More And Smaller

If,

$a_{\psi\,74}=14.77$

and from the post "Sticky Particles Too...Many" dated 24 Jun 2016,

$\cfrac{n_1}{n_2}=\left(\cfrac{a_{\psi\,n_1}}{a_{\psi\,n_2}}\right)^3$

$a_{\psi\,c}=a_{\psi\,1}=3.52\,\,nm$

This is the size of the smallest particle possible, breaking off from the tip of a sonic cone in a sonic boom or when big particles disintegrate in high speed collisions.

This particle has $\small{\cfrac{1}{4}}$ the charge magnitude (gravity, electric or temperature) but $\sqrt [ 3]{\cfrac{1}{74}}=0.2382$ the radius of a big particle.

But the classical electron radius is quoted at,

$r_e=2.817 940 3267[27] e-15\,\,m$

What is this value $a_{\psi\,1}$, a million times bigger?  Then again, the visible spectrum is $390\le\lambda_{vis}\le 700\,\,nm$; can we expect particles that are photons to be that much smaller that their wavelengths?

$\lambda_{\psi}$ or $\lambda_{n}$ is not $\lambda_{vis}$!

Could it be that $r_e$ measured under the formulation for point particles, is actually the size of the void where $v=c$ along a radial line, at the perimeter of this void?

Which suggests that interactions between particles allow overlaps in $\psi$ and that such interactions (mechanical/gravitational, electrical, ie field interactions) is limited down to $r_e$, below which $\psi$ does not exist.

$r_e$ is the size of the hole in all particles that changes with exterior conditions acting on $\psi$.  Pushing $\psi$ at the start of the plateau in the $\psi$ vs $x$ graph, at resonance frequency, increases $r_e$ and the over all size of the particle.

Maybe...