Lets look at the pigeon hole infinite set problem in this way.
If gravity is a true force and has some magic property for instant communication and we have other universe then gravity will be felt by every universe from ours to infinity in different intensities.
If gravity is simply a compression of Quantum fluctuation then same result.
I live and decide to go for a walk one day.
My personal gravity moving alters my universe in a trivial way and ever other universe in a slightly more trivial way.
Now we have every universe altered but each differently.
If infinity was just a set of numbers then we could have infinite numbers of me walking on infinite earths.
But location of each universe in infinity alters how each is effected by me walking.
Me going for a walk on another exact same copy is impossible since i already walked and effected all other universes differently in doing so.
It's too big an 'IF' for me. Effects travel as particles or waves, which takes time. Even disturbances caused by quantum fluctuations, I guess, would travel as waves in the quantum field/foam or whatever space consists of, and so would still take a finite time.If gravity is a true force and has some magic property for instant communication and we have other universe then gravity will be felt by every universe from ours to infinity in different intensities.
If gravity is simply a compression of Quantum fluctuation then same result.
I do like the idea that everything affects everything else, but I don't think it''s instantaneous though.
I've still got some more options to post, to back our beliefs up, for the uniqueness of all universes