If this is the torus photon,
we can approximate,
E=hf=h∗2πaψlv=12mv2boomE=hf=h∗2πaψlv=12mv2boom
that all energy due to vboomvboom is stored in aψlaψl and the initial energy before impact and also the energy of the photon upon collapse remains unchanged in aψsaψs.
We are not going to get mm, because,
h=2πaψlmch=2πaψlmc
So,
2πaψlmc∗2πaψlv=12mv2boom2πaψlmc∗2πaψlv=12mv2boom
v2boom=2(2πaψl)2cvv2boom=2(2πaψl)2cv
vboom=√2cv∗2πaψlvboom=√2cv∗2πaψl
or
aψ,l=vboom2π√2∗√vcaψ,l=vboom2π√2∗√vc
We may also define a kψkψ such that,
12ka2ψl=12mv2boom=h∗2πaψlv=(2πaψl)2m∗cv12ka2ψl=12mv2boom=h∗2πaψlv=(2πaψl)2m∗cv
k=8π2cvmk=8π2cvm
as if the photon is a spring extended to accommodate and store the energy in vboomvboom. Naturally,
fres=12π√km=12π√8π2cv=√2cvfres=12π√km=12π√8π2cv=√2cv
This means a collision frequency at fresfres will stretch a torus photon along its larger radius. Given EpEp as the energy per photon, a power setting of,
Pres=fresEpJs−1Pres=fresEpJs−1
will create a halo around the ray impacting a blocking medium. Since EpEp is very small, PresPres is low, the effect of which is small.
fresfres is the frequency to resonate a torus photon and may also be the frequency to grow a basic particle, because if the torus collapses,
aψl→aψs=aψcaψl→aψs=aψc
v→cv→c
fres→√2fres→√2
Given a simple string-ball pendulum,
f=12π√gl=√2f=12π√gl=√2
l=g8π2l=g8π2
g=9.806ms−1g=9.806ms−1
l=0.1242ml=0.1242m
Do the balls heat up, start to glow, become positively charged and explode?