On Sat, Feb 8, 2025 at 3:47 AM Alan Grayson <[email protected]> wrote:

*> I can't recall on which thread I made the argument, and Clark agreed,
> that if the universe has a finite age, it cannot be infinite in spatial
> extent.*


*That's not quite what I agreed to. If it has a finite age then the
observable universe can't be infinite in spatial extent, but no cosmologist
believes that the observable universe is the entire universe, despite the
fact that it's impossible even in principle to ever see it.*



> * > Isn't there a theorem, which might have been proven by Penrose, that
> the contracting universe must converge to a point or zero volume containing
> all matter and energy? What is the name of that theorem, assuming it
> exists?  AG*


*Some call it the Penrose Singularity Theorem, in 1965 Penrose used
topology to prove that any sufficiently dense object must form a Black
Hole, he won the Nobel prize because of it. It was the first time anyone
had found a use for topology in physics.  *

  *John K Clark    See what's on my new list at  Extropolis
<https://groups.google.com/g/extropolis>*
tiu

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