Note on the absence of the second clock effect in Weyl gauge theories of gravity

We reconsider the status of the so-called second clock effect in Weyl gauge theories of gravity, which are invariant both under local Poincare ' transformations and local changes of scale. In particular, we revisit and extend our previous demonstration that the second clock effect does not occur in such theories, in order both to clarify our argument and confirm our original findings in response to recent counterclaims in the literature.

Automated summary

This paper reconsiders the status of the second clock effect in Weyl gauge theories of gravity, which are invariant under local Poincare transformations and local changes of scale. In particular, the authors revisit and extend their previous demonstration that the second clock effect does not occur in such theories to clarify their argument and confirm their original findings in response to recent counterclaims.