\(hf_{osc}\) does not return to the space dimension with the collapse of resonance. When \(\psi\) accelerate to light speed near the center of the particle, it is transported to the time dimension. Collision in the time dimension triggers an entanglement event. Such collisions in the time dimension is the cause of entanglement. This damps the oscillations in the particle as energy is lost. After the collision in time, \(hf_{osc}\) returns to the space dimension,
displaced from its location where it first disappeared (the center of of the oscillating particle).
If all these speculation is true, this is how entanglement can be trigger periodically using \(hf_{osc}\). A bombardment of \(hf_{osc}\) replenishes energy loss as impacted \(hf_{osc}\) returning from the time dimension is displaced outside of the oscillating particle. If \(hf_{osc}\) triggers an entanglement event in the time dimension immediately, ie collides with some other particle in the time dimension upon arrival, then entanglement is also periodic.
Loss through displaced \(hf_{osc}\) can be reduced by using a big oscillating particle.
But with whom does \(hf_{osc}\) collide? Another big oscillating particle created at the same time.
So we need, two simultaneous big particles and lots of \(hf_{osc}\). We may also differentiate \(hf_{osc\,c}\), impacting particles that attained light speed inside the big particle and \(hf_{osc\,t}\), particles that returned from the time dimension after triggering an entanglement event.
The frequency at which \(\psi\) is replenished is \(f_r\). When,
\(f_r\gt f_{osc}\)
the big oscillating particle increase in \(\psi\) and \(f_{osc}\) decreases via,
\(f_{osc}=c\sqrt{\cfrac{2\pi}{a_{\psi}}}\)
because \(a_{\psi}\) increases. When,
\(f_r\lt f_{osc}\)
oscillations may stop and start with every impact and loss of \(hf_{osc}\). When,
\(f_r=f_{osc}\)
and very passing of \(hf_{osc}\) through the center of the oscillating particle, transports one \(hf_{osc}\) (\(hf_{osc}\rightarrow h_{osc\,c}\)) to the time dimension (at a frequency of \(2f_{osc}\)), oscillation is sustain without the oscillating particle growing bigger when the return particle \(hf_{osc\,t}\) is displaced outside of the oscillating particle, ie lost.
We might have \(hf_{osc\,r}\) for returned particles that is retained inside the oscillating particle and \(hf_{osc\,l}\) for returned particles that is lost.
The simplest communication coding will be a burst of entanglements over a clocked period to signal "\(X\)" and none for "\(Y\)". And to add noise resilience, a coded "\(XXYY\)" for the binary "\(1\)" bit and "\(XYXY\)" for the binary "0" bit.
And lastly, \(a_{\psi}\) the size of the particle oscillating at \(f_{osc}\) as governed by,
\(f_{osc}=c\sqrt{\cfrac{2\pi}{a_{\psi}}}\)
It is possible to change \(f_{osc}\) by changing \(a_{\psi}\) through the bombardment with \(hf_{osc}\) at different \(f_r\); as such \(FM\).
The size of \(hf_{osc}\) is not fixed by \(f_{osc}\). So we have a new parameter \(a_{\psi\,hf}\), the size of \(hf_{osc}\), in addition to \(a_{\psi}\), the size of the oscillating particle. Adjusting \(a_{\psi\,hf}\) can change the fate of the returning \(hf_{osc\,t}\); loss or be retained inside the oscillating particle.
Good day.
Note: \(\psi\) is energy density not energy. \(hf_{osc}\) indicates a certain amount of energy; as \(\psi\) varies, the \(\psi\) ball that contains this amount of energy is of different size. ie \(a_{\psi\,hf}\) varies.
