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Tachyons, time travel, and the laws of thermodynamics

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While we don't really have a good model for time travel, and as such paradoxes abound freely, I've been trying to chase a thought about entropy and time travel for a while.

I vaguely recall discussing this, but I cannot seem to find any reference to it in my past posts, so it may not have been here.

 

If we could send information back in time (and act on it in a paradox free manner), would this violate the laws of thermodynamics somehow?

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