Gravity Coupling Constants

Explanation

The Gravitational constant (G) was derived after deriving the gravitational coupling constants for the electron (α_Ge) which is explained here. Classically, the coupling constant is the ratio of gravitational force of two particle masses versus the electric force of two particle charges. But this doesn’t describe what it truly is. In wave equation format, it is explained as a slight reduction in wave amplitude at the electron’s core – the slight difference in wave amplitude between the longitudinal in-wave and longitudinal out-wave. The proposed reason for the amplitude reduction is the transfer of the energy for particle spin. This is illustrated in the next figure.

Derivation – Gravitational Coupling Constants

Electron Gravitational Coupling Constant

The coupling constant for the electron is classically derived as square of the Planck length and the fine structure constant, divided by the square of the electron’s classical radius. The classical derivation comes from the geometric ratio of surface areas that affects all forces, explained in the unification of forces.

Classical Constant Form

Wave Constant Form

Using classical constants

Using energy wave constants

Calculated Value: 2.4005E-43
Calculated Units: None (dimensionless)

Alternative Derivation

An alternative derivation is shown to compare the gravitational coupling constants for the electron and the proton (below). In this derivation, the relationship of the gravitational constant (G) and Coulomb’s constant is found. The only different between the coupling constants for the electron and proton are their masses (m_e and m_p).

Proton Gravitational Coupling Constant

The coupling constant for the proton is classically derived similar to the electron (alternative derivation), but replacing electron mass with the proton mass. It is not derived naturally by Planck constants.