I am doing a presentation and want to make sure I'm not misunderstanding something very fundamental.(adsbygoogle = window.adsbygoogle || []).push({});

My argument goes like this:

t_{0}= ϒt

Santa is moving very fast and from his point of view he is in proper time. This means that if it takes him t_{0}seconds to deliver a present, the amount of time he observes passing on Earth is ϒt seconds and ϒt > t_{0}.

This means on Earth it takes a lot longer to deliver all the presents (ϒt seconds) but for him it only takes t_{0}seconds. So he gets the job done in a shorter period of time.

Also, length contraction:

On Earth Santa needs to travel X m (X m is the distance between all the houses) but since he is moving so fast, the distance is reduced to

X_{0}= [tex] \frac{X}{\gamma}[/tex]

The two effects mean he has to travel a shorter distance and more time passes on Earth compared to the 12 hours in which he delivers the presents.

So he can successfully do the task.

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# Special Relativity Time Dilation Santa question

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