On Apr 2, 11:28 pm, wrote:
Do they exist anywhere other than in the center of black holes?

That depends on the definition, either yes or not even in a black
hole.

Since many think "singularities" in the physical sense is just an
artifact of math. i.e. General relativity breaks down at this point
and you don't get a real singularity. This could mean that to an
observer falling into a black hole would only fall for a finite amount
of time, and be crushed to a finite volume. However this volume could
be the order of a Planck length in size and nothing would look
different to an observer on the outside. i.e. You still have an event
horizon at the same place. i.e. it still looks like a "singularity"
from the outside.

greg