Radial Acceleration and Tully-Fisher Relations in Conformal Gravity
  In 2016 McGaugh, Lelli and Schombert established a universal Radial
Acceleration Relation for centripetal accelerations in spiral galaxies. Their
work showed a strong correlation between observed centripetal accelerations and
those predicted by luminous Newtonian matter alone. Through the use of the
fitting function that they introduced, mass discrepancies in spiral galaxies
can be constrained in a uniform manner that is completely determined by the
baryons in the galaxies. Here we present a new empirical plot of the observed
centripetal accelerations and the luminous Newtonian expectations, which more
than doubles the number of observed data points considered by McGaugh et al.
while retaining the Radial Acceleration Relation. If this relation is not to be
due to dark matter, it would then have to be due to an alternate gravitational
theory that departs from Newtonian gravity in some way. In this paper we show
how the candidate alternate conformal gravity theory can provide a natural
description of the Radial Acceleration Relation, without any need for dark
matter or its free halo parameters. We discuss how the empirical Tully-Fisher
relation follows as a consequence of conformal gravity.
