time travel in itself violates physics
X, in year 2000, travels 500 years into the future to 2500. X's mass suddenly dissappears in 2000 when X time travels, and suddenly reappears in 2500 when X arrives. For 500 years there is -mass of X- less in the universe, thus time travel as it is in CT is physically impossible.
However, 'traveling' into the future is physically possible (but not instantly, as it is in CT), but going back in time is physically impossible (all the 'theorems' and such ARE NOT THEOREMS, they're postulates based on the idea of instantaneous (and backwards) time travel's being possible, or theories, but a theorem is something that can be, and is, prooved.
Also, the Time Bastard Theory is incorrect. "For time > A, two identical entities X and X' will exist in Y'."
Let's say X goes back in time to B, and kills his mother, who, at that time, hasn't given birth to X yet. In timeline Y', which is X's original timeline, but with the variations his existance in time B caused, X' doesn't exist, because X's Mother' was killed. Thus, X and X' are not always identical, and in some cases X' is even an absence of existance.
Now, i don't know when the games refer to Conservation of Energy besides relating to the end of time, so i don't think it has anything to do with the DBT. Just as i explained later, with physical properties of mass/energy having no rule over the physics of CT, an extra amount of energy/mass is just as impossible as an absence of an amount of energy/mass, so either both cases can be ruled out as being impossible, or the physical property of energy/mass can be ignored completely in the game (but ignoring it in one case, then saying that the reasoning behind the other is it is even more faulty than ignoring it completely, which can be done since it is merely a video game)