The geometry of the universe is hard to wrap one’s mind around, but there doesn’t seem to be an “edge” that is expanding “into” something.
All points in the universe are equally considered the center, because from what we can tell, there is no absolute center. So, I don’t think the universe is expanding “into” anything, because we have not been able detect that *our* region is heading into some new foreign territory.
The universe appears the same to us in all directions, and all regions are relatively equal. The distance between all regions just happens to be increasing.
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