The Invisible Battleship

This one sounds more science fiction than theory. In October of 1943, the USS Eldridge was rendered invisible by refracting the light around it, kind of like that scene in The Avengers. This was done with the help of the CIA and Pentagon to create a new type of stealth ship for the war. Where physics gets ignored is when the ship mysteriously appears in the ocean, without anyone moving it there. It’s rumored the crew suffered terrible health problems and several of them died. This event is known as "The Philadelphia Experiment".