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Originally Posted by lyndonashmore
The OT is how the BB derives a relationship for the Hubble constant and how this predicted value compares to the observed value.
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I thought I made this pretty clear in my first post. We observe the Hubble "constant" as an input parameter.
However, big bang models explain the observed distance red-shift relation pretty well, and can interpolate a distance from a red-shift or vice versa reliably. This includes the region where z=6, which is definitely non-linear compared to the local environment. So to that end:
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how does this predicted value agree with the observed one?
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It agrees perfectly, because it IS the observed one. The expanding universe cosmologies have their parameters tuned to match this observation.