While your post has nothing to do with time travelers whatsoever, it's still interesting. I saw a documentary recently called "Something Unknown is Doing We Don't Know What...", where they had random number generators around the world. Previous to important global events, they seem to be generating less random numbers, that is, less homogeneously distributed. My explanation is that it has something to do with some kind of local entropy, because there are less states where that event happens then there are where the event doesn't happen. But how that somehow influences the RNGs beats me. If it isn't complete bullocks to begin with.
I liked the documentary, but it failed miserably in even trying to explain the psy events the 'scientists' were researching.