A New Idea

Idea: First-person view, girl meets a guy who claims that he knows her. He explains that he is a timetraveler and that he has already met her under these same circumstances. He loops infinitely, going back in time, meeting her, spending the day with her and then going back in time, only to come out and do it again. He is a paradox, like a mobius-strip, there is only this loop of time. During their time together, he displays prescience, telling her what is about to happen, even things that she will do. They all come true. She falls in love with him, but he has to go back in time, or they'll never have met.