We present a phenomenological method for predicting the number of Flat
Spectrum Radio Quasars (FSRQs) that should be detected by upcoming Square
Kilometer Array (SKA) SKA1-MID Wide Band 1 and Medium-Deep band 2 surveys. We
use the Fermi Blazar Sequence and mass estimates of Fermi FSRQs, and gamma-ray
emitting Narrow Line Seyfert 1 galaxies, to model the radio emission of FSRQs
as a function of mass alone, assuming a near-Eddington accretion rate, which is
suggested by current quasar surveys at z > 6. This is used to determine the
smallest visible black hole mass as a function of redshift in two competing
cosmologies we compare in this paper: the standard LCDM model and the R_h=ct
universe. We then apply lockstep growth to the observed black-hole mass
function at z=6 in order to devolve that population to higher redshifts and
determine the number of FSRQs detectable by the SKA surveys as a function of z.
We find that at the redshifts for which this method is most valid, LCDM
predicts ~30 times more FSRQs than R_h=ct for the Wide survey, and ~100 times
more in the Medium-Deep survey. These stark differences will allow the SKA
surveys to strongly differentiate between these two models, possibly rejecting
one in comparison with the other at a high level of confidence.Comment: 8 pages, 5 figures, 3 tables. Accepted for publication in MNRA
