Conservation of momentum is absolutely fundamental to the laws of the universe, so if you get a mathematical result that seems to defy it, then your maths is wrong somewhere. This guy's been peddling his idea for over two years now, and every time knowledgeable people discuss it, they poke obvious holes in it immediately. eg:
Helical Engine
There are no loopholes in relativity. It is the most watertight theory in the history of physics.