Note: The equation below is the standard relativistic Doppler redshift equation.
However this equation is reproduced without relativity or a Doppler effect using
the recombination factor of Planck Particle Pairs.
The paper dealing with this is by Barry Setterfield and Dr. Daniel Dzimano,
and entitled
The Redshift and the Zero Point Energy. (PDF)
The Light Speed Curve
The following graphs shows three simultaneous
effects.
1. Redshift against distance. This can be seen on the bottom and right
hand axes. The redshift is abbreviated
as 'z'. The bottom horizontal axis indicates distance, with
where we are on earth now looking out further and further into space as
the arrow proceeds to the left. Astronomers
usually equate '1' with not only as far out as it is possible to see, but
with the origin of the cosmos.
2. Light speed against time. This can be
seen as per the left hand and upper axes. The
left hand axis shows the speed of light in terms often million times 'c'
now. The upper horizontal axis corresponds
to the lower horizontal axis but indicates time
instead of distance. Thus the 'here and now' are both on the right hand
side of the graph, with the upper axis
looking back in orbital, or dynamical, time as it goes to the left in the
same way that going to the left on the lower axis represents going further
out from where we are now.
3. The graph also represents the rate of
ticking of the atomic clock against orbital time, although these axes are
not defined. The truth of the matter is, these are all the same curve.