Being myself a fan of Michio Kaku I can definitely say that I find a lot of what he presents edifying and interesting. But in response to your question, I would pose another one: Is there enough energy in the known universe (assuming the known universe to mean a finite plane) to heat all of...
While this is a good point, decay implies motion by its very nature. An utterly motionless universe would have to be one without change; without decay or growth.