Car, wheels and Lorentz contraction of the road: Is this a Paradox?

In summary: I'm not sure what you mean by "rolling". The invariant is the number of times a given spot on the wheel contacts the road during the trip. But, as has already been pointed out, "invariant" means invariant for the same scenario under a Lorentz transformation. It doesn't mean the same for two different scenarios.
  • #71
LikenTs said:

The following paper contains a critical review of R. Klauber's personal theory:
paper of Olaf Wucknitz said:
In contrast to this, Klauber(61) claimed that the length of the rim must be measured along a closed curve in spacetime. We have shown that such a measurement would not be in agreement with relativity. Klauber(61) measures
lengths on the rotating disk as invariant space-time intervals not along lines of isotropic simultaneity (“non-timeorthogonal”), but along lines of constant global time, i.e. in our notation along dT = 0, where the synchronization is
defined as in Sec. 5.7 with A = v. This leads directly to the absence of Lorentz contraction in the case of the rotating
disk. It is clear that neither the concept nor the consequence is compatible with SR, and indeed the theory is meant
as a testable alternative to relativity, which moves the subject outside the scope of this paper.
Source (on page 23):
https://arxiv.org/abs/gr-qc/0403111

via:
https://de.wikipedia.org/wiki/Ehrenfestsches_Paradoxon
 
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  • #72
Sagittarius A-Star said:
The following paper contains a critical review of R. Klauber's personal theory:

Source (on page 23):
https://arxiv.org/abs/gr-qc/0403111

via:
https://de.wikipedia.org/wiki/Ehrenfestsches_Paradoxon
Note, however, that this paper is also not published in a reputable journal. That in itself is not terribly surprising since Klauber's paper is so obscure that most professional journals would not consider it something that even needs to be rebutted.
 
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  • #73
Since the OP is continuing to push their same non-mainstream views using yet more unpublished sources from the same questionable author, their most recent response is deleted and this thread is closed.

Please review the forum rules prior to posting any further.
 
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