Actually, ignoring the entire theory of infinitly alternate timelines, if you went back in time to kill yourself, your father, or otherwise interfere in any way that would prevent you from doing the actions of the intervention there are 2 possible outcomes.
1) The universe stops you from doing so.
2) You are able to do so, but in doing so remove the reason in real time. You continue to exist as a point on the line of time but you become an obnoxious bubble/loop on it. You essentially have sprung into being at whatever time you went to. With whatever in your brain that you had when you didn't leave. See the hitchikers guide to the galaxy for an explanation on the new tense's created by timetravel.
On another timetravel note. Some of you remember
Imagining the tenth dimensionAt the higher dimensions you end up with multiple universes, they can be represented as points that contain the universe and all possible things to ever occur in it from creation onward. I won't go into it unless someone asks but its completely possible to create a universe from absolutely nothing, without the passage of time, and without any remote influence. Hence no first cause.
These different universes can be insanly different. Ill tell you why thats important in a second. But first a visualization of the multiverse. I'll use the basic picture that Iain M Banks used. I think this particular one was written in Excession, which is a really damn good book that you should all read:
Take a point in n-th dimentional oblivion (Define Oblivion as lack of Probibility, as particles and energy exist as probability statistics per quantum physics). from that point you can create spheres of increasing radii outwards indefinatly. A radii of infinity is time. All Radii are ammounts of time elapsed since the creation of each individual sphere, which are constantly increasing in Radii.
These Spheres each are universes. Probability wise they will be quite similar, but likely some will be much different. These are 7th dimensional universes. In the animation it says you could fold in through the 5th to go back in time in the 4th. Even more modern higher magnitute thinking has pretty much proved that that is impossible unless your 8th dimensional Origin itself had entirely different rules, hence entirely differen't dimensional structure and visualization. Instead what would happen in your particular sphere dimension, were you to try and alter time, would not actually be going back in time. It would be taking that particular universe and changing its current state.
This doesn't circumvent the fact that its eventually going to die. Weather by rip, squeeze, heatdeath, bose-eintein condensation, etc there is no way to stop time from marching on. And 8th Dimentional globably your universe continues to expand and increase in entropy because of it.
The only way to survie is to fold through the 8th dimention into a universe where less time has elapsed, possibly jumping all the way back to instant one and artifically alter the way that it forms after creation.
I think I lost my point somewhere in there but it was fun to type and hence worth it