After loosing his wife and kids in the next great war, a socially-awkward genius attempts time travel to restore the life he lost.

Firstly, as Karel has mentioned elsewhere: a logline is a mere 25 words, so spelling mistakes are an absolute no-no in such a compressed space. Which means changing "loosing" to "losing", stat.

To the concept: not bad. I like the way you establish a future setting in an efficient, original way with "next great war", and there's just enough pathos to engage without being saccharine.

The "attempts time travel" throws me a little, though - is it just an attempt? Like, does the film chronicle his attempt to develop a means of time travel and the ultimate payoff is whether he achieves this or not, or is the film about his trip back to the past to change things, a la The Time Machine? If it's the latter, I'd clarify by saying simply that he travels back in time to restore the life he lost. If there's an original hook that sets this apart from other time travel stories of a similar bent (see again, The Time Machine), then I'd try to work that in as well while still keeping it brief.

One last nitpick - is "socially-awkward" necessary? Would cutting "socially" and leaving just "awkward" behind lose too much meaning or do you think you could get away with it? Your call, but the snappier the better, I think, and "awkward genius" has a nice rhythm to it.

Also, nice title. Maybe a little on the long side, but it has a certain evocativeness to it.