There is aan implicit possibility for time travel in using a massive spinning cylinder, apparently. Anyway, according to Stephen Hawking, Britains answer to Davros, time travel is technically possible, but paradox isnt. What he says is that paradox would represent a high energy state of possibility, and that phase space, like normal space, would not support the high energy state for long before relaxation took place. The upshot of which is you might be able to shoot your mother but she would unshoot herself within milliseconds because the universe takes a dim view of that sort of thing. As for the "where are the time travellers" argument, why should they reveal themselves? it would be an end o any normal existence...."what are the winning lottery numbers?" "Who do i marry" "who wins the election" Yould go daft.