Potential paradox with the Big Rip and the Multiverse? I came up with this confusing theory a few years ago, but did not ask it on this site. If the Big Rip and the Multiverse theories are true, then when the Big Rip occurs, the universe's size will expand to infinity. However, the size of the Multiverse is also infinite (supposedly), and there are an infinite number of universes (also supposedly), then there is a paradox of infinities. I am still rather confused about this paradox, and is there a work-around to it, or is this completely invalid?
I don't know whether this is a real paradox. Infinities are tricky :) For example, we don't have just one infinity. Also, our knowledge about the universe is too narrow too understand the system of our universe (or multiverse) and we can only imagine the universes as some balls which are expanding into some other space = multiverse. If multiverse exists, it is probably not some space with some balls in it. There are a lot of dimensions that are present in here.
So, this isn't a paradox: we shouldn't think about the universes as some physical objects expanding. But we also don't know what to imagine. We just haven't figured it out. But it is probably a lot different from our current physics, math and imagination.