An apparent quantitative relation between Newton's law of universal gravitation and Coulomb's law derived from a geometry-based hypothetical system

In a previously derived geometry-based energetic expression, the Newtonian gravitational constant (G) is apparently related to the Planck constant (h) such that the accepted value of G can be calculated from that of h. Here, based on that expression, the relation between Newton’s law of universal gravitation and Coulomb’s law is evaluated. This evaluation in turn yields the apparent relation between G and the Coulomb constant (k_e) that G/k_e = [m/(c s)]^2[10^(-3)*(1+1/phi^2)ln(phi^2) - h*10^30 s/(kg m^2)](C/kg)^2 and, furthermore, the relation that c = {alpha/[2pi*G(q_e)^2]}[ h*10^(-3)*(1+1/phi^2)ln(phi^2) – h^2*10^30 s/(kg m^2)](s C / m kg)^2, in which c is the speed of light in vacuum, q_e is the elementary charge with the unit C, alpha is the fine-structure constant, and phi is the geometric-constant golden-ratio. In terms of h, the latter relation is a quadratic equation. One solution of this equation is, as expected, the accepted Planck constant itself whereas the other solution has the significant digits of G. Furthermore, from the relation, the gravitational potential energy could be expressed in two mutually nonexclusive forms in terms of temporal and spatial frequencies, or in terms of curvature