Biomedical Engineering Reference
In-Depth Information
symmetry is problematic. The bi-spinor field variables of SFT are a
priorirelativisticanditssolutionsanalyticratherthannumerical.In
EM applications gauge symmetry is maintained by analysing pairs
ofparticlesandnotjustsingleparticles.Similarlyapairofconjugate
photons of finite mass do not constitute '
symmetry breaking
'ofthe
Lagrangian as in QFT.
2.3 Strong Nuclear Fields
One important aspect of SFT and the bi-spinors that represent
the EM motions of the electron, the proton and the photon is the
hypothesis that there is an associated relationship based on tri-
spinors that represent the strong nuclear motions of quarks and
gluons inside the proton. As is well known, there are three quarks
insidetheproton.Inthiscasethereisaself-fieldinteractionbetween
triplets of quarks where the interaction sub-matrix is of size 3
×
6 per particle, as distinct from the EM field sub-matrix that is
of size 2
×
4. Now each particle has
three
spinors that mutually
link the three quarks together. Each spinor operates in a plane,
and the three planes form an orthogonal set in three-dimensional
(3D) space. This means that there exists a system of Maxwellian
equationshavingadditionaldifferentialcomponentssuchastoform
four scalar equations instead of the three associated with Maxwell's
EMequations.
Like the EM interaction the strong nuclear fields controlling
the motions of charged particles satisfy the following adaptation
of the ML equations. In general, the region is assumed isotropic
and homogeneous, and
μ
n
are invariant scalars. Where
nuclear sub-particles, quarks, carrying units of elementary charge
q
q
are studied, the modified ML equationscan bewritten
∇•
E
=
ε
n
,
μ
n
and
q
q
v
q
(2.5a)
∇•
H
=
0
(2.5b)
∇•
N
=
0
(2.5c)
∇×
E
+
μ
n
∂
H
d
t
=
0
(2.5d)
