That seems very counter-intuitive. Energy usually comes from a difference between two things. How could there be uniform energy everywhere? It's paradoxical.
Exactly, and letting either of those two things to be 0 is effectively saying you’re measuring between one thing, which is a contradiction.
I'm not sure this follows. The set of positive integers is infinite. It means that there's always a larger integer, but it doesn't mean there's always a smaller one, or an infinite number of integers between 1 and 10.
Having four legs is accidental to being an animal, just as there being an infinite number of elements between any two elements in a set is accidental to its cardinality being infinite.
If it is as we suppose that the universe started all squeezed into a point at the beginning of time, and then explosively expanding out from there, then I don't see why we would expect a uniform distribution like that.
Wouldn't you run into the planck length at some point?
Nothing is infinite
It isn't infinite even if the universe is expanding forever - which is not commonly accepted as the big crunch exists as an idea.
Just bc we may never be able to see the whole picture doesn't mean there isn't one.
And it could change again. We’d all be dead before we knew what was happening.