M-theory says that there's a Calabi-Yau manifold, representing $n = 7$ extra spatial dimensions (here simplified to $n = 3$; check out animated video) curled up and compactified inside every 3D Planck volume of our Universe.
The way I understood compactification from various popular sources is that extra dimensions in these manifolds are indeed finite - i.e., extra dimensions are not continuing outside each manifold (inside each 3D Planck volume), as if the product of their compactification literally looked like a "blob" from the picture above.
Therefore I believe that different manifolds are not connected to each other, and not interacting with each other - separated by their boundary conditions, which remain them stable inside their Planck volume.
So, here're my questions:
How Uncertainty principle is okay with such precise positioning of CY manifolds (inside 1 Planck volume) - ?.. Shouldn't each of these manifolds obey superposition principle? Shouldn't they (or Strings inside them) possibly be able to interact with each other, via interference or something like that?
(variation of the same question) How Strings are moving from 1 CY manifold to another if none of manifolds are continuing outside their Planck volume?
(this one is related, but different from others; possibly concerning a landscape problem) How these manifolds can remain topologically identical for such a long time (since the Big Bang) if they're not connected and not interacting with each other?