## infinite universe and big bang singularity

Hello. Cosmologists leave open the possibility that the universe as a whole may be infinitely big. My question is, does that mean that the entire infinite universe was compressed into the initial singularity? And how can a universe go from a singularity to being infinitely big in a finite time?
 "Singularity" doesn't mean "point in space", it refers to a mathematical phenomenon that signals that our models no longer work (or, at least, probably don't describe physical reality). A singularity is a quirk of the equations, not an actual, physical "thing".

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 Quote by kuartus4 Hello. Cosmologists leave open the possibility that the universe as a whole may be infinitely big. My question is, does that mean that the entire infinite universe was compressed into the initial singularity? And how can a universe go from a singularity to being infinitely big in a finite time?
To add to what Number Nine said, the universe is known to have been MUCH smaller at one Plank Time after the singularity than it is now, but it MIGHT have been infinite then (which of course implies infinite now). If it was not infinite then, it is not infinite now.

Our observable universe (currently some 90+ billion light years in diameter) at that time is stated in various reports as sizes ranging from a golf ball down to much smaller. Reports that put it as a point are patently ridiculous.

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## infinite universe and big bang singularity

 Quote by Number Nine "Singularity" doesn't mean "point in space", it refers to a mathematical phenomenon that signals that our models no longer work (or, at least, probably don't describe physical reality). A singularity is a quirk of the equations, not an actual, physical "thing".
Well said. Thanks, it's an important message to get across to new members. People get fooled by the word "singularity" because it sounds like it refers to a "single point". But instead it refers to a failure of some man-made mathematics. History shows that in the past physicists have gotten rid of singularities in various other theories by improving the equations so they don't blow up. Now they are working on curing the singularity that occurs in the conventional model of the cosmos, right at the start of expansion.

An equation does not necessarily fail at a single isolated point. It can fail everywhere along a wide frontier--at infinitely many points. In which case the singularity is said to occur throughout the whole region where the model breaks down.

As Phinds rightly indicated, it is logically possible that our universe began expanding with an infinite volume. It would necessarily have begun infinite if it is spatially infinite today. We do not yet know whether to consider space finite or infinite. The region we are now looking at is evidently not the whole thing.
 Recognitions: Gold Member Science Advisor Describing singularities in general in GR is a problem let alone trying to describe them physically (not that I think singualrities are physical). That said some singualrities do, for example, resemble points in space. An infinite universe is always infinite until the point of the singularity; however at the singularity all distances between objects, no matter how far apart they are later in time, goes to zero.

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 Quote by jcsd ...at the singularity all distances between objects...
At the classical model's singularity, distances between objects are not defined. What "objects"?
The model blows, it no longer applies to nature and it is meaningless to talk about distances between objects being this that or the other thing. That's my take on it. If you want to imagine differently, fine.

There are now rival models, waiting to be tested, which go back further in time to before the start of expansion, where the classic 1915 model blows up. I'd guess you know about them and currently which are getting the most research attention.
In the new models it is NOT true that all distances are zero at the start of expansion.
However with the new models at least you might be able to talk meaningfully about that kind of stuff. What the highest density is, that is reached at the moment the bounce happens, and so on...

The idea of objects and distances between them is somewhat nebulous under the circumstances, but the energy density (how much crowded into a unit volume) is finite and well-defined and can sort of take the place of the "distance between objects" idea.

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 Quote by marcus At the classical model's singularity, distances between objects are not defined. The model blows, and it is meaningless to talk about distances between objects being this that or the other thing. There are now rival models, waiting to be tested, which go back further in time to before the start of expansion, where the classic 1915 model blows up. In the new models it is NOT true that all distances are zero at the start of expansion. However with the new models at least you might be able to talk meaningfully about that kind of stuff. What the highest density is, that is reached at the moment the bounce happens, and so on...
I said "go to zero" (well I actually made a gammatical error due to editing and said "goes", but that's neither here nor there).

edit: just to make this clear I am saying that as t->0 where 0 is the big bang singualrity d->0 (where is d is the distance between any two objects).

 Quote by jcsd at the singularity all distances between objects, no matter how far apart they are later in time, goes to zero.
This is valid for finite distances but in an infinite universe there are also infinite distances.

 Quote by DrStupid This is valid for finite distances but in an infinite universe there are also infinite distances.
Eh...that's a touchy issue. Even on the plane (which is infinite), any two defined points have a finite distance between them. It's entirely possible that two points could never reach each other (say, due to FTL expansion), but the distance between any two points is finite.

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 Quote by DrStupid This is valid for finite distances but in an infinite universe there are also infinite distances.
No there are no infinite distances, even in an infinite Universe- in standard big bang theory anyway

 Quote by jcsd No there are no infinite distances, even in an infinite Universe- in standard big bang theory anyway
Assuming we have n+1 points in a row with equal distances dr. Than the distance between point 0 and point n is r=n·dr and the limes of r for n->oo (this is possible in an universe with infinite size) is infinite.
 Does the observable universe make up 80% of the universe? Or 20%? I have heard different numbers..
 Nobody can't tell you that, there are some lower bound estimates which tells that hole thing must have some considerably larger volume then OU (hate to dig for exact number right now), but then again it can be infinite, which means that it is infinitely larger then OU.

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But assuming $n \in \mathbb{N}$ then n is never equal to ∞ and hence r is never equal to ∞ as well. Of course that doesn't conclusively show that there are non-existance of infinite proper distances in standard big bang cosmology, however it is the case.
 Quote by jcsd But assuming $n \in \mathbb{N}$ then n is never equal to ∞ and hence r is never equal to ∞ as well.