Electron
If we try to construct model of an electron now, studying the mechanism of interaction of two gamma-quantums with formation an electron-positrone pair, then we would not be able to make it. It will be not so simply to clear up in the mechanism of formation an electron-positrone pair even somebody will be possible to photograph this moment to the smallest details. Therefore we shall try to approach to this problem from the other end.
At first we shall recollect, that we know about an electron. The electron has:
1) Weight m = 9*10-31 kg;
2) Charge q = -1.6*10-19 C;
3) Spin (something like a torque of an electron about the axis);
4) Magnetic moment.
As for weight, there are not any problems: EMF has gravitational weight too. But here the electron charge will be most difficult. But, nevertheless, we shall try to investigate, that means next expression: the electron has a charge. It means, that the electrical field round an electron is directed from different directions mainly to its center.
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Let's try to receive it. Let's take two cylindrical constant magnets and twirl them counter-clockwise round the axes. Now we allow, those together with magnets their magnetic fields will be twirled round their axes also. Then the traveling magnetic field will call an appearance of an electrical field, which will be mainly directed to center of magnets, i.e. we will receive some analog of an electrical field of a charge (see 3, where: 1 - magnetic field, 2 - electrical field).
Thus, one after another of magnitude order the strength of a magnetic field will be was equal
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H ~ 1/R3 |
(1.3.1) |
Where R - distance to center of a magnet,
Its moment
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M ~ R |
(1.3.2) |
And electric field strength
|
E ~ M*H ~ 1/ R2 |
(1.3.3) |
It is necessary to mark, that the observable electrical field of an electron is equal
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E= q/e*R2 |
(1.3.4) |
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The amazing coincidence! But, as it is visible from Fig.4 (where 1 - vector of an electrical field) the electric field strength is heterogeneous, i.e. there is a large quadrupole moment. The maximum of electric field strength will be at angles equal 45 and 135 degrees. And one larger defect is - the strength of a magnetic field concerning its energy is comparable to energy of an electrical field, and an electron has the energy of a magnetic field, which is significantly less.
Let's try to reduce strength of a magnetic field. For this purpose we shall turn over the second magnet for 135 degrees and we shall mentally superpose two magnets, rotated round the axes such a way their centers have coincided. In this connection the magnetic field is almost completely compensated, the electric field strength is doubled, and the quadrupole moment decreases, i.e. the electrical field will become more homogeneous. The residual magnetic moment is a magnetic moment of an electron (see Fig. 5, where H1, H2 - magnetic moment of constants magnets; M - resultant moment).
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The model is and reflects some electron properties, but, nevertheless, is rather rough. Let's try to replace our two constants of a magnet with two spiral EM-waves (see Fig.6). They move to center, are curled in the opposite parties (vector of an electrical field direct along spirals to center). Thus, the rotation axes, directional in space the same, as were directed magnets (under 135 degrees between axes).
Now we draw analogy with our model of a photon, i.e., on forward front EM of a wave moving to center, we have e > e0 and speed U < c, and on back front EM we have waves 0<e<e0 and speed U>c.
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In this connection EM energy moves to center on forward front EM wave, and EM energy moves along a wave front from center on back front EM wave. Equality of these flows of energy is a necessary condition for stable existence of our model. And, if we reason correctly, this small island of stability corresponds to rest energy of an electron.
Thus, we have received electromagnetic -wave model of an electron. This model does not require any attraction of a hypothetical rotated magnetic field and has a number of interesting new properties.
We imagine - ours EM model of an electron moves as whole along an axis X with speed V. Then in a point "A" EM wave moved to the direction to an axis X and it will increase the frequency of oscillations (according to a special relativity theory):
|
w1=G* w0 |
(1.3.5) |
Where
G=1/(1-V2/c2)0.5 |
(1.3.6) |
And EM wave moving to the opposite party, will reduce the frequency of oscillations:
|
w2= w0/G |
(1.3.7) |
In consequence, the straight line, connecting points ("A") of interception two EM waves, will become bent to the party of our model’s motion and we shall observe beatings of strength EM field on this straight line with frequencies:
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f1= w1+ w2 |
(1.3.8) |
and
|
f2=| w1- w2| |
(1.3.9) |
Where |
f1 - high-frequency component, |
Let's consider only low-frequency component.
|
f2= w1- w2= w0*(G-1/G)= G*w0*V2/c2, |
(1.3.10) |
With V is significant smaller C, we have:
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f2= w0* V2/c2=m*V2/h, |
(1.3.11) |
Where m - weight of an electron.
