LIII INTERNATIONAL MEETING ON NUCLEAR SPECTROSCOPY AND NUCLEAR STRUCTURE УNUCLEUS-2003Ф, October 7 Ц 10, 2003, Moscow, Russia

RUSSIAN ACADEMY OF SCIENCES

LOMONOSOV MOSCOW STATE UNIVERSITY, RUSSIA

ST.-PETERSBURG STATE UNIVERSITY, RUSSIA

 

The bases of the vortex theory

 

Russell G. Moon, USA, RJ2Moons@worldnet.att.net

Victor V. Vasiliev, RUSSIA, vavivlad-rvc@mtu-net.ru

 

www.thevortextheory.com

 

1. THE INTRODUCTION

 

At the basis of this concept - new, and is completely possible the revolutionary vision of Universe. аIt is named vortex conception and do promising in its ability to explain some before the inexplicable phenomena of that Universe. Some thing of them is the decrease of length and the dilatation of time, which is not detected in the experiment of Michelson Ц Morley and electronicsТ orbital of atoms of chemical elements tables of D. I. Mendeleyev.

 

The base of the vortex theory is a result from fundamental theory of relativity, the transformations of coordinates in space, and so this questions basically and is denoted given in the article. The law of sharing the electrons on orbits of chemical elements is graphically and simply analyses the questions of construction of atoms.

 

Because of insufficiency volume of paper are considered, on the first stage, only levels of electrons, disregarding existence of sublevels, isotopes of elements, dependencies physical and geometric characteristics of chemical elements from their designs of nuclei (kernel) and electronic shell. These questions will are presented in the following work.

 

Despite the fact, that the special theory of relativity already proposed the explanation of some of these effects, its answer can be quietly discussed. аThese effects are only external, created by the specific reason, which it is possible, so it was not known to Albert Einstein - creator of the theory of relativity.

 

This striking fact will be proved and it will become obvious at the end of this work, when it will be shown that the fourth dimension universe, proposed of Einstein, namely space time - "virus", most critical possible for the relativity - there does not exist. аHowever, there are additional dimension, but this is not the substance of time [ 12, p. 403 ]. аThis assertion - not assumption, it is not, possibly, and only hypothesis.

 

The fourth dimension cannot correspond to characteristic "time", because by itself the time does not exist as the fundamental principle of the Universe. аA time Ц the phenomenon, created in accordance with the motion and the attribute of the motion.а Therefore it, cannot create, or be the reason for its own change, connected with the motions at the near-light speeds.

 

The real reason for the effects of a change in the time will be further shown. аAnd, perhaps, for the first time, in the human history, the appearance of the concept, called "time" will be adequately explained. аFirst, because the vortex conception will be used in order to explain entire that mentioned above. аIn the second place, it will be given the brief analysis of its essential components.

2. BRIEF ACCOUNT OF THE VORTEX CONCEPTION OF THE SPACE

 

We will consider that there exist in that universe, at least, five categories (concepts), accessible to our consciousness. аThese five categories:а real physical objects, space, time, energy and the force of nature.

 

Physical objects:а the form of matter, which is of the particles, which we call protons, electrons and so forth, however they are not particles in the broad sense of this concept. аLet us examine them as the three-dimensional apertures (hole), which exist on the surface of fourth-dimensional space.а Protons appear by the three-dimensional holes bent into the fourth-dimensional space, whereas electrons are three-dimensional holes bent out of fourth dimensional space.

 

Three-dimensional space flows from the electron into the proton, and maybe because of this motion in this case strong, electrostatic, weak and gravitational interactions appear.

 

A surface always for one dimension is less than the volume, which it surrounds.а Three-dimensional volume, for example a ball, is surrounded by two-dimensional surface, i.e. by a sphere.а Therefore fourth-dimensional volume is surrounded by three-dimensional surface, and fifths-dimensional volume is surrounded by fourth-dimensional surface. This is not always simple, but sometimes also it cannot be represented.а Our three-dimensional universe is not than by other as the surface that considerably larger universe Ц the Universe, we are unable to see or look directly into.

