[eli5] Why temperature is not relative if velocity is relative

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So, we all know whether a train is moving depends on where the observer is. For passengers riding on it, the train is not moving. And high temperature are just particle moving with high speed. Is it possible that some observers will find a hot object cold? Just like the passengers on the train Thanks in advance!

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In order to determine temperature you have to make contact with the object or use the light it emits. If you make contact with an object you have to be in its restframe. So temperature measured like that is not relative as you have to be in the same frame of reference as the object you are measuring. If you measure the light it emits with a thermal camera on your spaceship, relativistic doppler shift will come into play. If you move towards the object the light blueshifts and will appear hotter and if you move away from the object the light redshifts and it will appear cooler.

So if you move towards the Sun at relativistic speeds your spaceship will heat up more. The actual temperature of the Sun and the amount of light it emits is the same but you are encouraging more and the oncoming light because of your speed blueshifts and is more energetic. So the Sun would feel hotter.

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