In 1932, Enrico Fermi (physicist and Nobel Prize winner) pointed out that Time Travel (at the atomic level, at least) was impossible. But in January 1994, his calculations were found to be in error. Was it the beginning of
theoretical (not just literary) Time Travel? No,... not yet. The actual technology capable of such a feat remains to be discovered, its details still elusive. More on this controversy:
Nature, News and Views (10 February 1994)Causality problems for Fermi’s two-atom system, original paper proving Fermi wrong.
Time machines still over horizon by John Maddox.
Gerhard C. Hegerfeldt, the physicist who proved Fermi wrong.
Trap Doors in Time and Space: Teleportation, Time Travel, and Escape from Black Holes, current status of the question.