Biomedical Engineering Reference
In-Depth Information
In SFT the ML equations, Eqs. (1.1a-d), can be algebraically
rewritten in matrix form as in Eq. (1.5) where each particle has two
spinor motions
σ
E
i
and a current
κ
E
j
.
M
EM
ij
EM
i
EM
j
σ
=
κ
(2.3)
The motion of the electron is an exact EM self-field solution, and
its position at any time is the sum of two spinors forming a bi-
spinorial motion
σ
E
c
(
r
c
,
ω
c
), where the distance of
the electron is written as a sum of the spinors, not a Pythagorean
root mean square but a function of orthogonal orbital and cyclotron
spinors:
E
o
(
r
o
,
ω
o
)and
σ
r
EM
r
E
o
,
ω
E
c
=
r
E
o
e
j
ω
o
t
E
o
,
r
E
c
,
ω
+
r
E
c
e
j
ω
c
t
(2.4)
If the intrinsic energy of the system changes from that of free-
space
ε
o
and
μ
o
the EM fields within the atom can adjust, altering
the atomic and molecular binding structures. In effect this means
that the radial and spin states of the two photons involved in the
binding energy can adapt to the energy change where the photons
themselves are assumed to have a composite structure. Now the
system has six degrees of freedom, including the E and H fields, in
response to the change in ambient energy. The two extra variables
givearangeofvariationorthogonaltothephasediagramsofatoms.
A typical phase diagram shows only a solid line separating the
various phases. SFT indicates a small range of binding structures
that depend on the intrinsicenergy of the system.
ThephotonstreamsofSFTaretakenbetweencentresofrotation,
not between charges as in CEM and QFT. Thus two distances are
involvedinthebi-spinorialmotionandnotone.ThefieldsinSFTare
discrete quanta, photons, rather than the continuous vector fields
of CEM. QFT also models the fields as discrete quanta. However,
each individual field in QFT may be taken over the entire range
of solid angles connecting any number of particles, depending on
the geometry and number of interacting atomic particles. The field
can be shown as a small wavy line within Feynman diagrams (see
Fig. 2.2), but the QFT mathematics does not specify any actual path,
only the start and end points where Dirac-delta functions are used
toinsertpropagatorkernelsandGreensfunctions,dependingonthe
field and its geometry. In QFT the field is actually a potential, not
