A pulsing motion of what sort, and how tightly do you draw a line around 'big bang'? We can see by direct observation that things have been continually getting further apart for the past 13-odd billion years or so, and the earliest thing we can see is consistent with there not being a whole lot of structure before then.
Even if the behavior in the very beginning is different than we usually expect, that seems like a big bang to me.
What I have in mind is that it's just a local turbulence in a much larger structure, for example. It seems that we have very little data about a huge structure, so fitting any model to it at this point might give us a fairly large margin of error (especially since we extrapolate from a theory that we know that is incomplete).
What are your thoughts on this finding: http://www.caltech.edu/news/farthest-galaxy-detected-47761
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