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S.B. Karavashkin and O.N. Karavashkina

5. Affection of the aether viscosity on the frequency variation of EM wave

In the analysis, how the aether viscosity affects on the variation of the EM wave frequency, in accordance with the methods of classical wave physics we can confine ourselves, considering a transverse mechanical elastic wave in the infinite viscose material continuum. With it, before we write the sought modelling equation, we have to take into account few basically important points.

The first factor which we have to put to the underpinning of our modelling is that the aether is material. Earlier, in [2], [13] and [14] we considered a number of basically important aspects of the aether conception and showed the consistence of classical paradigm based on the acceptance of material space. Of course, today we cannot think all properties of the aether to be undoubtedly established. To a considerable extent this process is impeded by the adherents of relativistic immaterial space. None the less, even at the contemporary limited grounds we can select some reference points to build the primary pattern of these processes.

One of such points and the second basic factor of our investigation is the possibility to introduce the analogy between the processes in EM field and in gas-like media. "The absence of anisotropy in the medium filling the space (Atsukovsky speaks here not of nebulas or clouds in the Metagalaxy but just of the aether - Authors) means that this medium can be neither liquid nor solid, as many authors supposed before, because with zero gravity the liquid under affection of the surface strain force has to merge into the spheres; this would lead to the cavities between the spheres; and for any real physical solid body some or other dislocations are typical. Both this and that would lead to an uneven distribution of the fields in vacuum. However the aether can be a gas-like body, as such body has a property to fill in natural way all the space without cavities and even to average their distribution, if for some or other reason it is disturbed" [15, p. 46]. The following fact favours to admit the hypothesis of gas-like aether. Before, in [2], [4] and [16] we theoretically and experimentally substantiated that transverse acoustic wave in gas exists, and in [1] and [3] we theoretically and experimentally substantiated that EM waves exist in free space. In this way we lifted the basic contradiction that prevented to establish the analogy between the aether and gas-like medium.

Basing on this analogy, we can suppose that the aether has the properties of gas continuum, in particular viscosity. "It follows from small resistance of the aether to the motion of bodies, and particularly planets, that the aether has to have relatively small density and small viscosity" [15, p. 46]. Proceeding from the fact that the density of aether   and dielectric constant are equal, Atsukovsky established that = 8,85*10 ^-12  kg/m³   [15, p. 49]. Atsukovsky determines the dynamic viscosity on the basis of known relation

where dF  is an element of the force of viscosity;  in this case means the dynamic viscosity coefficient; v/x is the gradient of velocity in the vicinity of the studied point; dS  is an element of surface. Having calculated, Atsukovsky comes to the conclusion that the value of dynamic viscosity of the aether has to be about = 10 ^-6 kg/m*s  [15, p. 52].

Grounding on these properties of the aether, consider some infinite homogeneous material space with the density , viscosity   and elastic strain   which Atsukovsky estimated as 2*10³² N/m³  [15, p. 50]. Let at some point O   there is located a source affecting the medium as some time-variable harmonic force

Choose in the considered space some 3D sector from the point  O  having small angular size   and    (see Fig. 6) oriented perpendicularly to the external force. The main feature of this construction is that the mass of selected volumes of the sector grows with the distance. So, if we want to consider in general, we have to consider the sector as a heterogeneous elastic line. With it we will naturally assume, if the variation of other parameters compensates further the growth of distributed mass, we will see it in the course of solving the problem.