bapowell said:
It's not so much that our models "say so" as it is a result of the differential geometry of curves and surfaces. Curvature, including time-dependent expansion, can be consistently defined for manifolds without the need to embed them in higher-dimensional space. If we take general relativity to be our theory of large-scale gravity, then this amounts to the interpretation that the universe as a 3+1 dimensional manifold need not exist in a higher dimensional space. Of course, there could be such a higher-dimensional space, but it is not required by consistency of the theory. Nobody is forced into this position because our models just happen to be this way.
The irony is I'm the one who actually does say there are only 3 dimensions (plus time). Not long ago I came into a "fight" where I was actually defending big bang hypothesis and and its 3+1 dimension description (yes, I know none would believe me this here on these forums). It's simply not needed to exist higher dimension than 3d+time, and actually 3d dimensional manifold is capable being absolutely infinite without going into any higher dimensions.
However, when I the BB hypothesis I'm not talking about higher dimensions or anything like it I'm simply saying that there is no way that there was nothing before and beyond the big bang.
If by definition and models and whatever else, the BB started the universe, it may started this 3d space (which is not empty at all), but it did not start space in which it occurred.
You can call this empty space/black void, but according to physics, if I understand correctly space is merely the distance between the objects, I'm fine with this.
But also it would not be possible without space where this objects are moving away from each other, expanding universe ma perhaps create its own space while it expands, however, that outside of the universe space is already omnipresent, and this is why the universe and everything inside the expanding universe and every object or light, including this "space-time" in the universe expands-it cannot expand if there is nothing outside the universe.
Also, the other problem is that we can only observe visible part of the universe with our most powerful telescopes, we cannot observe entire universe (beyond the visible part of the universe), since there is no way we can detect it and observe it, so the question still remains how exactly large is entire universe, not just this observable part of the universe, and if the expansion of the universe itself is real.
It's similar like Earth, if Earth was expanding everything inside the horizon would expand, but it can expand because there is outside space in which Earth can expand into.
Plus energy of the BB that created entire universe and everything in it, is the one thing that is outside of the expanding universe (and it created Big Bang and entire universe afterwards).
All the best.