On 2/8/2025 11:04 PM, Alan Grayson wrote:


On Saturday, February 8, 2025 at 3:26:33 PM UTC-7 Brent Meeker wrote:




    On 2/8/2025 12:47 AM, Alan Grayson 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. In response, Clark and Brent claimed
    it could've began as infinite. Isn't there a theorem, which might
have been proven by Penrose, that the contracting universe
    Only the observable universe, if I recall correctly.


Applying the Penrose-Hawking Singularity Theorem, running the clock backward implies the universe doesn't converge to a point of zero volume, but to a BH, and that's the whole universe, not just the observable universe. AG
Anything inside a non-rotating black hole, falls into the singularity, which classically is a point.  But that black hole is a spherically symmetry structure with an event horizon in an infinite asymptotically flat universe.  And that's also what the Penrose singularity theorem applies to, a structure embedded in an otherwise flat universe.  So it doesn't apply to a universe.  Furthermore, Roy Kerr says Penrose's proof makes unjustified assumptions in the case of rotating black holes and is invalid.

Brent


    Brent

    must converge to a point or zero volume containing all matter and
    energy? What is the name of that theorem, assuming it exists?  AG --

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