Flying discs are not supernatural, well nature is an incredible thing but below is a very simplified demonstration of how a saucer can float using the power of magnets, further down a more advanced experiment. If the natural magnetism of the Earth could be harnessed in creating these floating devices then the possibilities become rather exciting. Officially there is not yet a passenger craft capable of using this technology.

Levitation Disc Using Magnets

Lenz's Law - A demonstration of levitation

Laser Propelled Flying Disc Powered By Microwaves