Nice picture. lol. But if electrical impulses can be sent back in time, then I don't think it would need Bitcoin as it would be able to already install itself onto the servers of the world and control the world's finances already.
Great idea though.
They'd have to get access to the servers hard drives, cpu or ram and cause a electron cascade precisely directed at those atoms of the circuit required... I can imagine they would have to do it millions of times to make sure all the electrons make it to their specified time frame.
If I did it, I would set it up so it gets sent back slowly as the data is verified over the time
, tcp/ip for time travel; It could be a new paradigm in computing.