Skull and Bones
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That is a paradox..I think you should read up on Novikov's self consistency principle and Hawking's chronology protection conjecture...scenario very similar to the much abused Grandfather paradox.
I'm a string theory supporter, which states when a disturbance is created in the flow of time, it bifurcates into two parallel dimensions and continues it's flow.
And i think Hawkins said feedback mechanism renders travelling in the past impossible, isn't? I'll have to do a lot reading on this stuff.