THE END OF THE UNIFIED FIELD THEORY

 ©Boris. F. Poltoratsky

 Contact to the author: poltor@yandex.ru

It seems reasonable to say that the Maxwell electrodynamics not only gives an final solution of a problem of the unified field theory, but also allows opening the physics of natural connection between the world of continuous and the world of discrete processes in the nature. It changes notion of the neutrino essence, Casimir’s forces and gravity.

 It is known, that Maxwell has transmitted to us not only the theory of a new physical reality – a electromagnetic field theory [1], which he has issued in the form of the system of differential equations of a mathematical physics. He has also presented the example of their solution for an ideal flat wave. The example was clear and convincing. However such ideal waves are absent in the nature (see, for example, the theory of a partial coherence in [2]). Moreover, they cannot be created even artificially by means of a coherent laser radiation (see, for example, [3,4]). Therefore any attempt to use a specific solution of a problem of flat waves for search of other solutions of Maxwell equations or for their interpretation demands an extreme caution. For example, manipulations with a movable coordinates system, executed by H. Lorentz, are based on the hypothesis about the existence of the constant velocity of electromagnetic waves propagation. Undoubtedly, this hypothesis follows directly from a particular example of the Maxwell. But generally it does not correspond to the facts, in other words this hypothesis is wrong. The matter is that, electromagnetic waves possess not only a translational, but also a rotational degree of freedom [5]. It is possible to be convinced of it if to consider evolutions of wave front in a natural light wave, by using, for example, the modern holography technique. But the process of rotation is better visible on an example of a distribution of electromagnetic waves in the closed toroidal dielectric wave-guide, which is illustrated in the Fig.1. Here the result of numerical experiment is presented in the form of the image of translucent isosurfaces of energy density of electrical and magnetic components (We and Wh) in various stages of a waves rotation (on angle j) in two camera angles (q). The technique of the creation of such images is described in [5]. The stepwise arrangement of fields in the Fig.1 testifies that waves undergo the complex transformation at the rotation, and their group velocities of components are not equal among themselves.

Fig. 1

Otherwise isosurfaces could not diverge and converge again. Obviously, also their phase velocities differ very much. Rotating waves in spherical wave-guides and mobile nonlinear mediums have the same properties [5].

Thus, the system of rotating waves is characterized by four real velocities, which are changeable and not equal to each other. And in this situation any sense to connect system of coordinates with these velocities is absent completely. Probably it is more convenient (according to Maxwell and Hertz [6]) to use Galilee transformation and to leave velocities in the form of functions of coordinates and time.

It follows from these results that Lorentz transformations or a based on it theory of relativity are not so universal to replace with itself the doctrine of the Maxwell. Now we shall look, what will be result if go back to his original equations? In this case we should examine these equations, improving both the equations and methods of their solution. And in our computer century this problem seems quite solvable if we respect initial positions of Maxwell and Hertz. However, a great deal can be determined if to analyze features of already known solutions for electromagnetic spherical wave systems [7]. In particular it is possible to ascertain, that any spatial electromagnetic dislocations create variable fields in a medium. Amplitudes and phases of these have angular dependence, which is described by the associated Legendre polynomials. Their radial dependence unequivocally has the shape of linked cylindrical functions. On this bottom it is possible to show [5], that if these dislocations have a circumrotatory degree of freedom (for example, they contains electromagnetic vortexes), we shall ascertain sequent incontestable facts:

• Dislocations have the mechanical moment (spin).
• Dislocations contain the strong stabilizing factor – the internal pressure preventing boundless compression (collapse).
• The studying of dislocations properties is mated with the nonlinearity of a medium or field equations, because the nonlinearity is basically the general rule, but not the exception in nature (the beginning of a problem is investigated in [5]).
• Nonlinear dislocations can have an electrical charge and the magnetic moment.
• Nonlinear dislocations interact among themselves: zone character of a strong interaction appears on small distances, and averaging interactions on greater distances takes place, but it occurs around of a minimum of the general energy - it is already gravitation (interaction of constant charges and of moments is more convenient for considering separately).

The process of transition, for example dislocations pairs, from one steady state to another with the change of full energy is rather interesting, because its properties conduct us directly to the base of a quantum mechanics. Certainly, it can be investigated by direct calculations on powerful computers. But available analytical methods of an oscillations study in nonlinear systems exist. They give result, which shows that the exchange of energy with surrounding field through radiation or absorption always exists. Thus frequency of the first harmonic of the radiated or absorbed waves should be proportional to the difference of an initial and final energy. It is known, that Max Planck has already calculated coefficient of proportionality using experimental data. The highest harmonics, which exist at very greater amplitudes of processes, are responsible possibly for those energy surprises, which are attributed now to occurrence of a different sort a neutrino.

Thus, we see two basic qualitative contributions, which the classical Maxwell electrodynamics brings into the base of theoretical physics. First, the unified field theory loses its urgency, because collective properties of nonlinear rotating dislocations in addition to usual electromagnetic properties (they interacts by electromagnetic forces) possess all known quantum properties of fundamental particles, including all nuances of a strong interaction, and, besides, these dislocations are subjected to the gravitation. Secondly, the electrodynamics establishes natural connection between the world of continuous and the world of discrete physical processes caused by a essentially simple nonlinear interference of usual electromagnetic waves, which always can be calculated with any degree of a accuracy.

Now there is no need in a monstrous heap of hypotheses and fantastic imageries, to which physicists of 20-th century have so got used. All follows logically and most naturally from the doctrine of Maxwell constructed on all known results of set of a great number of the most convincing experiments. 

References:

1. James Clerk Maxwell. Royal Society Transactions, v. CLV, 1864.
2. M. Born, E. Wolf. Principles of optics. N-Y, Pergamon press, Chapters 10 and 11, 1964.
3. Б. Ф. Полторацкий. Письма в ЖЭТФ, том 27, вып. 7, с. 406, (1978).
4. Б. Ф. Полторацкий. ЖТФ, том 49, вып. 11, с. 2295, (1979).
5. B. F. Poltoratsky. Fundamental particles in pictures without hypothesis. Moscow, “Sputnik+”, 2007. (See also: www.realphys.com )
6. Heinrich Hertz. Gesammelte Werke, Band II, s. 256-285. Leipzig, 1914.
7. Andre Angot. Complements de Mathematiques. Paris, Chapter VII, 1957.

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