I am starting to look at the papers written about how the cosmic radiation is correlated with some assumed (or not) process. I may not get far, I may just say, who cares in the end. But here is my approach, the same as always:
I assume the CMB we see is a result of maximum entropy encoders via a series of phase changes during the arrival process. But the result is still a maximum entropy encoding, and is still the most orthogonal lines of symmetry necessary for local telescopes to collect the measurements. It is, in essence, the best set of axis available to describe the processes that delivered the stuff.
That symmetry should look like a group of Planck radiators of various orders, easily modelled. But at least it is the best orthogonal axis we have, and the mostly likely orthogonal axis that can describe a set of phase changes along its path. I think Weinberg comes is coming to the same conclusion.
Now, the Big Bangers want that orthogonal set of axii to converge to a a single radiator, crammed by space curvature. Then they want to discover that moment in which this single radiator split into multiple radiators, all of the same temperature, because that tells them the distribution of matter at some phase change in their theory. But they can do no better than to reverse the processes in units of symmetry presented by the CMB today, assuming the laws of physics trend toward maximum entropy.
It seems to me the Big Bangers are in worse shape if they find the CMB predicts a uniform expansion regardless of matter density, as that would violate a whole bunch of their laws of physics. My best advice is take it as it comes, they are likely to show a more reasonable set of expansion phases if the laws of physics are maintained along the way.
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