Critical Examinations of QSO Redshift Periodicities and Associations with Galaxies in Sloan Digital Sky Survey Data

We have used the publicly available data from the Sloan Digital Sky Surveyand 2dF QSO Redshift Survey to test the hypothesis that QSOs are ejected fromactive galaxies with periodic non-cosmological redshifts. For two differentintrinsic redshift models, namely the Karlsson $\log(1+z)$ model and Bell'sdecreasing intrinsic redshift (DIR) model, we do two tests respectively. First,using different criteria, we generate four sets of QSO-galaxy pairs and findthere is no evidence for a periodicity at the predicted frequency in$\log(1+z)$, or at any other frequency. We then check the relationship betweenhigh redshift QSOs and nearby active galaxies, and we find the distribution ofprojected distance between high redshift QSOs and nearby active galaxies andthe distribution of redshifts of those active galaxies are consistent with adistribution of simulated random pairs, completely different from Bell'sprevious conclusion. We also analyze the periodicity in redshifts of QSOs, andno periodicity is found in high completeness samples, contrary to the DIRmodel. These results support that QSOs are not ejected from active galaxies.Comment: 25 pages, 13 figures, accepted for publication in Ap