Killing your own grandfather?
ok this is kind of in the realm of philosophy and metaphysics, so I wanted to see what people thought:
what happens if you go back in time and kill your own grandfather?
and for those whose instant response is "you dummy, we CAN'T go back in time!" my question to you is then does that mean you think we'll never be able to go back in time? like never ever, even thousands of years in the future with unimaginably advanced technology?
for a while, i felt the same way as you about it (that if it could happen, we would already see evidence of it in some form). but after a while of thinking about it, i considered the fact that it's entirely possible that it could still be possible and does exist in the future but, for some reason unknown to us now, they have not come back and/or left any sort of evidence that they have come back to any time before the present
Maybe they *did* go back in time and share the technology but it created a disaster and so then they went back again and made sure we never found out, lol
Wow what a conversation, um hmmm i think i am going to have to go with the last response something went wrong
So they made sure we didnt know about it.
I agee with the it would always exist, unless there was something you couldn't take back in time and therefore it wouldn't exsist, however we would know about time machines..... or maybe thats where the idea came from
someone in the future... 
I wouldn't want to think about killing my dead Grandfather TYVM 
On the subject of killing grandfather's... XD
If I went back in time and killed my grandfather, if my grandmother wasn't already pregnant with my mother/father, then my mother/father would cease to exist, thus, so would I.
And I won't jump in with time travel. Stuff like that REALLY hurts my head.
Yes l thing we will be able to go back in TIME, not in our life but in the future.

I've always assumed that time travel will always be impossible because if it will be possible in the future, what would stop them from going back in time and sharing the technology with people in the past? Therefore, if time travel were to ever exist, it would have always existed.
But to your main question, that is the typical paradox of the time travel conundrum. Maybe time travel would be possible but not how we assume it to be. For instance, maybe it would be possible to go back in time, but only as an observer and it wouldn't be possible to interact with your surroundings, sort of in a ghost-like way.