I would think that if the laws of three (four incluing time) dimensional physics are being violated, the first place to look is for another dimension. I couldn't guess the way to test for one, but it seems that multiple unsensed dimensions are going to be the key to the next revolutionary breakthroughs in physics (/cosmology).
It will be proof of these other dimentions that will bring light to many of the unanswered questions we have now. Of course that will only start the next round of questions. Maybe if all goes right we can get to interstellar travel in 10-20 generations.
The way I have come to look at it all recently is that we don't know squat, at least as to the fundamental nature of the uni(multi)verse.
Yup. My son gave me a game for Christmas titled: "You Don't Know Jack."
I've come to reconise that I don't know Jack either. LOL.