Particle $FM$ Radio

It was proposed in the post "Sticky Particles..." dated 23 Jun 2016, that at $a_{\psi\,c}$ $\psi$ returns to the time dimension.  It exits from time dimension and return to the space dimension on the outer surface of the particle where $\dot{x}=c$...

If $\psi$ carries information then entanglement as understood, can occur if $\psi$ is returned to the surface of another particle in close proximity in time.

This however is non specific, not two particles are specifically entangled.

Since we are dealing with $a_{\psi}\lt a_{\psi\,\pi}$,

$q|_{a_\psi}=2\dot{x}F_{\rho}|_{a_\psi}$

and the exit point $a_{\psi\,ex}$ at the interior of the particle,

$\cfrac{1}{4\pi a_{\psi\,ex}^2}\cfrac{q|_{a_\psi\,ex}}{\varepsilon_o}=-F_{\rho}|_{a_{\psi\,ex}}.\dot{x}$

where $F_{\rho}|_{a_{\psi\,ex}}$ explicitly points in the negative $x$ direction.

And the rate of change of $F_{\rho}$, $\cfrac{d F_{\rho}}{dt}$,

$\cfrac{d F_{\rho}}{dt}=-\cfrac{dF_{\rho}}{dt}.\dot{x}+\cfrac{d\dot{x}}{dt}F_{\rho}$

For the time being,

$F_{\rho}=F_{\rho}|_{a_{\psi\,ex}}$

$\cfrac{dF_{\rho}}{dt}=0$

$\cfrac{d F_{\rho}}{dt}=-\cfrac{d\dot{x}}{dt}F_{\rho}|_{a_{\psi\,ex}}$

We can change $\dot{x}$ through the spin of the particle.  $\dot{x}$ is always relative to space around the particle.

$\cfrac{d F_{\rho}}{dt}$ acts to counter the spin at the surface of the particle and if and when $\psi$ returns to the space dimension on the surface of another particle, induces a opposite spin on that particle.

From the post "A Mass In Time And In Mind" dated 04 Jul 2016,

$\cfrac{dF_{\rho}}{dt}=\cfrac{1}{c}\cfrac{d^2KE}{dt^2}$

$\cfrac{dF_{\rho}}{dt}$ is a force on a mass $\cfrac{1}{c}$ in the time dimension  (equivalent to $m$ in the space dimension).

Entanglement here is made specific by creating two or more particles at the same time and thus be in close proximity in time.

If we modulate $\dot{x}$ then we have a particle $FM$ radio, because changing $\dot{x}$ changes the frequency of $\psi$.  If spin is difficult to detect then,

$-\cfrac{d\dot{x}}{dt}F_{\rho}|_{a_{\psi\,ex}}=\cfrac{1}{c}\cfrac{d^2KE}{dt^2}$

offers a direct way for detection as the second order time derivative of kinetic energy, $KE$.

Note: Claude E. Shannon, Information is "entropy".  Information is energy need to wait...