Abstract
Abstract
Investigating rotation curves and the Tully–Fisher ratio within galaxies represents a central theme of extensive research and scientific interest. Despite several theoretical models, a comprehensive explanation of the observed correlation between galaxy types and their rotation curves remains elusive. This study endeavors to bridge this knowledge gap by delving into the discernible connection between the presence of dark matter and galaxy classification. By meticulously examining the gravitational field’s dependency on its source’s point symmetry, we introduce a novel theoretical framework that offers a coherent rationale for these empirical findings. Our proposed model explains the appearance of dark matter as a direct consequence of the reduction of point symmetry in gravitational systems. Neither arbitrary systems with a high mass density nor a perfectly spherically symmetric mass distribution give the observable effects of dark matter. Special attention was paid to the axial symmetry scenario as a reasonable approach for modeling the mass distribution in most galaxies. We thoroughly analyzed, showing strong agreement with experimental observations for dwarf, Sb, and Scd galaxies. Thus, our study provides a compelling theoretical foundation for elucidating the intricate interplay between galaxy types, rotation curves, and the presence of dark matter, shedding new light on the dynamics of the cosmos.