Now this is interesting.

http://en.wikipedia.org/wiki/Hairy_ball_theorem"From a more advanced point of view: every zero of a vector field has a (non-zero) "index", and it can be shown that the sum of all of the indices at all of the zeros must be two."

Now we have the 2GM in various calculations for gravity where the 2 is important and is due to feedback. Are these in any way related? I don't know how they can be. Just asking for opinions.