On Friday, September 20, 2024 at 2:23:10 PM UTC-6 John Clark wrote:

On Fri, Sep 20, 2024 at 11:09 AM Alan Grayson <[email protected]> wrote:

*> Proof by Contradiction: If the universe is infinite in spatial extent, 
and came into being, that would be a type of singularity where it would 
have to instantaneously expand infinitely in spatial extent.*

s
*This entire business started by you asking what would happen at T=0 if the 
universe started running backwards and obviously, regardless of if space is 
finite or infinite, space would have to expand infinitely fast because at 
T=0 it would have a zero amount of time to expand from nothing to 
something.*


*Not exactly. *

*I figured that since the universe is expanding, we could run to clock 
backward and imagine enclosing it in a sphere, say, establishing that it is 
finite, hence **NOT** flat, since flat implies infinite in spatial extent. 
IOW, we can prove the universe is NOT flat using a purely logical argument. 
No need to do any measurements. I sent this analysis to a professor 
emeritus whose main interest is in cosmology who is associated with Case 
Western University. He replied that my analysis dealt only with the 
observable universe and that the universe could be infinite in spatial 
extent, presumably when one considers the unobservable part. I then 
realized that the unobservable part was very likely caused by Inflation, 
and therefore the entire universe would** remain finite** provided we ran 
the clock backward, prior to Inflation. **While considering these issues, I 
realized that a universe infinite in spatial extent must be uncreated, 
since no matter has fast it expands, and for how much time, it cannot 
expand to infinity in spatial extent. IOW, the concept of a created 
universe, one which comes into being, which is infinite in spatial extent, 
assumes a type of singularity which I believe is non-physical and can't be 
realized; namely, a universe which expands infinitely in spatial extent, *
*instantaneously**! So, the professor apparently doesn't realize that his 
critique of my original analysis implies that his claim that the universe 
might **be infinite in spatial extent, contains an implicit denial it had a 
beginning, called the Big Bang. In sum, I believe the universe, our 
expanding bubble, is finite, not flat in its global geometry, and had a 
beginning which we can call the Big Bang. **I haven't written him again to 
relieve him of his apparent misconception, though I might. However, I did 
write Alan Guth about a week ago, asking if he assumed the entire universe, 
or just the observable part existed, when Inflation began, at around 10^-35 
seconds after the Big Bang, when the universe was around the size of a 
proton, or possibly smaller. So far he hasn't replied. *

*AG*
 

*And yes that is a singularity however in physics, unlike pure mathematics, 
when you run into a singularity what that is really telling you is that 
there is some unknown physics going on that you don't understand, or don't 
understand well enough. Everybody knows something is wrong but nobody knows 
what. *

*By the way when people, like me, say that because of AI we're heading 
towards a Singularity they are using poetic license, things in general and 
society in particular won't really be changing infinitely fast, just faster 
than the human meat brain can comprehend. *

John K Clark    See what's on my new list at  Extropolis 
<https://groups.google.com/g/extropolis>  
e4b


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