Dinner with three very smart people.Physics was about to win anyway.Okay. I have a relativity question.
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Kevin is 12 years old and lives 5 light-years away.Bolt races straight toward him at almost light speed.At departure, Bolt sees light Kevin sent 5 years ago.And Heimdall floats nearby, stationary relative to Kevin, watching the whole trip.
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So Bolt initially sees 7-year-old Kevin.That part makes sense. The image is 5 years old.But after Bolt travels for 5 years…
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Hold on. Which Kevin is this?Home Alone Kevin? Or Wonder Years Kevin?Neither. Same Kevin. Different light.Then why does he look like he switched franchises?Because you switched subjects.age 8age 12
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…Bolt arrives and sees 17-year-old Kevin.Wait. Kevin looked 7 at the beginning and 17 at the end.Bolt watched Kevin age 10 years during a 5-year trip?
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Easy. Bolt is moving so fast that Kevin's time is dilated.Kevin should look like he ages slower, not faster.So 7 to 17 cannot be right.
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But Kevin is staying home.Heimdall says Kevin actually becomes 17 while Bolt travels.Then Heimdall's calendar is suspicious.Your calendar is not the suspicious one.
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You're both mixing up Kevin's age with the age of the light Bolt receives.Bolt is chasing Kevin's old light from behind.Maybe Bolt keeps seeing the same 7-year-old Kevin for almost the whole trip.
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Then, near the end, all the newer images arrive at once.Like Kevin suddenly fast-forwards from 7 to 17.That sounds less like physics and more like bad streaming.
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So does Kevin age slowly, normally, or all at once?Slowly!Normally… but visually fast at the end?My brain is receiving delayed signals.
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Why are you arguing with light travel time over dinner?Move over.Grand Relative, Kevin appears to age 10 years in 5 years.
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Kevin does not age twice as fast in his own life.He ages normally: from 12 to 17 while Bolt travels for 5 years in the home frame.Bolt is seeing Kevin through light signals arriving more and more quickly.
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At departure, Bolt receives light Kevin emitted when he was 7.As Bolt approaches Kevin, each later birthday signal has less distance left to travel.Those signals arrive closer together than they were emitted.
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That is the approaching Doppler effect.Bolt sees Kevin's clock running faster because Bolt is rushing toward the incoming light.It is not just time dilation. It is time dilation plus changing light-travel delay.
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Heimdall, near Kevin, sees the ordinary story: Kevin goes from 12 to 17.Bolt begins by seeing 7-year-old Kevin because that is the first old light reaching him.By arrival, Bolt sees 17-year-old Kevin standing there now.
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So yes: Bolt observes Kevin go from 7 to 17.That is 10 years of visible aging during 5 years of Bolt's travel.The faster Bolt approaches, the more compressed Kevin's incoming timeline appears.For several seconds, the gangs had no reaction.
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So Kevin does not secretly age twice as fast.Bolt receives the years of Kevin's life faster because he is approaching the signals.And “what time is it there?” is different from “what am I seeing now?”Finally.
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Next time you chase someone across five light-years……remember that their old light is coming toward you too.That is how you earn a cosmic speed ticket.Can the ticket be paid in dumplings?
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