I remember when we met, you were talking about how you wanted to do some mathematical proofs/postulations in regards to black holes. What specifically did you want to prove? There are already proofs and equations for the general anatomy of a black hole, though there's a recent study that speculates hyper-time dilation around the singularity (but past the event horizon) such that any event outside would happen instantaneously. The universe would expire before an object in this space would blink!