OK, this may be more of a philosophical question, but I thought it might be interesting.
Using the explanation of time travel where changes to the timeline cause new branching timelines, what happens to the whole "energy cannot be created nor destroyed" thing? wouldn't this imply that each new branching timeline shortens the lifetime of the universe as a whole? IF taken to the extreme and viewed as branches being created with every decision point, wouldn't random number generators (which have become much more ubiquitous with the information age) be increasing the rate of new branches being created and thus increasing the rate at which the universe's age shortens?
Not sure I used the right terms for this, so hopefully you guys will get what I am trying to say.
The law of conservation of energy states that the energy of the universe as a closed system is constant. In other words, all physical processes that take place in the universe that we are aware of only convert energy, they do not create it or destroy it, and we use this property to model and predict these processes better.
If something decides to branch the universe at some point, each branch corresponds to a different universe. Inside those two universes the law of conservation of energy isn't violated because the processes that happen within them never created or destroyed any energy for any observer within the universe.
Time travel on the other hand seems to violate the law of conservation of energy but that can be simply explained if you just stop looking at the universe as a closed system. The time traveller came from the outside of the universe. Also, if there are no different timelines involved, the energy within the whole spacetime would remain constant and I even think that the universe would always end up with the same amount of energy that it started with. If there are multiple timelines things get more complicated as the energy within a timeline isn't preserved.
This isn't a problem since the law of preservation of energy only applies to known processes and their cousins. Time travel might be a completely different and unrelated beast so the violation might turn out to be irrelevant.
If there are time travellers from the future, I bet they were never heard from again because they didn't account for the movement of things in space.
Travel one single second back in time, and Earth has moved 27 kilometers, the solar system 200 km, our galaxy 500 km, and so on. If you go back a thousand years, you might end up anywhere.
Movement in relation to what? All motion is relative, you need a fixed point to measure it.
My assumption is that if time travel is possible (and I deeply believe it is absurd), if you remain stationary in relation to an axis that is moving inertially you'd end up at the same point in relation to this axis when you arrive at your chosen time. And you should chose your point and speed when starting your time journey well so that you still arrive in the solar system at the other end.
One problem with that assumption is that if it is true, after time travel all your particles would end up in different parts of the galaxy. So I'd go for means of time travel that do not have any problem with motion: worm holes (where the destination is known), superlight speeds (where your motion through time is a side-effect of your motion through space), or time machines that exist at both ends of the journey (like in “Primer”).