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View submission: What-If 86: Far-Traveling Objects
According to the Wikipedia page for the LHC, proton beams are circulated for 10-24 hours at 0.999999991c. That gives us an upper limit of around 24 light hours for a particularly lucky proton, much further than the paltry 17 light hours travelled by voyager 1.
Still gets outclassed by Plymouth voyagers and stone tools, given Randall's system of measures, but that's kind of cool. I didn't know the collisions continue for so long.
There's nothing here!