Biomedical Engineering Reference
In-Depth Information
pointsforinterplanetarytravel.Similarstreamscomposedofbosons
existat all levelsof gravitationalstructure.
3.2.2
Bosons and Gravitational Structure
Binney and Tremaine in 1987 approximated the galactic tide within
the GP as a function of
x
and
y
with no gravitational effect due to
the
z
direction using a Cartesian system at the GC. Klacka in 2009
derivedanequationofmotionforthegalactictidethatincludedthe
z
component.Thustherearethreecomponentsofgalacticgravitation
distinctfrom the twocomponentsofgravitation ofthe solarsystem.
These three components of gravitation link directly to SFT where
theSNforcesinvolvethreedegreesoffreedom.Fleminghasrecently
discussed the relationship between gravitation and the differential
forms of ML equations. While the photon has an internal structure
consistingoftwointernalparticleshavingequalmass,thegluoncan
byanalogybedescribedasathree-particleinternalstructure.Atthe
EM level the ML equations are written in matrix form, where each
particle has twospinor motions
σ
i
anda current
κ
EM
EM
j
.
M
EM
ij
EM
i
EM
j
(3.2)
The motion of the electron is an exact EM self-field solution,
its position at any time is the sum of two spinors forming a
bispinorial motion
σ
=
κ
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: The electron's motion has four unknowns, as shown in
Fig. 3.3:
σ
EM
ω
o
)and
σ
EM
o
(
r
o
,
c
(
r
c
,
r
EM
r
E
o
,
ω
c
=
r
E
o
e
j
ω
o
t
+
r
E
c
e
j
ω
c
t
(3.3)
The SN formulation can be written using Eq. (2.6) in compact
form, where each quark has trispinorial motions
o
,
r
E
c
,
ω
EM
EM
σ
SN
i
and currents
κ
SN
j
.
SN
j
(3.4)
The quark motions may be an exact SN self-field solution,
depending on the energy densities, their position, the sum of three
spinors forming a tri-spinorial motion
M
SN
SN
i
σ
=
κ
ij
S
o
(
r
o
,
S
c
(
r
c
,
σ
ω
o
),
σ
ω
c
)and
S
t
(
r
t
,
σ
ω
t
). In this case the total distance of the quark is written as
