Then all communication between the two parties, leaving you with effectively a hard fork. But that doesn’t mean that bitcoin is for earth, only.
If you leave earth with earth-level difficulty, you wouldn’t even be able to continue mining elsewhere anyways. You would have to use something else.
…for 2016 blocks.
You wouldn’t be able to mine a single block, and even if you somehow could grind it out, the difficulty adjustment is capped. It would effectively be stalled.