A $\Psi$ Gun

If we express $f_{res}$ in terms of $a_{\psi}$, the extend of $\psi$,

$a_{\psi}=\cfrac{\pi \sqrt { 2{ mc^{ 2 } } }  }{G}$

$f_{res}=\cfrac{sech(\pi)}{2\pi}\cfrac{G}{\sqrt{m}}=\cfrac { sech(\pi ) }{ 2 } \cfrac { \sqrt { 2{ c^{ 2 } } }  }{ a_{\psi} }$

$f_{res}=\cfrac { \sqrt { 2 }  }{ 2 } sech(\pi )\cfrac { c }{ a_{\psi} }$

$f_{res}=0.061\cfrac { c }{ a_{\psi} }$

Does the system work in reverse?  Once $\psi$ is set into resonance, and $f_{res}$ is reduced does $a_{\psi}$ increases.

Can a shield be projected forward by suddenly decreasing $f_{res}$ and turning off.  In effect, an energy density $\psi$ projectile.

And I continue to dream anime...   看$\psi$！