That's why it's a 'singularity'... usually when you start getting infinities in a theory it means you're doing something wrong, or at least your theory just doesn't apply anymore.
Personally, I think black holes are the 'source' for the only other infinitely-dense, point-like thing in Physics, the singularity that started the Big Bang.
Personally, I always had a feeling that the two are related, and a black hole is really a huge amount of our universe's mass 'punching through' to create a Big Bang in another universe or in a part of our Universe that is outside our observable range.
There used to be a theory similar to this called 'white holes', but we've never found any of those. On the other hand we can easily detect things that fit the description of black holes all around us.
To my mind the discontinuity in the theory, where it breaks down and starts giving infinite answers, is just an indication that we're not dealing with things in our particular Universe anymore.
Personally, I think black holes are the 'source' for the only other infinitely-dense, point-like thing in Physics, the singularity that started the Big Bang.
Personally, I always had a feeling that the two are related, and a black hole is really a huge amount of our universe's mass 'punching through' to create a Big Bang in another universe or in a part of our Universe that is outside our observable range.
There used to be a theory similar to this called 'white holes', but we've never found any of those. On the other hand we can easily detect things that fit the description of black holes all around us.
To my mind the discontinuity in the theory, where it breaks down and starts giving infinite answers, is just an indication that we're not dealing with things in our particular Universe anymore.