R
ramparts
Guest
Sure, but that stops being relevant on the largest scales. In a universe like ours - that is, homogeneous and isotropic, or everything the same, at large scales - the expansion of spacetime is linked to the expansion of the stuff. As spacetime goes, so does the matter. It just doesn't make much sense to talk about spacetime as expanding while everything else isn't. Even if there were some stuff called spacetime which expanded independently of the stuff on it, it would be unobservable, meaningless.
Imagine, for example, that we lived in a universe where the total density was greater than the critical density - we'd say that the spacetime described a closed universe, and eventually it would recollapse on itself. You could counter that spacetime is not collapsing but actually expanding in the background (and somehow not affecting anything), but what would be the point? It would be both impossible to disprove and completely useless.
In fact, there's an interesting result in standard cosmology that the spacetime in an overdense patch of the universe - such as the kind that forms galaxies - behaves mathematically like the spacetime in a closed universe, or one whose expansion slows down and eventually leads to a collapse. That collapse is what forms galaxies
Imagine, for example, that we lived in a universe where the total density was greater than the critical density - we'd say that the spacetime described a closed universe, and eventually it would recollapse on itself. You could counter that spacetime is not collapsing but actually expanding in the background (and somehow not affecting anything), but what would be the point? It would be both impossible to disprove and completely useless.
In fact, there's an interesting result in standard cosmology that the spacetime in an overdense patch of the universe - such as the kind that forms galaxies - behaves mathematically like the spacetime in a closed universe, or one whose expansion slows down and eventually leads to a collapse. That collapse is what forms galaxies