On Sun, Sep 15, 2024 at 3:26 AM Alan Grayson <[email protected]> wrote:

 > *I prefer approximately spherical compared to flat because as we go
> backward in time, we can enclose the universe in a sphere, implying it
> is finite in spatial extent (not infinite).*


*There is no such implication. If the universe is a 3-sphere then it could
be finite or infinite. A  3-sphere is a compact, connected, 3-dimensional
manifold without boundary embedded in 4-space, any loop on a 3-sphere can
be continuously shrunk to a point without leaving the 3-sphere.*

* > It then occurred to me that the Unobservable universe was plausibly
> created during Inflation, *


*NO. The rate of expansion during inflation was mind blowingly gargantuan,
but it was finite. If the universe was infinite before inflation then it
was infinite after it, and if it was finite before inflation then it was
finite after it.  *

*> to Alan Guth. I asked him, when he assumes the universe was around the
> size of a proton when Inflation began, was he referring only to the
> Observable universe,*


*I know for a fact Guth was referring to the observable universe because
he's a good enough physicist to know that a proton and the observable
universe have one thing in common, both of them are finite in size. And no
physical process can turn a finite thing into an infinite thing. *

* > or both hypothetic parts, Observable and Unobservable. *


*If the universe has any curvature at the largest possible scale it is
unobservable, and if you insist that postulating that something you cannot
observe and will never be able to observe nevertheless exists is
unscientific, then you would have to conclude that the pope was right and
Galileo was wrong because the Earth really is the center of the universe.
Do you really want to insist on that?  *
  John K Clark    See what's on my new list at  Extropolis
<https://groups.google.com/g/extropolis>

uss



>

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