Distinguishing Behavior by Dimension Using Hemispherical (r_#,θ_#,φ_#,z=X0=½): Defining Radial Behavior as ‘Extra 1/r’ Hooke’s Law Equilibrium-Spring versus Latitude Behavior as Schrödinger Ring-Spring

By applying my hemispherical (r_#,θ_#,φ_#,z=X0=½) replacement for Quantum Number, I isolate subatomic behavior:

• In the radial (r) direction, defining the net of electrostatic and the ‘extra 1/r’ generating linear-spring behavior based upon Hooke’s Law as attraction to Bohr-H, as modified by particle counts, at 1/d increasing strength as always inward towards that equilibrium. That is a dynamic reasoning for electrons in a shell.
  
  In the latitude (φ) direction and axial (rho,φ) plane, by electron subshell sets in each of the two hemispheres locked in rES repelling ring-spring dynamics based upon Schrödinger’s Equation.
  
  In the longitude (θ) direction, understanding the off-radial based upon electroweak theory.

While this explain the (1/2π)^1/3 in Schrodinger’s Equation. Unfortunately, this mixing of spherical and cylindrical requires challenging math for future work.