Does the mainstream reject the quantization of redshift?
Nope. Their explanation is concentric shells, or
primordial bubbles, which as luck would have it we apparently happen to be at the center.
Ptolemy would be proud.
Galaxy redshift abundance periodicity from Fourier analysis of number counts N ( z ) using SDSS and 2dF GRS galaxy surveys
A
Fourier analysis on galaxy number counts from redshift data of both the Sloan Digital Sky Survey and the 2dF Galaxy Redshift Survey indicates that galaxies have preferred periodic redshift spacings of Δz= 0.0102, 0.0246, and 0.0448 in the SDSS and strong agreement with the results from the 2dF GRS. The redshift spacings are confirmed by the mass density fluctuations, the power spectrum P(z) and N pairs calculations. Application of the Hubble law results in galaxies preferentially located on co-moving concentric shells with periodic spacings. The combined results from both surveys indicate regular co-moving radial distance spacings of 31.7±1.8 h−1 Mpc, 73.4±5.8 h−1 Mpc and 127±21 h−1 Mpc. The results are consistent with oscillations in the expansion rate of the universe over past epochs.
We know that
electromagnetic emission/absorption is quantized so it makes sense to see the quantization of redshift from objects at quantized stages of emission/absorption.
As for the "bridges," "tails," and "jets" that appear to connect objects of different redshifts, how can astrophysicists claim with a straight face that these are merely appearances?
They
are detected in wavelengths
outside the visible spectrum as well. They just keep makin' stuff up as they go along to explain away so called "anomalies".
For example. There is a recent
paper defending lambda cold dark matter based on the "anomalies" in the measured CMBR being statistically insignificant somehow, in their model with at least
six adjustable parameters.

click image for larger view
Figure 17. The “SH” initials of Stephen Hawking are shown in the ILC sky map. The “S” and “H” are in roughly the same font size and style, and both letters are aligned neatly along a line of fixed Galactic latitude. A calculation would show that the probability of this particular occurrence is vanishingly small. Yet, there is no case to made for a non-standard cosmology despite this extraordinarily low probability event. It is clear that the combined selection of looking for initials, these particular initials, and their alignment and location are all a posteriori choices. For a rich data set, as is the case with WMAP , there are a lot of data and a lot of ways of analyzing the data. Low probability events are guaranteed to occur. The a posteriori assignment of a likelihood for a particular event detected, especially when the detection of that event is “optimized” for maximum effect by analysis choices, does not result in a fair unbiased assessment. This is a recurrent issue with CMB data analysis, and is often a tricky issue and one that is difficult to overcome.
Hey I see the symbol for pi at the two o'clock position near the central void....oh oh, and one of the monsters from space invaders on the far right...OMG, across the top it says "resistance is futile", oh the humanity.