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A Fourier analysis on galaxy number counts from redshift data of both theSloan Digital Sky Survey and the 2dF Galaxy Redshift Survey indicates thatgalaxies have preferred periodic redshift spacings of $\Delta z =$ 0.0102,0.0246, and 0.0448 in the SDSS and strong agreement with the results from the2dF GRS. The redshift spacings are confirmed by the mass density fluctuations,the power spectrum $P(z)$ and $N_{pairs}$ calculations. Application of theHubble law results in galaxies preferentially located on co-moving concentricshells with periodic spacings. The combined results from both surveys indicateregular co-moving radial distance spacings of $31.7 \pm 1.8$ $h^{-1} Mpc$,$73.4 \pm 5.8$ $h^{-1} Mpc$ and $127 \pm 21$ $h^{-1} Mpc$. The results areconsistent with oscillations in the expansion rate of the universe over pastepochs.

Galaxy redshift abundance periodicity from Fourier analysis of number counts $N(z)$ using SDSS and 2dF GRS galaxy surveys