Space-time variation of the electron-to-proton mass ratio in a Weyl model

Details Space-time variation of the electron-to-proton mass ratio in a Weyl model Space-time variation of the electron-to-proton mass ratio in a Weyl model

2010-10-29

arxiv.org/abs/1010.6233v3

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

14 pages, new models included

Scientific paper

Seeking a possible explanation for recent data indicating a space-time variation of the electron-to-proton mass ratio within the Milky Way, we consider a phenomenological model where the effective fermion masses depend on the local value of the Weyl tensor. We contrast the required values of the model's free parameters with bounds obtained from modern tests on the violation of the Weak Equivalence Principle and we find that these quantities are incompatible. This result indicates that the variation of nucleon and electron masses through a coupling with the Weyl tensor is not a viable model.

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