136
elementary vortices
With the classical radius of the electron r
e
= 2,82 * 10
-15
m:
C
e
=
= 3,135 • 10
-25
F
(6.4*)
U
e
= e/C
e
= 511kV
(6.31*)
(constant independent of r
e
)
Formation forms (vortex properties):
I. Amassing (formation of vortex balls):
II. Overlapping (phenomenon of transport)
Fig. 7.1: The amassing and overlapping of elementary vortices
Proof
137
7.1 Elementary vortices
We had derived the electron and the positron as elementary vortices (fig. 4.3). Before we
can go in the calculation, we must gain a clear picture of the possible configurations of
vortices, which for reason of the derived properties are possible. For that we start with the
elementary vortex and afterwards we predict the behaviour of interaction which can be
expected.
Actually only one single particle is really elementary. According to the realizations of the
new theory it is an elementary vortex in the form of a sphere. Its size is determined by the
speed of light and this again by the local field strength; its stability is founded in the
concentration effect of the potential vortex. The whirling takes place everywhere with the
speed of light, even in the vortex centre, where all field lines run together, where the field
increases infinitely and the speed of light goes to zero. This last circumstance owes the
elementary vortex its localization.
We can attribute a charge to this vortex for reason of the field lines which on the outside
run towards infinity and which we can measure (fig. 4.3). This
is the smallest indivisible
unit, the elementary charge e. Structure and course of the field lines suggest to understand
and to calculate the elementary vortex as a spherical capacitor. By basing on the classical
radius of the electron r
e
given in fig. 6.3 the capacity according to equation 6.4 is
calculated to be:
(6.4*)
Here the theory of objectivity has provided us the realization that even for a change of the
radius of the electron the capacity remains unchanged constant (6.30), and this entirely
corresponds to our observation.
Between the hull of the elementary vortex, measured at the radius r
e
, and its centre,
respectively also with regard to infinity, there exists according to equation 6.31 the tension
voltage of:
U
e
= e/C
e
= 511 kV
(6.31*)
It as well is constant and independent of the size of the elementary vortex.
Since a different solution is refused, we'll have to assume that all elementary particles
consist of an integer multiple of elementary vortices. For that the amassing, like closely
packed tennis balls, or the overlapping of individual vortices in the form of shells, like in
the case of an onion (phenomenon of transport) can be considered.
The among each other occurring forces of attraction can be traced back to the fact that
every elementary vortex is compressed by the field of its neighbour as a consequence of
the field dependent speed of light. This field as a rule is for the small distances
considerably larger than the field on the outside. Therefore do compound elementary
particles not have the twofold or triple mass, but at once the 207-fold (myon) or the 1836-
fold (proton) mass. After all there is no other explanation for the fact that there don't exist
lighter particles (with a mass less than 207 electron masses)!
139
7.2 Matter and anti-matter
For the amassing or overlapping of elementary vortices several cases must be distin-
guished, because two inverse forms of formation are possible for the elementary vortex:
the negatively charged electron and the positively charged positron. Whereas in the case
of the electron the vortex produces a component of the electric field which points from the
inside to the outside, has the field in the case of the positron the opposite direction for
reason of a reversed swirl direction.
This statement can be generalized: if we consider the elementary particles from the
outside, then we assign the particles with a swirl direction identical to that of the electron
to the world of matter and call the particles with the opposite swirl direction anti-matter. It
now is strongly recommended, to take colours to hand, in order to optically clarify the
properties of vortices. The electron will be marked as a green sphere and the antiparticle,
the positron, as a red sphere.
If we now look into the world of matter, then appears our world of matter to us "green",
the world of anti-matter however "red". The uniform green colour of all the in our world
existing elementary particles however doesn't exclude that red anti-vortices can exist
hidden in the inside
of the green vortices, where we can't discover them. But they must be
completely covered, otherwise a disastrous reaction occurs, the pair annihilation, as a
consequence of the oppositely directed property of the vortices which cancel out.
By means of the pair annihilation a dematerialization can occur, because every
elementary vortex keeps in its inside the same amount of energy with opposite sign and
the fusion of two inverse particles can result in a zero sum of the energy. The best known
example is the annihilation of an electron-positron pair under emission of radiation
discovered by Klemperer in 1934. In the upper representation (fig. 7.2a) the elementary
vortices still are symmetrical, but the outside field lines already are "bent" and linked
together in such a way that, with the exception of the ones in the direction of the axis, no
interaction takes place which can be measured.
The two particles for reason of the different charge approach each other quickly, and the
closer they are, the larger the mutual force of attraction becomes; a vicious circle, which
leads to the asymmetry shown in the lower sketch (fig. 7.2b) and only comes to rest, if
both particles have destroyed themselves mutually.
The electron and the positron had the same amount of, but oppositely directed swirl
activity, so that purely arithmetically seen a zero sum of the rest energy results. But it
should be paid attention to both particles having some kinetic energy on the occasion of
the relative motion to each other and if they rotate around their own axis also rotational
energy. An emission of annihilation radiation occurs, is the explanation of particle
physics.
With the knowledge of the photon (fig. 4.6) we can interpret the annihilation radiation as a
consequence of the phenomenon of transport. The faster and consequently smaller vortex,
for instance the green one, slips into the red one and sees the green inside, which is
compatible for it. Unfortunately it only can remain there, as long as it is smaller, thus is
faster, and therefore it shoots out on the other side again. Now the electromagnetic force
of attraction fully takes effect. It is slowed down and the red vortex correspondingly
accelerates. The process is reversed.
These around each other oscillating vortices, so we had derived, have a characteristic
frequency (colour), are polarizable and are moving forward with the speed of light as a
consequence of the open vortex centre. It therefore concerns the photon.