Candidate Planck (hc) Electrostatic Equations With Split Strength Constant (1/α) as Scaling Factor (r/α²) for Potential, (r/α)² for Force as Particle Radius Versus the Bohr Radius Distance Ratio Square Root Defines ‘Charge’

I examine the first fundamental force, electrostatic force, using my candidate equation to describe physical model underlying the proportionality, splitting abstract constants into a) a field strength constant part as (1/α), and b) field scaling factor, re-engineered as the potential equation scaling at 1/(r/α²), but force scaling at 1/(r/α)² and field scaling at 1/(r/α)³:

That charge is the growth in strength, at the particle edge (r_e), because the base hc strength constant is calculated as a relative interaction at the Bohr radius (a₀). Yet, the proper scaling then changes that to full ‘charge’ strength at the particle edge (r_e). Further, that the field strength is simplely hc.

However, the current abstract electrostatic equations, like Coulomb’s ‘k’ and others failed to properly isolate strength and scaling. As a result:
Planck’s constant strength is maintained for the overall unfailingly, So that 1/α transformation in strength matches reciprocal α in scaling, so net to =1.sign.

This equation improves a broader class of interactions, including Slater Type Orbital normalization or re-normalization exponent as scaling (1/(r/(a₀/r_e)).