One of the main efforts of this research, is to highlight the true nature of gravity as born out of the geometric potentials discussed here. We argue, that geometric potentials possessing dualistic attractive and repulsive force fields are responsible for the equilibrium and non-equilibrium dance of matter in the cosmos. The spin of these geometric potentials dictates the shape of the galactic structures, and the density maps or matter distribution patterns in these cosmic structures are intertwined to such potentials. The previously hypothesized 1/r gravitational potential falls short of detailing the true nature of galactic and solar matter, to which the geometric field theory offers a grand unification scheme for explaining the exact nature of heavenly bodies. These potentials solve the long standing riddles related to dark matter, dark energy, black holes and other cosmological structures in the observable universe. Galactic matter simulations performed in this research, render an exact picture of planetary and galactic systems while explaining that dark matter and dark energy are in fact only extensions of geometric potentials and their expanse till infinity.