On Saturday, March 1, 2025 at 4:02:15 PM UTC-7 Quentin Anciaux wrote:

On the 26th and in other replies I did say:

As I've explained already, it's not that the volume goes to zero, but 
density that goes to infinity, everywhere, there is no valid notion of 
volume in an infinite universe. 

What is difficult to understand? 

Quentin 


I deleted that post. You must have replied to your email list.  But you 
misconstrued the question posed. As the density goes to infinity, the rate 
of expansion keeps increasing (but not to infinity), so how do the 
competing rates result in an ultra high temperature? I suppose it's because 
the first is unbounded and latter bounded. AG



Le sam. 1 mars 2025, 06:42, Alan Grayson <[email protected]> a écrit :



On Friday, February 28, 2025 at 1:22:43 PM UTC-7 Brent Meeker wrote:



On 2/27/2025 10:59 PM, Alan Grayson wrote:



On Thursday, February 27, 2025 at 4:17:13 PM UTC-7 Brent Meeker wrote:



On 2/26/2025 11:39 PM, Alan Grayson wrote:



If we assume an infinite universe and run the clock backward, is it 
reasonable to conclude that the singularity we imagine forming in the 
observable region, 

The singularity is not IN the observable region, it is the limiting origin 
of the observable region.

is identically the same singularity for the entire universe? Secondly, why 
do we imagine the hypothetical singularlty indicates the GR fails in this 
situation? After all, if the expanding universe is determined by 
measurements, and the average distances between galaxies decreases as the 
clock runs backward is also determined by measurements, what has this to do 
with GR, since it's all measurement determined? TY, AG 

You can't be so dense as to not know the difference between a measurement 
and an extrapolation.

Brent


I'm just saying that measurements suggest a singularity without applying 
GR. The reason the unobservable region is unobservable is because expansion 
in that region is faster than light speed. So if we run the clock backward, 
won't that region collapse faster than light speed, with the result that 
the entire universe converges to a single singularity? AG 

It depends I suppose on what "run the clock backwards" means.  It's 
unphysical to have spheres of outgoing radiation contract backward to a 
point as in playing a video backwards.  But if that's what you mean then 
yes the entire universe becomes infinitely dense, a singularity...but not a 
point, it's still infinite.

Brent


So, as we go backward in time, the observable universe seems to converge to 
a point, while the rate of expansion of the unobservable universe increases 
since the rate of expansion in earlier times was greater than it is at 
present? In this scenario, how could the unobservable univese reach an 
ultra high temperature as we approach the BB? AG  

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