I read a lot about M-theory and multiverses recently.
They are hypothetical notions with no evidence or standardized theory.
They are conjecture that some say is analogous to religious claims.
I cant say I find the theory to be cutting edge, if it was a scientific theory it would be nice, but it is not testable, so it becomes a religious theory as much as anything.
The universe is said to have a shape, though there is some disagreement as to what that shape is. It has according to most accepted theories, a center and an "edge" and at any given moment has a finite size.
It is said that our solar system is itself traveling very quickly as is the part of the galaxy we are in, it is not well accepted that everything is expanding away from everything, rather the theory is that it expands from a center correlated with what we hypothesis is the "big bang"
It is however very fascinating to read of all the far out theories that are being proposed these days, which are not testable and unsupported by evidence other than conjecture.
The idea of infinite dimensions is one such speculative proposition having no root in observable or testable data or fact. It makes a nice new-age concept though.
I'm open to any evidence supporting cosmological theories, but even string theory is not-testable, abstract and no standard theory or consensus exists for it. I love physics.