At the level of precision desired in this case, how does one avoid measuring runout and imperfections of the bearing system?
I was thinking that maybe there was a way to measure a particular diameter from one side of the sphere to the other, in absolute terms of a certain number of wavelengths of some infrared standard.
Perhaps one can accomplish an absolute measure of diameter by fabricating a length standard first to calibrate the bearing system?
>>At the level of precision desired in this case, how does one avoid measuring runout and imperfections of the bearing system?
Hire technical experts. Anything is possible. Air bearings? A slightly larger cup filled with an oil film might do it.
>Perhaps one can accomplish an absolute measure of diameter by fabricating a length standard first to calibrate the bearing system?
Yes, you’d probably look for cyclic variations corresponding to the characteristics of the bearing system.