In the total we have received de Brojlya formula for frequency, and from here we can find a wavelength de Brojlya (wavelength of probability of electron detection in a point "A"):
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l=V/f2=h/(m*V) |
(1.3.12) |
The amazing coincidence! It is look like that we are going to the right direction. But we should be without any emotions. Let's look, whether all is so good, as it seems. It is visible from Fig.6, that only small part of an electric field strength has a direction to center (radial component - Er), the main part - is perpendicular to a direction to center (tangential component - Et). As it is visible from the formula
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Er= l*Et/(2*Pi*R) |
(1.3.13) |
Where |
R - distance to a spiral center, |
Er - component decreases with a distance. If we would ignore this moment, than for obtaining relation Er from R, as with the electron (the formula 1.3.4), it is necessary
|
Et=K/R |
(1.3.14) |
Where K - proportionality factor.
It will mean, that the electron will have indefinitely large energy of rest and, as a result, - indefinitely large weight. The given conclusion can be checked up, integrating EM density on all volume taken, by model (from l to endlessly). The situation will not be betterment so much, if our electron model present as a flat: the energy of rest will be received indefinitely large all the same.
What is our error in?
It is consisted in that we did not give our attention to interception’s points of helical (exacter-spiral) EM waves, and the interaction between EM waves will happen here and the wavefront should be deformed, how is shown in Fig.7. If this picture is right, that, obviously, that basic EM energy of our model will be concentrated in interception’s EM units of waves and the vector of an electrical field of units will be mainly directed to center of model. Thus, Et will not already play the special role and, on the supposition of that Er decreases in units with the same distance as and in the formula (1.3.4), rest energy of our model will be quite certain (final) size.
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It seems it is not quite all right in our new model again. The basic energy was concentrated along one axis (axis Y on Fig.7). Let's name this directivity "a charge vector" (CV), which is creating, on the first sight, enormous quadrupole moment, which would be detected a long time ago. But there is one "but" here. When we construct model of electron we accepted, that there is the speed of EM energy propagation exceeds speed of light on return front EM waves, and it means, that the unit of interception spiral EM waves can move along their front with speed, greater then speed of light. Thus, the availability at an electron CV will be exhibited absolutely differently, than quadrupole moment at a usual dipole.
This model of an electron has area of the greatest concentration of energy in the shape of the disk, is considerably extended along an axis Y and is bent along it in a direction of an axis Z.
The concentration EM energy along one axis Y happens in rare cases, when energy of both helical waves is identical. Usually their energies are not equal. Their wavelength is not equal either, that results to motion of EM waves units of interception on a spiral round an axis Y, in such a manner that, one "MOUSTACHE" (for example: CV oriented along an axis Y) has an exterior of a left-hand spiral, and other - right-hand. Thus, the electron has a spin (S) and magnetic moment (M) (as a coil copper with direct current has).
As a rule, spiral bunch of electron’s MOUSTACHE swirls in a spiral too (spiral of the second order) under the influence of external forces. And, this second order spiral can be left or right. It is possible to name motion of electron energy along of the second order spiral as orbital motion with a moment L.
The combination of spirals of MOUSTACHEs curling’s direction of the first and second level is a combination of possible a spin S orientation and orbital moment L.
If the direction S and L coincides, it results that outside of spirals the strength MF adds, and inside - is deducts. In an outcome inside of external MF spiral becomes ring-shaped and less then external MF (because fields S and L are intersected under an angle), that results to compression of an external spiral’s diameter. This condition is characterized by a large electron magnetic moment, causing to orientation of an electron’s MOUSTACHE along external MF with strengthening of the last one.
If the direction S and L is opposite, it result that outside of spirals the MF strength deducts and inside - adds. As a result MF becomes ring-shaped in an external spiral. In such condition the electron is characterized by a small magnetic moment. At that, the moustache of an electron has a tendency to twirl into a spiral of the third level under the influence of external MF. External MF of a MOUSTACHE directed against external MF, i.e. such electron exhibits its diamagnetic properties. If on an electron's electrical field (EF) with opposite S and L to impose a proton EF such a way that on a macroscale, on the average, EF was equal to zero, but the availability of such CV will be rather difficult to detect. The last variety CV field is, probably, so-called an "axion field" (AF). AF is unstable and has a tendency to decay on particles, which are similar to a neutrino with a rest mass that is not equal to zero. These particles are characterized by four main qualities - weight density of energy, frequent spectrum and topology. Let's name them "Quons"?.
(Prolongation of a theme in N1/98)