Though not ruled out by general relativity, travelling into the past would seem to violate common-sense notions of causality and free will -- and then there's the Grandfather Paradox... Part Two of this video features Einstein, relativity, wormholes, and more! (Part One is here.)
Dan Falk is an award winning freelance writer and broadcaster specializing in science stories, and was a 2011/12 Knight Science Journalism Fellow at MIT.