On the Calculation of Elementary Particle Masses

Abstract

With an exponential model including the gravitational constant as a time dependent parameter a mass function is derived where elementary particle masses are combined and related. The proton mass m_p is derived as a function of the electron mass m_e and fine structure constant α as m_p=1,672621*10^-27 kg (1,672622*10^-27 kg, Δm/m=6*10^-7), the measured mass and the relative deviation of both are in brackets. The neutron mass then is calculated as a function of m_p and α as m_n=1,67492745*10^-27 kg (1,67492747*10^-27 kg, Δm/m≈10^-8). The tau mass is expressed as a function of m_p and m_e resulting in m_τ=3,16750*10^-27 kg (3,16750*10^-27 kg, Δm/m≈10^-5). The results for the neutron and tau are within the estimated standard deviation of the experimental values.