Calculation of the Hubble Constant, the Minimum Mass and the Proton Charge Radius Using the Dirac's Hypothesis on the Ratio of the Electrostatic Force to the Gravitational Force

Abstract

Currently, several physical constants are determined by observation. This is the case for the Hubble constant and the proton charge radius whose observed values involve large uncertainties. This publication suggests that these values could be calculated more precisely using algebraic equations involving other physical constants. To do so, some assumptions must be put forward, namely, the Dirac's hypothesis on the observed ratio of the electrostatic force to the gravitational force. The approach used also allows calculating the value of a minimum mass. The calculated value of the Hubble constant is: H ≈ 72.013 km s^‑1 Mpc^‑1, and that of the minimum mass: M_min ≈ 1.7206×10^‑68 kg. Recent observations suggest that the proton charge radius could also be calculated using an additional but related assumption: r_p ≈ 0.8264 fm.