Explaining Bose “Cylinder Surface” Units Based Upon Integrals Over Particle-Specific ‘Extrastatic’ Axis for Three Core Interactions in Hemispherical (r_#,θ_#,φ_#,z=X0=±½)

A math approach and 3D engineering provides equilibriums for “cylinder surface” units in Bose proof of statistical mechanics.

• The ‘particle’ integral over the particle itself becomes ‘extra 1/r’ by my xtrastatic physical model replacement for the correct math, but failed 3D engineering for Bohr ‘angular momentum.’
  
  With standard radial electrostatic (rES) the above, this isotropic, radial extrastatic (rXS) core interaction causes the radial equilibrium at Bohr-H for simplest one-proton, one electron systems.
  
  A separate ‘wave’ axial xtrastatic (aXS) integral interaction over the axis of the remote particle towards its extrastatic axis provides the anisotropic, towards-the-axis basis for the Bose cylinder.
  
  Axial equilibrium gets achieved by the e-e rES repulsions of like-kind electrons in the same subshell and hemisphere axial-outward versus the above aXS axial-inward. This dynamic cause the latitude dynamic of the Schrödinger equation and its 2π.