On the Time Variation of Fundamental Constants

Nikola Perkovic (1)

1 University of Novi Sad

We will define the mass of an electron in the context of Weinberg's empirical formula that relates the mass of a pion to fundamental physical constants, namely the gravitational and Planck constants, the speed of light in vacuum and the Hubble constant. After redefining the Weinberg formula to apply for electrons instead of pions we will add density parameters, used in modern Cosmology, to the Hubble constant in an attempt to persevere the universality of free fall which is one of the corner stones of General Relativity. Universality of free fall is not violated if fundamental physical constants do not vary with time which will be demonstrated in the aforementioned empirical formula for the electron mass and thus, subsequently the proton-to-electron mass ratio, the fine structure constant as well as for the gravitational constant.

Mots clés: Large Number Hypothesis; Cosmology; Hubble Constant; Fine-structure constant

Domaines: Physique [physics]; Physique des Hautes Energies - Phénoménologie [hep-ph]; Relativité Générale et Cosmologie Quantique [gr-qc]

Nikola Perkovic. On the Time Variation of Fundamental Constants. 2019. ⟨hal-02265620⟩