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Originally Posted by asaris
Unless, of course, you had sex with your grandmother and so became your own grandfather.
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Who doesn't love Futurama?
While I am a firm advocate of multiple history theory since it makes for good fiction (and I've always imagined the world to work like this), we do not know the rules of the game. If it were to work, I imagine the quantum mechanics will hold true as it allows for branching histories. Some theories of QM theories for interference are based off of multiple 'verses' interacting. Interference readily occurs to light waves but it has been shown to affect particles with mass as well. Electrons shot through a double slit cause interference patterns, and even particles as large as protons and even helium ions will create interference patterns when shot through the double-slit.
I think the main rule about time travel is: don't be a prick and ruin it for the rest of us. Like David Tennant as the Doctor said, "Time travel is used strictly for observational purposes, and cheap tricks."