On Sunday, September 15, 2024 at 6:24:40 AM UTC-6 John Clark wrote:

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. *


*The sphere I am referring to is finite in spatial extent. AG *

*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.  *


*Why the "NO"? I completely agree with your comment and never intended 
otherwise. I am saying that if the universe was finite when Inflation 
began, it might have created an Unobservable but FINITE region as a result 
of Inflation. And then, if we run the clock backward, this FINITE, 
presently Unobservable region, will come back into view. AG *


*> 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.*


*Of course; I never stated otherwise! Note that a physicist holding a 
prestigious position at a US university disagreed that the universe might 
be finite before Inflation began, implying that Guth might NOT have 
considered the very early universe as finite. I asked Guth about this very 
issue. Hopefully, we'll get an answer.  AG *


* > 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?  *


*I tend to believe the universe is positively curved, but beyond our 
ability to distinguish curved from flat. I wasn't insisting on anything. I 
was just wondering what Guth assumed, finiteness or not, when Inflation 
began, given the physicist's critique of my conjecture. You seem to have an 
obsession in proving I am mistaken, when you obviously have no clue of my 
reasoning in this matter. I am just trying to determine Guth's intention, 
not claiming to be able to do the impossible, such as measuring something 
in the unobservable universe. AG*
 

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

uss



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