The basic idea is that redshift is produced by inelastic scattering of light with atoms and molecules. This effect is evidently real but works only if the density of atoms is large enough. Quoting Marmet's paper. This density would require totally new physics and one should give up Einstein's theory totally in cosmological length scales. Unfortunately, the article did not consider the plasma model for galaxy formation that Stephen mentioned.
Article contains some empirical anomalies as arguments against standard cosmology.
Astronomer Halton Arp's 1987 book Quasars, Redshifts and Controversies provides an extensive review of them, as does a lengthy 1989 review article by the Indian astrophysicist J. V. Narlikar. Many other papers indicate that non-velocity redshifts have been observed. TGD provides explanation for these objects as images of one and same object. This effect would be one experimental signature of TGD based model of large voids surrounding cosmic strings and containing galactic cosmic strings at their boundaries. The existence of the 3 K microwave radiation is no longer valid evidence for the Big Bang.