Biomedical Engineering Reference
In-Depth Information
theoretical eigenvaluebasisfor QFT.
Ax
=
λ
x
(A.1)
(
x
,
t
)
=
i
∂
H
∂
t
(
x
,
t
)
(A.2)
ω
o
(A.3)
The three equations (A.1)-(A.3) demonstrate the situation
described above. Equation (A.1) is the usual form of a
generalmathematicaleigenvalueequation.Equation(A.2)isthe
Shrodinger equation where the left- and right-hand sides have
beentransposedlefttorightandrighttolefttodemonstratethe
fact that Planck's (reduced) constant
is inserted heuristically
from the experiment in QM.
(Planck's reduced number) is a
consequence of the formulation in Eq. (A.3) and does
not
come
fromexperiment.IfwereworkSFTinthewaveequationsofQFT,
this would result in a new formulation for QFT one that was
deterministic, notprobabilistic.
(b) The equations of SFT are identical with those of uncertainty
(Heisenberg's uncertainty principle [HUP]), except the inequal-
ityconditionisreplacedby
two
equalityconditions,onerelating
tothemotionsduetotheelectriccurrentsandtheotherrelating
to the motionsdue to the magnetic currents of each particle.
p
x
x
≥
m
e
v
2
o
=
2
(A.4)
2
o
m
e
v
=
2
ω
o
(A.5)
2
c
=
2
ω
c
(A.6)
It turns out that in EM applications only two particles can be
connected to each other. They are connected by a stream of
photons. Each domain from cosmological and above, down to
photon and below, can only connect to a small discrete number
of particles (two, three or higher).
(c) WhileBohr'stheoryoftheelectronisstillrecognisedasauseful
theoretical model of the electron in the hydrogen atom, it does
not include a theory of the electron's magnetic (H) field, nor
the proton's. SFT supplies the missing theory for this simple
model.IntermsofSFTBohrtheoryissaidtobe'mono-spinorial',
m
e
v