A Dimensional Analysis of the Galactic Baryonic Tully-Fisher Relation
  with Comparison to MOND and Dark Matter Halo Dynamics
  Most rotationally-supported galaxies strictly follow the Baryonic
Tully-Fisher Relation (BFTR) linking circular velocity with baryon content.
This firmly established empirical relationship is currently thought to have
origins in either modified gravity or dark matter halo effects. In this work,
we construct a physically-based version of the BFTR founded on known scaling
relations, disk dynamics (acceleration, jerk and snap) that also reveals the
foundational elements responsible for this phenomenology. We employ the Milky
Way galaxy as an exemplar to quantitatively compare the two leading theories
against this improved version. Additionally, a dimensionless variant of the
BFTR is also provided which may permit its use as an analytic tool to aid in
the understanding of galactic dynamics.
