Interesting comments Atomic-S. I'm not sure what you mean by the wave functions being 'wound-up' though. If there was a single wave function that spanned the entire object then I think I could see what you mean but as the wave functions will apply at the particle level then we'll just have a gradient across many wave functions, which doesn't sound too problematic.

As something that's simply rotating should show the same effects, I thought I'd try working out how much time dilation could accrue in such a spinning object.

I've picked a large water turbine to work with as they can have diameters > 10 metres, rotate quite quickly and can run for decades. I couldn't find any specific size/rotation combinations, just a rotation speed range of between 60-720 rpm (Steam turbines spin much faster and will give greater time dilation but I couldn't find good numbers for rotational speed & diameter, and nor for how long they're likely to run)

So working with 10 m diameter @ 60 rpm...

Circumference = pi*d = 31.4159265359m

because we're using 60 rpm

Linear speed

*v* at the rotor tip = 31.4159265359 m/s

The time dilation factor will be √1-(

*v*^{2}/c

^{2})

which equals (by using all my fingers and toes [

]):

0.999999999999994

So the rotor tips should be younger than the center of the rotor by a factor of 0.999999999999994

Over, let's say 30 (non-leap year) years (some have run for 60 years afaik) we get:

946080000 seconds

which will be the age of the center of the rotor, whereas the age of the rotor tips will only be:

946080000 * 0.999999999999994 = 946079999.999995 seconds

so the rotor tips will be 0.00000524520874023438 (5.25E-006) seconds younger [

]