On Sat, Jan 25, 2020 at 9:09 AM John Clark <[email protected]> wrote:

>
> And I've heard a bunch of bad analogies but I still haven't heard a direct
> answer to my question:
> What is the difference between a "finite" universe that is expanding and
> accelerating forever and an infinite universe that is expanding and
> accelerating forever?
>

If you don't understand Brent's answer in terms of the range of values in
coordinate maps, then you will never understand the difference. A finite
universe has a finite range of coordinate values. Even if it is expanding
exponentially, the range of coordinate values only ever increases at the
same exponential rate -- i.e., never becomes infinite. In the case of an
initially infinite universe, the coordinate range is necessarily infinite,
and remains infinite even with expansion.

Bruce

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