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Space-time variation of the electron-to-proton mass ratio in a Weyl model |
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| Authors: | Susana J. Landau Florencia A. Teppa Pannia |
| Affiliation: | a Instituto de Física de Buenos Aires, Ciudad Universitaria, Pab. 1, 1428 Buenos Aires, Argentina b Facultad de Ciencias Astronómicas y Geof?´sicas, Universidad Nacional de La Plata, Paseo del, Bosque S/N, B1900FWA La Plata, Argentina c Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, México D.F. 04510, Mexico d Instituto de Astronomía y Física del Espacio, Casilla de Correos N 67, 1428 Buenos Aires, Argentina |
| Abstract: | 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. |
| Keywords: | Varying fundamental constants Equivalence principle |
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