Paradoxes are the most feared element of time travel. This because they violate physical laws and we don't know what the result of such violations would be. The most commonly used scenario is that of a man killing his grandpa before he had kids. This would have destroyed the cause of the time traveler making him an effect without a cause, and a thought physical impossibility. So what happens to him, perhaps then he would be wiped out of existence as if he were never born. In this case he never made the voyage through time, that being the case his grandfather lives out his life as before and our time traveler is born to make the same mistake. This could continue in an endless loop, or perhaps an alternat reality is created and the time traveler only prevented the birth of an alternate self. But there is a simpler solution which in all my readings on time travel I have not seen. What if the man lives through the loop over and over, each time going slightly faster, just as a web page loads faster on a repeat visit, until finaly he is simply inscinerated at the moment his time travel was meant to occure, thus preventing the paradox and providing a reasonable excuse for his death, that can be used by the living.