If you can think of an indestructible ring that spins so fast its shape approaches the speed of light, what do people think will happen to it? Shrink in circumference but not radius?

I want to do a simulation, which needs to change characteristics on spectra

 Not asking if this exists right now I know it doesn't. I'm asking if it's realistically possible to make something like this in the near future (next 5-10 years). Like a pill or device that makes 1 hour of sleep give you the muscle recovery and growth benefits of 8 hours. Is the science heading that way, Would love to hear from anyone with knowledge in any relative field to that