On Wednesday, March 19, 2025 at 8:22:35 AM UTC-6 Quentin Anciaux wrote:

Yes, if we extrapolate the standard Big Bang model backward in time, the 
density increases everywhere without bound as T approaches zero. In an 
infinite universe, this means every region, even in the unobservable part, 
reaches arbitrarily high density simultaneously. This is why the Big Bang 
is often described as a singularity in time, not in space—it’s not a 
localized point, but rather a state where all of space was at infinitely 
high density at the same time.

 
That's what I recall, but it seems ridiculous so I didn't want to state it. 
AG

However, in modern cosmology, the singularity at T=0  is generally 
considered an indication that our current physical theories break down 
rather than an actual point of "infinite density everywhere." Quantum 
gravity effects (which we don’t yet fully understand) would likely smooth 
out this singularity, preventing true infinite density. Inflationary models 
also suggest that what we call the "Big Bang" may not be a singular 
beginning but instead a transition from a pre-existing state (such as a 
quantum fluctuation, an eternal inflation scenario, or a bounce from a 
prior contracting phase).

So, while classical general relativity predicts a singularity of infinite 
density everywhere as T -> 0, most physicists suspect this is a limitation 
of the theory, and quantum gravity will provide a more complete picture.

 
I personally doubt there will ever be a quantum theory of gravity. A 
repulsive fifth force seems like a simpler possible solution. Is there any 
substantive objection to this conjecture? AG 


Quentin 

All those moments will be lost in time, like tears in rain. (Roy 
Batty/Rutger Hauer)
Le mer. 19 mars 2025, 15:13, Alan Grayson <[email protected]> a écrit :



On Wednesday, March 19, 2025 at 6:44:47 AM UTC-6 Quentin Anciaux wrote:

Well guess I have to use my fingers for you... you know any decent email 
client has a search function:


AG, your statement "density can't diverge unless volume goes to zero" 
assumes a finite volume, which doesn’t apply in an infinite universe. In an 
infinite universe, density can increase indefinitely everywhere without 
requiring a total volume to shrink.


Brent is correct that the observable universe (the region we can see) 
shrinks as we go back in time, but that doesn’t mean the entire universe 
(including the unobservable part) does the same. The observable universe is 
just a region within an infinite space, and as we go back in time, the 
light cone that defines what we can observe gets smaller.

If the entire universe is infinite, its total volume remains infinite at 
all times—but its density can still increase without bound. There’s no 
contradiction.


If average galactic distances decrease as we go back in time, the density 
increases locally everywhere without limit in the unobservable region. 
Won't this be a singularity of infinite density everywhere as T decreases 
to zero? AG


Quentin 

This is *one* of numerous answers given.

All those moments will be lost in time, like tears in rain. (Roy 
Batty/Rutger Hauer)
Le mer. 19 mars 2025, 12:56, Alan Grayson <[email protected]> a écrit :



On Wednesday, March 19, 2025 at 5:40:48 AM UTC-6 John Clark wrote:

On Wed, Mar 19, 2025 at 4:30 AM Alan Grayson <[email protected]> wrote:

*> If the universe is infinite in spatial extent, and we run the clock 
backward, is all  the mass/energy of the observable region confined to a 
tiny or zero volume?*


*The short answer is nobody knows what will happen if you run the clock 
back to zero, and the mystery remains regardless of if the universe is 
finite or infinite. Nobody knows what will happen when things get super 
small because our two best physical theories, Quantum Mechanics and General 
Relativity, disagree with each other. Most believe that something will 
prevent a zero volume from ever occurring, but nobody knows what that 
"something" is.  *

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


Maybe it's a 5th force. What I'd like to know is this; assuming an infinite 
spatial universe and that it gets very very small as we run the clock 
backward, the observable regions shrinks, but what happens to the 
unobservable region? Quentin claimed to have an answer, but I can't recall 
what it was. AG 

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