I have two schools of thought in regard to the whole time travel issue- one that I use to quantify "time" and one that I use to think about time travel (oh- and I really don't believe time travel is possible- I just like to think about it)...
First, let me just state where I stand on time itself. I view "time" as nothing more than the act of motion in the universe. So, theoretically, if all motion were to cease in the universe, then there would be no concept of time, as such. You can also derive that time is then based on the fastest moving item in the universe at any one time, since it would set the standard for motion (if that makes sense...)
But, as for time travel, in my system it doesn't really work. But I have thought about the little nuances of it since the idea of time travel is very appealing to me.
So, assuming that you could "go back in time," what ramifications would that have on the rest of the world? I'll tell you what I think would happen using probably the most famous time paradox- what if you kill your grandfather before he sire's your father.
One thing that you have to keep in mind is the "natural" flow of time for us. We percieve "time" as only moving forward, and for all we know it only affects us moving forward. So, keeping that in mind, I think this would happen:
You're born in the year 1980, and when you turn 30, you somehow find a way to travel back in time, and decide to off your grandfather. You appear, through means unknown, back in 1920. You Shoot/Stab your gramps. Your grandfather would die then, and be dead for good, and the question comes up about what happens to YOU. I think that you would then cease to exist (since you would have no way to be born later on). But, time would not reverse itself and remove the bullet/knife from your grandpa, so he would stay dead. It doesn't make much sense to me to think about a "sentient" time that will effectively negate any problems that come up within it (i.e. you killing your grandfather, but then you never existing to kill your grandfather, so your grandfather still lives, but then you still live to kill your grandfather and so on and so forth.)
From my experience, the universe, with very, very few exceptions follows one simple rule- always follow the path of least resistance. The idea of "time" flowing backwards to fix some error seems like it breaks that rule.
So lets have some completely inoffensive thoughts on what time is, and if time travel is possible (I'll chip in later on)
[whimsical blue color to infer that I'm being sarcastic]
Oh, and you're a douche.
[/whimsical blue color to infer that I'm being sarcastic]
I had to say something offensive... Sorry.