Finite Gravity: From the Big Bang to Dark Matter

Abstract

<p> <span>The purpose of the present paper is to assume that the expanding spacetime of our cosmos was created by the big bang. It then follows that there exists a finite instantaneous radial extent <i>dR_U</i> to spacetime as observed from anywhere in spacetime by comoving observers. The consequences for gravity are explored by first considering the scalar field of a central mass that defines the dynamic properties of a circular orbit for each radius <i>R</i> ≤ <i>dR_U</i> under the postulate of weak equivalence. These properties include an orbital velocity and an escape velocity. For a central mass of galactic propor</span><span>tion, the escape velocity becomes large even at cosmological distances. By considering the dynamics of a smaller mass occupying the last orbit, we find that the established laws of physics lead to different rotation curves than they do when applied to the solar system. Since galactic rotation curves reveal the existence of dark matter, this is anticipated to have some consequences for our understanding of dark matter</span><span>.</span><span></span> </p