Martin Delambre (Baker) is driving to Montreal one night when he sees a young girl by the name of Patricia Stanley (Gray) running in her underwear. They fall in love and are soon married. However, they both hold secrets: she has recently escaped from a mental asylum; he and his father Henri (Donlevy) are engaged in radical experiments in teleportation, which have already had horrific consequences. Martin also suffers recessive fly genes which cause him to age rapidly and he needs a serum to keep him young.