Boundary Between Wave And Particle Interaction

What if,

$h_o=2\pi a_{ \psi  }mc$

is not a mistake.  That, this is the case of many particles of different $a_\psi$, superimposed onto a common center.  And that a particle dropping from a higher $a_\psi$ to a lower valued $a_\psi$ does emitted a photon.

At this point we don't have a picture of orbiting particles.

However, from the post "Positively Charged Absurdity", we do have two particles with a common $a_\psi$ superimposed together producing a outward positive $F$ (Newtonian) around them.

A particle with $a_\psi$ has a negative $F$ between zero and $a_\psi$, so such a particle is attracted to other particles of the same type within the circle transcribed by $a_\psi$ but is repulsive to other particles of the same type beyond the same circle.

Two particles on each others' $a_\psi$ circle is attracted to each other and as a pair repulse other particles of the same type.  They present themselves as a peculiar stable pair.

If particles interact at sufficiently great distances that the solutions to $F_\rho$ and $\psi$ for the particles involved does not change, then their interactions can be regarded as the particles with a constant force field around them. For example, a charge with a E field around it or a mass with a gravity field around it.

If however, the particles are at close proximity, then their $F_\rho$ interacts as shown by the graph below,

Within an interaction distance of $x=5$, the shape of the $F_\rho$ curve and so, the $\psi$ curve changes.  Beyond $x=5$, individual particles' $F_\rho$ curves add like integer.

$\cfrac { G }{ \sqrt { 2{ mc^{ 2 } } }  }x_b=5$

$x_b=5\cfrac{\sqrt { 2{ mc^{ 2 } } }}{G}$

where $x_b$ is the boundary between wave and particle interaction.  In this context, wave interactions are defined as when such interactions result in changes to $\psi$ around the particle(s).