  A model of the universe as proposed by Allen Rothwarf based upon a degenerate
Fermion fluid composed of polarizable particle-antiparticle pairs leads to a
big bang model of the universe where the velocity of light varies inversely
with the square root of cosmological time, t. This model is here extended to
predict a decelerating expansion of the universe and to derive the Tully-Fisher
law describing the flat rotation curves of spiral galaxies. The estimated
critical acceleration parameter, aoR, is compared to the experimental, critical
modified Newtonian Dynamics (MOND) cosmological acceleration constant, obtained
by fitting a large number of rotation curves. The present estimated value is
much closer to the experimental value than that obtained with the other models.
This model for aR(t) allows the derivation of the time dependent radius of the
universe as a function of red shift Other cosmological parameters such as the
velocity of light, Hubble's constant, the Tully-Fisher relation, and the index
of refraction of the aether can also be expressed in terms of redshift. This is
compared with the statistical fitting for Veron-Cetty data (2006) for quasar
red shifts and good agreement is found. This model also determines the time
and/or redshift dependence of certain electromagnetic parameters, i.e., the
permittivity; the permeability ; and index of refraction of free space. These
are found to be useful in various cosmological theories dealing with light
passing through media in motion.
