Is the universe infinite?

[Anomalocaris]

With the 'edge' of the observable universe receding from us at near lightspeed, our hopes of (our descendants) ever reaching it are nil, and even if it was reachable, it turns out the view from there is equivalent to the view from here.

For hypothetical beings there (at the distant edge of our observable universe) looking our way, we are at the 'edge' of their observable universe, but we can cast our gaze further along their same sight line towards us, and note we see at the 'edge' of our observable universe what they see at the 'edge' of theirs. And you can keep doing this thought experiment further and further in that direction and never get to a region of the universe that is lopsided looking, implying an actual 'edge'.

So we have an infinite universe of finite age. Weird, huh ?

The assumption that the universe is more or less homogenous on a much larger scale than what we've observed, ie another observer at the edge of any particular observable universe will always see much the same thing as an observer in the middle, does not seem to be anything more than an assumption. It seems to me we don't have anything like an ability to form a comprehensive and accurate description of what can come out of the Big Bang, much less predict whether what came out of the Big Bang is really all there is.

I think it is fair to say we don't know if the universe beyond our visibility horizon is really uniform, similar to the part visible to us, and extends forever, or if it is nonhomogenous, and would become drastically different from the parts visible to us, including perhaps coming to an edge, or loop back to where we started, if we were able to go far enough.