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Question: in the twin paradox when a twin leaves at a...

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In the Twin Paradox, when a twin leaves at a greater speed and comes back to his brother who was at rest. His brother aged more because he was at rest and his brother in the rocket moved really fast so he aged less. My question is that: "From the reference point of the moving brother in the rocket, his twin brother who was rest moved in the opposite direction at the same speed and acceleration when the rocket left. So why is it that he (in the rocket) didn't age much compared to the brother at rest?" It might also have been the other way round? The rocket brother aged more than the one at rest?  

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