With respect, we really have no clue about the infinitely small and the infinitely massive, math does not work here.
But if matter in a black hole is compacted into infinite density, would that not be an atomic core?
The laws of physics breaks down at an atomic level, it also breaks down around black holes.
could the two be related? could a black hole be an atom with a periodic number in the (insert ridiculous number here) ?
If it were true that black holes where atoms / elements it'd turn two problems...