Biomedical Engineering Reference
In-Depth Information
Figure 1.6
CompositephotonmovingpastpointOalongthe
x
axisrotating
in the
xy
plane.
the universe, the photon's self-energy is significant and it basically
'freezes' and can remain in an isolated state where it performs bi-
spinorial rotations about a point in space. Above this energy level
the photon's self-energy becomes insignificant and it obeys outside
influences to its motion, moving at the speed of light. In this mode
thephotonactsasabindingenergybetweeninanimateparticlesand
in specialised roles withinbiologicalsystems.
Looking at Fig 1.7 we might model the wave packet in a
somewhat unphysical fashion, as a single particle rotating around
a centre of motion while translating along the
x
axis. In this case
uncertainty
x
in the
x
direction involves a trigonometric function
in
θ
and the scalar radius
r
of the photon's internal motion.
x
ranges from positive to negative in keeping with the wave motion.
Similarly the uncertainty in momentum
p
is also a function of
θ
and
r
,aswellastheparticle'smass,andalsorangesfromnegativeto
positive. Attempting to investigate uncertainty in this case leads to
an unphysical result. It is only when the photon is modelled by two
particles, as in Fig. 1.6, the uncertainty function becomes balanced
q
2
ω
γ
v
e
4
c
ω
γ
of the photon with that of the electron
m
γ
c
2
ω
γ
is the
integer transit frequency of the photon within each cycle of the electron. For the
atom to maintain its periodicity
N
γ
the number of complete transits per atomic
cycle must be an integer. Ignoring any non-linearities, the electron's motion can be
modelled as piece-wise linear. This collision-based form of periodic motion by the
electron illustrates the non-classical, quantum nature of SFT. Assuming a polygonal
motion circumscribes a circle representing the Bohr mageton, the photon collision
frequency was estimated as 53 to several places of significance from the known
value of the Lande g-factor assumed precisely known from both measurement and
quod erat demonstrandum (QED) theory. More refined calculation may be needed
to validate
N
γ
as the orbit is actually non-linear. The experimentally known fine-
structure constant can also be used to estimate the solution as
N
γ
=
54. This was
the solution chosen to estimate the photon mass.
=
=
πε
0
c
,where
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