Just an amateur (and hardly even that)... so take it easy on me... but I have some questions about the Grandfather Paradox. Assuming time travel to your past were otherwise possible, doesn't that imply that each moment in time is its own unique physical state existing simultaneously? Presumably each moment, and therefore each physical state is linked. That would be by cause and effect, right? If I travel back in time and knock off my grandfather, the ultimate effect is that I am never born to knock off my grandfather. But wouldn't that change have to percelate through the infinite number of moments in time via the same chain of cause and effect linking the physical states? In which case, it would never catch up to me because I am still moving forward at the same pace, right?