Time and Awareness/Consciousness

Time travel seems impossible for it would imply that you could go back in time and kill yourself in the cot. If you do that then it is impossible for you to be able to kill yourself for you are already killed. A contradiction arises.  

But some mystics say that though we cannot bodily travel in time our awareness does travel in time. They say the past and future come together to make the present and this makes the past and the future the same thing. If so, my memory is the reason why I think that time is consecutive. 

But they overlook the fact that if we cannot travel back in time physically then we cannot do it mentally and yet in reality either. If I thought of an apple on 21 September 1997 at a certain moment, I cannot change what I thought of now.