## 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.

See also: Gravitational Constant

## 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.

## Classical Constant Form |
## Wave Constant Form |

Using classical constants | Using energy wave constants |

**Calculated Value: **8.0932E-37

**Calculated Units**: None (*dimensionless)*

*The derivation of this constant is available in the Fundamental Physical Constants paper.*