Do materials have temporal elasticity?

[mrspeedybob]

If I take a spring and move one end at a different velocity then the other tension will build in the spring and when released it will return to its natural shape.

What If I take an object and put one end at the edge of a centrifuge and the other at the center. Acceleration and velocity will cause the end at the outside to age more slowly then the end on the inside. If this material were radioactive the age difference could be measured by radiation levels at each end. Is there any sort of elastic property that would draw the two ends back toward the same age once the centrifuge stops?

 

[zhermes]

There is going to be the exact same elastic property... there will be a centrifugal/centripetal force stretching the spring; when it stops spinning, it will relax back towards equilibrium.