Physical Science International Journal

The mass in Einstein’s energy-mass equivalence equation has two possible interpretations, whether it is limited to the invariant mass, or it applies to all energy. This paper argues that all of the energy (kg m² s⁻²) has a mass (kg: a degree of weight and inertial resistance). The inertial mass is a mass that was further scaled the gravitational mass to be increased with kinetic energy. The inertial mass of elementary particle in an atomic system also varies similarly by scaling. Thereby the scalable inertial masses of elementary particles constituting the atomic add the gravitation that cannot be ignored as compared with the Coulomb force. We call this effect “Inverse fourth power (1/r⁴) gravity” to distinguish it from universal gravitation of the universal gravitational constant. Using these mechanisms, we explain the proton radius puzzle and the statistical error found with the muon anomalous magnetic moment. This paper demonstrates a new way of integrating general relativity and quantum theory by separating the scalable inertial mass and the gravitational mass.