- #246
arivero
Gold Member
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Hans de Vries said:One point is that there would be one radius which is special, but why?
For the relativistic spinning rod, one can select the radius to be inverse to the angular speed, so that [tex]r \omega=c[/tex] marks the extreme of the rod orbiting at lightspeed. I think this is true of some QCD strings also, I do not know of fundamental strings.
Then for a rod of mass M one can ask for what radius at the same rotational speed will a point particle of the same mass reproduces the same angular momentum (this angular mometum is actually fixed from the above condition r w = c if assume for instance that the mass is equally distributed along the rod). And then one goes across your equations again, but with a fixed angular momentum, this is mostly unsatisfactory.