Engywook:
The universe could be flat, or it could be ever-expanding, but that doesn’t destroy the balloon analogy at all. Space still could be fully connected in the balloon surface sense, and yet the expansion is occurring quickly enough that some parts of the balloon are moving away from us (along the surface) at faster than the speed of light.
Only in that sense is there an edge – but its an edge to observability, not an edge or skin of the universe.
This corresponds to your case 2, in a sense, but the thing is, its not like you hit a wall. It’s simply a place you can’t catch up to. From your perspective, no matter where you are, or how fast you’re going, you still can’t see any sort of edge.
Your case 1 makes no sense in a universe as we’re describing (and as we seem to be in). You keep thinking of the universe as having a distinct skin boundary from which you can measure.
The problem is, no such edge exists, and for everybody that ‘point of unobservability’, if it exists, is different. Me, in the Milky Way, can see some portion of the universe, but my brother Bob, in Andromeda, can see a slightly different portion of the universe. Neither of us is in the center. There is no universal skin.
To see this on the balloon, put yourself at one point, and measure out (along the curve of the balloon) some fixed distance. Put your brother Bob at another point, and measure out (along the curve of the balloon) some fixed distance.
There’s still no ‘boundary’ to the universe. A straight line still ends up going on forever without impacting any real wall. There may be a fixed distance that you can see because of the expansion, but that doesn’t change the topology of the universe.
None of this leaves us in a flat universe that has an edge. The connectedness may not be visible as curvature we can see in our paltry 3 dimensions.
Let’s put it another way.
As you blow up the balloon, various points on the balloon that you could see at some point in time seem to get further apart at another point in the future. (Dot the balloon with a marker).
The initial explosion of the universe is what keeps the universe expanding (possibly augmented by some sort of expansive force, speculated on by people), but for whatever reason, the balloon is being blown up.
The rate at which the balloon is being blown up is slowing due to gravity.
Each of the marked points on the balloon can be considered a galaxy, if you will, all emitting light.
Pick a point on the balloon where you are.
If the universe is expanding slowly enough, then light from the most distant possibly ‘galaxy’ on the balloon will be able to make it to you. This means that all points in the universe are visible.
If the universe is expanding just barely quickly enough, then the furthest possible galaxy on the balloon will be emitting light that, after an infinite amount of time, will reach you. This is sort of the cusp situation. This still means that all points in the universe are visible, except possibly for an infinitely thin region that is the furthest point away from you.
If the universe is expanding faster than that, then the furthest possible galaxy on the balloon will emit light that will never reach you. It cannot affect you in any way. Although you cannot see it, it may still exist, but you have no way of ever ever proving it. Ever. You can’t get to it, and it can’t get to you. This means that some parts of the balloon are not visible to you.
However, and here’s the important bit: None of this implies any sort of edge to the universe, except for the visible observable edge.
Okay, so you claim there’s still an edge.
Well, you can make the exact same claim at any point on the surface of the balloon.
So where’s the ‘center’ on the surface of the balloon?
There isn’t one.
Every point in the universe is the center of their own ‘observable universe’.
There’s no necessity to invent ‘skins’ or ‘edges’ or ‘buffers of empty meaningless space’, etc.
Now you might claim that anything that cannot affect us doesn’t exist, and I might not be able to debate that point. I’m merely pointing out that you don’t need to construct any sort of fixed edge or center or anything.