a single geometric framework. We fit this equation to three representative galaxies: NGC3198 (flat curve), UGC128 (slow rise), and DDO154 (dwarf LSB). In each case, the Holosphere model achieves sub-kilometer RMS residuals and outperforms standard CDM NFW profiles. No tuning of dark halos is required, and all f it parameters have physical interpretations derived from lattice geometry. This work demonstrates that coherent angular strain in a rotating medium can fully replace gravitational mass in explaining galaxy rotation [9]providing both a more precise and ontologically grounded alternative to dark matter