Question

If time travel is possible and you travel in past and kill yourself there

what will happen
will you stuck in past forever or just fade away ?​

Answer 1

this is a paradox and solution to this famous paradox is that when you go back in time to kill your grandfather, you're not going back to your own history, but a copy of your history, and everything you do in this version of your history will affect the alternate future of that universe, not your own.

Answer 2

Answer:

The grandfather paradox is a paradox of time travel in which inconsistencies emerge through changing the past. The name comes from the paradox's common description: a person travels to the past and kills their own grandfather before the conception of their father or mother, which prevents the time traveller's existence. Despite its title, the grandfather paradox does not exclusively regard the contradiction of killing one's own grandfather to prevent one's birth. Rather, the paradox regards any action that alters the past,since there is a contradiction whenever the past becomes different from the way it was.