The video Blueprint for a UFO from the Sirius Disclosure channel on youtube explains how a flying saucer works. This channel has many other interesting videos on the related subjects of zero-point energy, electrogravitics (anti-gravity), and faster-than-light travel.
Anti-gravity has an interesting relationship to one method of faster-than-light travel. Einstein's theory of special relativity shows that you can't accelerate a mass to the speed of light because it would take an infinite amount of energy. But, if you use electrogravitics to reduce the mass of an object to zero, you are not limited in that way and you can accelerate an object to a speed faster than that of light. However, accelerating an object through normal space may be less efficient than another method of faster-than-light travel suggested by Einstein's theory of general relativity. General relativity is concerned with bending space. By traveling through warped space, it may be possible to travel faster than light would travel through the same space in its unwarped state.