I've done some digging, and it appears Crytek, the developers of the 2007 Game of the Year Crysis, purchased Free Radical, and currently has control over all its properties, intellectual or otherwise. This means Crytek, one of the greatest up and coming game studios in the world, could actually be producing Battlefront 3! This is just an inference, mind you, but it is an exciting possibility nonetheless.
EDIT: Never mind. I spoke with a Crytek representative, and he confirmed that BF3 is not being produced by Crytek.