Time dilation effects on spinning object

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awcrowe
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hypothetical: If I were to spin with my arms outstretched, with the tips of my fingers moving at (or near) the speed of light the center of my head would therefore not be moving at all.

Would the centre of me age faster than the extremeties?
 
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Yes. The curve in spacetime that represents the motion of the center of your head has a greater proper time than any other curve between the same two events.