Physical laws may vary across the universe!:

http://www.physorg.com/news/2011-10-nature-laws-vary-universe.html

Lots of implications if this finding holds up.

If the alpha gets weaker when looking at galaxies in one direction and stronger when looking at galaxies in the other direction, then doesn't that sounds like a mathematical modelling problem?

I've heard about this alpha thing before. Interesting, though another explanation could be that the assumption that alpha is constant is simply flawed, and there is some predictable way of determining alpha that maintains the constancy of physical laws. Or perhaps the measurements are flawed in some way.