Philip7575 said:
Some of these comments are getting off-track, but that's the nature of any blog.
To summarize (at least what's in my head):
Our universe is finite but expanding. The space in our universe, for example, the distance between galaxies, is also finite but expanding.
Not quite...the "observable universe" - the tiny chunk of the universe that we can see - is finite. It's limited by how far light could have traveled in the amount of time that the universe has existed, with some extra complications thrown in by expansion. Basically, we can't see anything outside the observable universe because there
hasn't been enough time for light from there to reach us. So the amount of the universe we can see is finite.
As for the actual whole of the universe? In a sentence, we don't know if it's finite or infinite. This has to do with the curvature of spacetime, and the current data isn't precise enough to pin down which it is. So we don't know right now, and people work with both models - sometimes right alongside each other. Better data in the future might give us a clear answer.
But yes - either way, finite or not, it is expanding.
And yes - the distance between any given galaxies is finite but expanding.
Philip7575 said:
Our universe is expanding into something called infinite space.
And that's the ambiguity/imprecision: Space is used two different ways. No doubt, this is because of the limitations of language: There are many examples of phenomona, especially in quantum mechanics, that are impossible to visualize or grasp. This is another example.
Fair enough?
(Disclaimer: I am simply here transmitting conclusions which I understand to be true (from the FAQ, for example, which might help you), but have no knowledge of how to derive them)
No, there is no space outside the universe. The universe is not like a sphere, expanding at lightspeed into a bigger emptiness 'outside' of it. There is no 'outside' to the universe in the spatial sense. The universe, if it is infinite, has no edges. If it is finite, it also has no edges. This is similar to how the finite, 2d surface of the Earth has no edges. Except in 3d, which is not as easy to visualize.
This much answers (I hope!) your questions. The wall of text below is more for fun.
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(Disclaimer: now I am sharing an illustration I like to use, which is not based on data and is not accurate, but merely gives a sense of how a finite 3d space can have no boundaries/edges)
The way I like to visualize it is to imagine the universe as a cube filled with the stuff of the universe (superclusters of galaxies, filaments and voids, etc). You are in a transwarp spaceship inside of the cube (because you are in the universe). Pretend your spaceship goes as fast as you want, provided you clench your teeth and think really hard. ;)
So what happens if you fly out of the cube? Well, you don't, you simply come back in the other side. If you fly out the top side, you've just come up through the bottom side. If you fly out the east side, you've only just come in through the west, etc. So you can fly as far as you like any which way and you stay inside the universe.
Now, here's the cool part: you're not the only thing going out one side and coming in the other. The light (and gravity) radiated by all the stars, galaxies and whatnot also crosses sides in a similar way. So when you are approaching the east side of the cube, you are encountering the light that has just crossed the other way, going out the west side and coming in east. So you see ahead of you all the galaxies that are near the west side of the cube, even though you haven't left the east side yet. And when you actually cross out of the east side and come into the west, you are encoutering that same light. So when you "cross" from east to west, nothing changes visually. There is no jump or flicker in the image on your main screen. There wouldn't be any changes or brief interruptions in your ship's (or your body's) functioning. The transition would, if fact, be completely undetectable.
Crossing the "edges" of the universe is completely indistinguishable from not crossing them. Because of this, there is no way for you in your ship to map the "edges" of the universe, or find its center. In fact, you could pick any random point in the universe and arbitrarily define it to be the center, and figure out accordingly where the edges are, and it would work; you would have a functioning map. This is of course because, in fact, there
are no edges - they are simply a useful device for us to visualize what we otherwise can't understand - that space just "wraps back in on itself". Mysteriously, as far as I'm concerned. ;) But there's math for people who want to get it.
Differences between this illustration and reality
I stress again that the above is only an illustration, and reality (even if we did have a spaceship that could fly as fast as we want) would behave differently. Here are some of the ways they differ...
1. In the illustration, space is geometrically what one would call a "3-torus", the 3d counterpart of the
surface of a 2-torus, or doughnut shape. In reality, space is geometrically a 3-sphere, the 3d counterpart of the
surface of a 2-sphere, or (basket-, soccer, tennis) ball shape. All the other differences listed are based on this difference.
[PF veterans: if I screwed up any terminology here, please correct me!]
2. In the illustration, there are only six directions you can go that would bring you exactly back to where you started after "crossing the universe" once. That is, only if you go straight up, straight down, or straight north, south, east, or west. Visualize the cube: if you leave the center (works for any point, but take the center) going perfectly perpendicular to one set of faces of the cube, you will arrive exactly back at that point. If you leave the center going at a very slight angle instead, then you don't quite arrive back at the center after one lap. Depending on your angle, it could take an arbitrarily large number of laps to get back to the center. Not so with reality. Any direction you take will bring you back to your starting point with the same distance travelled.
To see the 2d analog of this, imagine a point on a doughnut's surface, say on the outer circumference. Only if you travel exactly around the outer circumference of the doughnut or exactly perpendicular to it will you end up back at your starting place. Travel any other angle, and you go crisscrossing all over the doughnut for who knows how long until you get back. Take a sphere, now, and select a point on its surface. From this point, you can travel any direction, and after 1 circumference-worth of travel, you end up back where you started.
3. (Directly following from 2.) In the illustration universe, there is actually something you could map by flying around, and that is the axes of the universe. A 3-torus universe would have 3 axes, which you could identify by finding out which directions, when flown, immediately bring you back to your starting point. In reality, there are no such axes, specifically because there is no difference in flying different directions.
[PF veterans: if you notice any other differences I missed, I'm curious to know what they are! Please do post them - thanks!]