Heuristically it seems clear that a magician in 2D Flatland would be able to by a trick take out a flat cat from a flat hat, but also seemingly clear that not even a magician in Flatland can get a 3D cat from a flat hat but for that is needed, as for magicians in our world, at least a 3D hat.
So the conjecture is:
A N-dimensional structure can in no sense
“create”, “produce”, “emerge”
a (N+1) dimensional structure.
I have got some arguments both Pro and Con the conjecture and welcome further arguments pilotti dot jan at gmail dot com