Relativistic paradox involving torsion.

[Dale]

To me it seems like it all fits.

 

[Cleonis]

A paradox is a logical self contradiction.
In this case there never was a paradox established anyway. "Not twisted in frame A" and "twisted in frame B" are not mutually exclusive propositions. [...] Since it is simply Minkowski geometry it is completely self consistent.

Overall I share your opinion about the word 'paradox'.
For example, I prefer the expression 'the twin scenario' for what is most often called 'the twin paradox', because the twin scenario doesn't involve a self-contradiction.

That said, very often the word 'paradox' is used in a wider meaning, referring to a counter-intuitive situation, regardless of whether there's actual self-contradiction. In the physics literature it is common to refer to 'the twin paradox'.

Finally, I think the fact that Minkowski spacetime geometry is a self-consistent geometry does not in itself guarantee that applying special relativity will give self-consistent results. Electromagnetism is Lorentz-invariant, but what if some other fundamental law is ultimately not Lorentz-invariant?

[...] that Cleonis' "paradox" is referring to [...]

If this long spinning pipe scenario is to have a name I think 'Cleon's paradox' is neat. My first name is Cleon, the nick 'Cleonis' is a contraction of my first name and part of my last name. So if in the future you happen to discuss this scenario, then please use the name 'Cleon's paradox'. (I don't really think this paradox will make it to posterity, but hey, nothing ventured, nothing gained.)

Cleonis

I almost forgot: thank you both for your contributions. I'm not sufficiently familiar with this stuff to fully understand the stress-tensor material, but I find it very exciting and stimulating

 

[Dale]

That said, very often the word 'paradox' is used in a wider meaning, referring to a counter-intuitive situation, regardless of whether there's actual self-contradiction.

Yes, many words used in science and math have other non-technical meanings. For example, police "force", political "power", "work" of art. These alternate common usages don't change their specific technical meanings.

Finally, I think the fact that Minkowski spacetime geometry is a self-consistent geometry does not in itself guarantee that applying special relativity will give self-consistent results.

Yes it does.

Electromagnetism is Lorentz-invariant, but what if some other fundamental law is ultimately not Lorentz-invariant?

Then SR would still be self-consistent; it would just be inconsistent with experiment. In other words, it would not have any paradoxes, it just wouldn't correctly predict the result of experiments.