You do realize that the appeal to 11 dimensions is from string theory, which hasn't produced a single testable prediction in 50 years and pushes all the interesting questions in physics off onto happenstance of an (unobservable) "string vacuum state" in the early universe. And it's not where the supposed "multiverse" (a device as unobservable and unfalsifiable as Divine intervention at some point in the past) resides -- all the universes of supposed "multiverse" are supposedly 11 dimensional, just like ours. (Why 11? Because that seems to be the handiest way to get something almost like observed particle physics while not needing to learn any mathematics other than differential geometry, which is the only math most physicists learn.) They "other universes" are also unobservable, and thus unfalsifiable. String theory long ago ceased to be science and became an atheist creation myth whose high-priests decide who gets funding to do "theoretical physics".

At least the debate over angels dancing on the head of a pin, back in the day, was about a real question: whether physical space is infinitely divisible or not -- the interesting positions were "infinitely many" and "finitely many". (BTW, the answer, we now know, is finitely divisible, since energy is quantized and attempting to divide space too finely involves making the energy density for the smallest probe to make the measurement so great that the probe collapses in its own Schwartzschild radius, making a black hole -- the length at with this happens is called the Planck length, and its existence say that differential geometry, which uses calculus and thus depends on space being infinitely divisible, can't be a good model for physics at the fundamental scale string theory supposedly deals with.)