I'm not willing to spend money on the book "The Final Theory", but I did take a look at a few of the comments on Amazon, and if it's true that his theory states that "You don't need gravity," that the reason a object falls to Earth is that everything is expanding and thus the Earth expands to meet the ball, can be easily discredited.
Thought experiment: If we take it as a given that everything is expanding, then for the Earth to expand at a rate that would provide the illusion that, say, a bowling ball, dropped from, say, 4 feet high, falls to the Earth in approximately 1/2 a second, then it wouldn't be long before the surface of the Earth reached the Moon. But, if we are to stay consistent with observation, wherein we witness no such convergence (and in fact, the Moon remains in the sky at a fairly constant average distance), then we must include the expansion of space itself. And, as the expansion of space (or the _space around all matter_), keeps the Moon in place, it would also keep the bowling ball in place, and it would never fall to the Earth.