Evidence for Scale Factor Oscillations Observed in the Large Scale
  Structure of the Universe
  We present two independent analyses as further evidence that galaxy
clustering at scales of 500 Mpc and greater has a periodic time component
induced by oscillations in the scale factor at a frequency of approximately 7
cycles over one Hubble time. The scale factor oscillations were discovered in
previous work by analyzing the Hubble diagram for type 1a SNe data. In the
present work we analyze galaxy number count data from SDSSIII-BOSS, DR9 using a
simple oscillating expanding space model and also perform a Fourier analysis of
the same SDSSIII data set . The number distribution of galaxies on these scales
should be relatively smooth. However, a DR9 plot of galaxy number count per
0.01 redshift bin as a function of redshift shows significant bumps to redshift
0.5. Later releases show the same behavior. Our model fits essentially all
bumps at 99.8% confidence once the oscillation is included. A Fourier analysis
of the same number count vs. redshift data (processed only to convert redshift
to equal time bins) clearly shows the dominant 7-cycle signal at 15/1
signal-to-noise ratio. The DR9 galaxy number count peaks near redshift 0.5 and
then falls off due to target magnitude limitations. In our model we assume
ideal observation to all redshifts. The oscillation model displays a matching
peak at redshift 0.5, then falls, but continues on to rise predicting a second
peak at redshift 0.64. Confirmation of the second peak from future SDSSIV data
to higher redshift would further support our observation of oscillations in the
scale factor. The oscillations may derive from a scalar field model of dark
matter as shown in our earlier work.
