Well, I don't have any idea.
For all I know, events could be connected, but not
have to have a cause. In which case, if you went back in time and killed yourself, you would just BE there. No reason; you just appeared out of nowhere.
Or perhaps your version of future still exists, in which case, no paradox: you still have a cause and origin, and you still have a no-you-future.
QUOTE
Also, here's a surefire (or is it) way of telling whether we'll have time travel in the future: If we had time travel in the future, surely there would be travellers from the future among us today?
Surefire? Hardly so.
First of all, such people could have disguised themselves, in any of dozens of ways besides acting as though they're normal people.
Or perhaps they have time manipulation technology advanced enough to return our present into their past, so that all of us, including our memories, locations, activites, and so forth, revert to an infiniterly small amount of time before the people appeared, so that it's litterally impossible to tell that it ever happened.
And also, perhaps we'll be able to travel into the future, but can't travel into the past.
Lastly, a little off topic, I'll state what I think might happen if we could travel to the future.
You might travel into a time in which you disapeared for n oapparent reason, out of thin air, and people are like
wtf?!, or perhaps they DO know what happened because they'll figure that you probably travelled, or perhaps you will travel into a blank future with absolutely nothing in it. Why? Because there has been no cause for anything. The events preceeding what you're in haven't happened yet, and thus haven't caused the future to exist yet.
Or millions of other possibilities.