The 3 Atomic Forces and the Strong Coupling Constant

Key conceptual link that connects the gravitational force and non-gravitational forces is - the classical force limit, $F_C \cong \left(\frac{c^{4} }{G} \right)$. Nuclear weak force magnitude is $F_W \cong \frac{F_C}{N^2}$ where $N$ is the Avogadro number. Relation between the nuclear strong force and weak force magnitudes can be expressed as $\sqrt{\frac{F_S}{F_W}} \cong 2 \pi \ln \left(N^2\right).$ It is noticed that there exists simple relations in between the nuclear strong force, weak force and the force on the revolving electron in the Bohr radius of the Hydrogen atom. An attempt is made to couple the strong coupling constant with these 3 forces.