A Note on the Dimensionless Gravitational Coupling Constant Down to the Quantum Level

Abstract

In this paper, we rewrite the dimensionless gravitational coupling constant: αG, in a different form than has been shown before (without changing its value). We demonstrate that the dimensionless gravitational coupling constant is simply related to the Planck length squared, divided by the reduced Compton wavelength squared, of the mass in question. This could be useful for understanding how the ratio of the gravitational force versus the Coulomb force is linked to the quantum scale, which is linked to the Compton wavelength and the Planck length

A Note on the Dimensionless Gravitational Coupling Constant Down to the Quantum Level