Comment Re:Failing geometry (Score 1) 258
You first state 1D-2D; then 1D-3D, and then extrapolate to 3D-nD, having not modified the primary factor before.
Two arbitrary 2D objects in 3D space will also meet with a probability vanishingly close to 1.0. The same goes, then - if you *can* extrapolate that without knowing all the rules in place in higher dimensions - that two 3D objects will meet in 4D, and two 4D objects will meet in 5D; et cetera.
Thus, if our nD universe is encapsulated in an n+1D multiverse, they will certainly meet, according to your logic.
All of that, however, still assumes that said objects do not move around in the higher-D space. Two arbitrary lines moving around in a 3D plane may eventually meet, depending on their movements; and the more lines there are the more likely collisions become. Now, given that the multiverse is supposedly composed of an infinite number of universes, the probability of collisions is absolute 1.