Neutral Hydrogen Tully Fisher Relation: The case for Newtonian Gravity
  Intrinsic luminosities are related to rotation velocities of disk galaxies by
Tully Fisher (TF) relations. The Baryonic TF (BTF) relation has recently been
explained with Dark Matter and Newtonian Gravity as well as Modified Newtonian
Dynamics (MOND). However, recent work has pointed out that the currently used
BTF relation ignores the contribution from hot gas and oversimplifies complex
galaxy-scale physics. In this Letter, we advocate the use of the Neutral
Hydrogen TF (HITF) relationship, which is free from dust obscuration and
stellar evolution effects, as a clean probe of gravity and dynamics in the weak
field regime. We incorporate the physics of hot gas from supernova feedback
which drives the porosity of the Interstellar Medium (ISM). A simple model that
includes supernovae feedback, is generalized to include a parametrized
effective gravitational force law. We test our model against a catalogue of
galaxies, spanning the full range of disks from dwarf galaxies to giant
spirals, to demonstrate that a Kennicutt-Schmidt (KS) law for star formation
and simple Newtonian gravity is adequate for explaining the observed HI scaling
relations. The data rules out MOND-like theories, within the scope of this
model.
