Mathematical model of the Space
4. Characteristics of an electron and a
positron
The vortical package
of waves electron and a positron cooperates with environmental Vacuum, raising
electromagnetic waves and displacement of M+ and
M-. Thus there is a wave stream of Vacuum. On fig. 3
directions of streams of M+ and M- in
electromagnetic waves of electron are shown. Streams of
M+ and the M- in electromagnetic waves of a
positron have an opposite direction.
Fig. 3
Along an axis of
rotation electron influence of traces of photons, units of the lowered density
of M+, raises streams of a positive charge of Space in a direction of
these units. But these units move with speed of a wave, therefore streams of the
raised density of a charge will penetrate only into frontal area moving after a
photon carrying too a positive charge. Influence of a field of a photon the
stream of M+, a positive charge, is thrown out in a radial direction,
getting the spiral - spherical form repeating the spherical form of unit of a
photon and spiral, as consequence of its rotary direction of
movement.
Along an axis of
rotation electron influence of photons raises also streams in
M-. But photons move with speed of a wave, therefore
the M- will penetrate into frontal area of traces of
photons and by their repellent force is thrown out in a radial direction. Thus,
units of the lowered density of M+ electron create spiral - spherical
streams of M, a negative charge. Around electron there are electromagnetic
waves, which carry out carry of charges. Thus radial streams become isolated
with axial, forming the dual toroidal quantum field of active Vacuum. The
maximal intensity of fields will be along an axis and in a radial
direction.
The positron is born
in the field of a negative charge, its power leaders are antiphotons, and units
of a positive charge are their traces. The physics of process of excitation of
spiral - spherical streams of a negative charge and formation of electromagnetic
waves by nothing differs from electron. But streams of a charge of a positive
mark will have an opposite direction. Hence, and intensity of fields in absolute
system of coordinates will have an opposite mark.
Each unit of density
of M+ and the M- generate the spiral stream
having the maximal value of density Рmax on distance L=1. The density of
M+ and M- by a spiral will be
reduced
РL= 1/L · Рmax
Intensity of an electric field of gravitation in system of
coordinates of a spiral accordingly will be on distance L
ELeg = 1/L · Emaxeg
(35)
And
intensity of a magnetic field of gravitation will be
НLg =
1/L · Hmaxg
(36)
It
reflects change of quantity of movement of a charge owing to his(its)
distribution on a spherical surface of a wave. Full quantity of
movement
0 ∫S/2 НLg = Const,
Where
S/2 - the area of a hemisphere of a spiral - spherical wave on distance L from
an electron or a positron.
The gradient of weight
and gradient of the force working on this weight, on length of a spiral will
change proportionally
MLg = 1/L · Pmaxg;
fLg = 1/L · Pmaxg
(37)
Consequence of it will be the gravitational in regular intervals
accelerated movement of M+ and M- on spirals
aG = fL / ML = 1
(38)
Let's consider
characteristics of electric and magnetic spiral fields on an example electron.
The gravitational stream of M+ and M- achieves speed C in
time
t = Tγ / 4
Where
Tγ - the period of photons in structure
electron.
From
here
aG = 4С / Tγ
(39)
Length of a spiral up
to a point on distance R from unit electron
LR = Lav n = Lav · R / λ
(40)
Where
Lav - length of a circle in radius R/2,
n - number of lengths λ waves on radius R,
then
LR = 2πR /2 · R/λ = πR2 / λ
(41)
Time, during which
M+ and the M- run distance LR, moving with
constant acceleration,
tL = TγR / λ
(42)
Speed of
movement of M+ and M- on a spiral on
distance R from an electron
VRg = 2Vavg =
2πR2/ λ ·
λ / TγR =
2πR / Tγ
(43)
Speed of
an electromagnetic wave
С = R /
tL = Rλ /
TγR = λ /
Tγ = Const
(44)
Ratio of
wave and gravitational speeds of moving of M+ and
M-
VR g = 2πR / Tγ = С2πR / λ
(45)
The
density of M+ and the M-, moving on a
spiral, will be on distance R from an electron
PR =
Pγ / LR = λPγ / πR2
(46)
Intensity of a radial electric field is equal
ERe =
EReg = Eγeg /
LR = λEγeg/
πR2 = 2CEγeg/ ωγ
R2
(47)
Thus,
characteristics of an electric field reflect dependence of characteristics of a
spiral electric gravitational field on distance up to a source on a straight
line. From (47) it is visible, that if the gravitational field has intensity
which size is inversely proportional to distance the electric field has
intensity which size is inversely proportional to a square of distance up to a
source.
On fig. 4 vectors of
intensity of an electric field and an electric field of gravitation on distance
R from a positron are shown. Electron has an opposite direction of vectors
intensity fields.
Fig. 4
Intensity of electric field ERe is directed
perpendicularly spherical surface of these waves, and intensity of electric
gravitational field EReg is directed on a tangent
to a spherical surface.
ERe =
Eγegλ / πR2
(48)
The electric
gravitational field is a field of circulation of a vector of intensity around of
an axis of rotation of a positron or an electron. This circulation has
characteristics of a magnetic field. Intensity of a magnetic field is equivalent
intensity of an electric gravitational field.
НR =
EReg = 1/L · Eγeg
(49)
Electron, formed in
rotating units of the increased density of M+ and the
M- has the positive mechanical moment. The direction of
rotation an electron can be left or right. We shall accept, that the vector of
mechanical moment PS is directed on an axis of rotation and
forms with a direction of rotation system of the right
screw. PS - backs of electron, characterizes inertial
system of rotation. At the same time this system creates acceleration of
weights, that it is typical of magnetic fields. Acceleration of M+
and M- is carried out by spirals of spherical
waves in environmental space. Therefore the mechanical system has also
properties of magnetic system. The vector of the magnetic moment
РmS is directed on an axis of rotation and forms system of the
right screw with a direction of movement of M + and M on spirals of waves. With
a direction of rotation an electron the vector
РmS forms system of the left screw.
On fig. 5 directions
of vectors of the spin mechanical and magnetic moments of the electron are
shown.
The positron has an
opposite direction of vectors spin.
Fig. 5
Let's accept a symbol
(block diagram) of an electron and a positron, reflecting character their
electric and magnetic fields it agrees fig. 6.
Fig. 6
In figure it is shown
the electron, having backs PS by a direction upwards, of the
right screw system rotations. The positron in figure has backs
РS a
direction downwards, of the left screw system rotations. Spiral - spherical
waves of M+ and M- are absorbed by an
electron an axial direction from below and from above and thrown out in a plane
of rotation of units. The positron absorbs M+ and
M- in a plane of rotation of units and throws out
upwards and downwards on an axis of rotation.
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