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His birthday is always all day. The question is where he is. If he travels to Japan his birthday won't change - even if he was born late at night and thus it would be a different day if he was born in Japan.
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The other fun ones are daily recurring events for e.g. taking some medication. You take the last one at 10pm before going to bed. You go on a trip which moves you three hours east. Now your calendar helpfully reminds you to take your meds at 1 am.
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