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It's interesting to note that cosmic rays were one of the first practical proofs of the phenomenon of relativistic time dilation. There are certain types of cosmic rays produced by interactions in the upper atmosphere that are very, very short-lived, but we see far more of them at ground level than we "should" do because, in our frame of reference, time is passing more slowly for the rapidly-moving particle than it is in its own reference frame, hence it takes longer to decay.
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