The newest developments in the investigation of redshift quantization
and variability are summarized and several approaches to cosmological
models consistent with aspects of the data are discussed. The periodic
ities present when redshifts are referred to the Cosmic Background Rad
iation rest frame appear to be very precisely described by a series of
period-doubling sequences based upon the ninth-root of 2 times the sp
eed of light. Several examples of redshift quantization and variabilit
y are discussed to illustrate the periods, the CBR association and the
dependence upon galaxy properties. Possible cosmological models invol
ving properties of time, including a form of three-dimensional time an
d possible time networks, are introduced. Such models appear to have t
he potential to admit quantized and variable redshifts while remaining
consistent with local continuous physical theory.