The equation g=GMm/r^2 is incorrect.

g=GM/r^2 (this is for a body outside of earth; meaning r>R)
g is not gravity; its accelaration due to garvity.

Now the force of attraction that you r talking is really
F = mg for a falling object, since a=g (a of F=ma fate) for an falling object

So ur argument should be based on
F = m(GM/r^2).

I guess this is a gr8 analogy of realtionships with distances.

I like the way you classify relationships.

I don’t agree with the quote though. I feel that “Love acquired quickly is lost double fast”.
U need some distance to foster, cultivate and rekindle ur emotions.

This is where the equation doesn’t hold true.