On 2/12/2025 12:55 AM, Alan Grayson wrote:
If the age of the universe is finite, which is generally believed, then no matter how fast it expands, it can never become spatially infinite, So,*IF* it is spatially infinite, this must have been its initial condition at or around he time of the Big Bang (BB). But this contradicts the assumption that it was at a super high temperature at or around the time of the BB.
No it doesn't.  I can be infinite and high temperature.  What gave you idea it couldn't?

IOW, if we run the clock backward, the universe seems to get incredibly small,
If the universe is infinite, then it is only the Observable Universe that gets incredibly small.

Brent

and for *this reason* incredibly hot, roughly analogous to a highly compressed gas. Therefore, it cannot have a flat global geometry, since such a geometry is infinite in spatial extent. QED. AG

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