 

Space:а it generates in the university everything else.а Physical objects, energy even four forces of nature - completely the substance of space. аDespite the fact that the space is the multidimensional substance, which includes the specific essence, this "something" is unknown.

 

Does consist it of small individual particles?а An answer is probably no.а Why? аAnswer, perhaps, is caused by the fact that the three-dimensional particles cannot create three-dimensional holes.а It is possible that the space could consist of the fourth-dimensional particles, but also here, nevertheless, such particles cannot create fourth-dimensional holes, from which the quarks appear to be made of.а Consequently, any particle must be, at least, fifths-dimensional in order to further create fourth-dimensional hole.а If these fifths-dimensional particles existed, then we must know about the fourth-dimensional protons and the electrons. аFurthermore, since the photons are also created by space, if space consists of fifths-dimensional particles, then photons must possess fifths-dimensional motion characteristics (rotation/revolution, oscillation/vibration, etc.).

 

Since the space can move in all directions (revolving, pulsating and being moved along any geometric curve), it can include many uniform, coinciding material elements, unique from our point of view.а This idea is not return to the theory of ether.а Since protons and electrons - three-dimensional holes, there is no ether drift.а Since, these three-dimensional holes are moved on the space, than space reconstructs itself around them with the speed of light. Because of this basic difference the vortex conception and the theory of ether can only superficially be analogous, but, in the essence, they differ from each other.

 

Time:а absolute time is the error, which arose in the limits of the daily experience of our ancient ancestors.а Albert Einstein considered that there is no moment of time whatever, which observer can consider it initial.а Time by itself does not exist!а Time depends on a motion; its substance is created with motion and is necessary only for it.а However, if the temporary form of existence of universe and possible exists, then "time" - no!а That a man named "time", here already thousand years exist as the phenomenon, created with the hierarchy of synchronous motions.а This hierarchy of motion depends on the speed of the three-dimensional the space, which takes place in the vortex, uniting "particles" together.а All other speeds of entire rest in universe are derivatives of the rate of the vortex.

 

The energy:а the photons of light are compressed substances of the three-dimensional space, which move with the speed of the vortex, which they left.а The compressed substances of three-dimensional space create the outer effects of photon as particles, and their expansions and reductions create wave effects.

 

Four forces of nature:а gravity, electromagnetic force, weak force, and strong force - they all are created with space.а There is not any individual "parts" in Universe!а There is only a matter, which exists in physical universe - in the form of the substance, from which everything is created.а A space, thus, consists of material, what is completely unique from our point of view.а It has, at least, five dimensions, and in this existence it can move in all directions, possess curvature, i.e., to be convex in any directions and to contain spin characteristics, fractional electric charges, wave and corpuscular characteristics and so forth. This substance constantly is in motion.а The motion occurs in two opposite direction simultaneously: on a massive global scale, it is enlarged with the enormous speed, carrying along galaxies with itself.а But, on a microscopic scale, it flows back with the improbable speed!

 

Both a matter and energy - space.а The "particles" of the material:а protons, electrons and neutrons (and a number of other "particles") - not particle generally.а They are the three-dimensional holes, which exist on the surface of fourth-dimensional space.а The substance (essence) of the space is created with mutual and opposite, simultaneous and continuous flows from these holes.а The hole creates the effect of particle, while the denser or less dense substance, which surrounds hole, creates the effect of wave.

 

Any substances and energy also has characteristics of solid, liquid and gaseous state [ 10, p. 12 ].а That we call energy - simply the denser regions, called the photons, which are enlarged and are reduced during the motion.а This dense field (region) or photon creates the effect of particle, while expansion and reduction during the motion in the space creates the effect of wave.а The concept of time is created in of the universe by the uniform flow microscopic substance inward and outside from the three-dimensional holes of matter.а The massive expansion of three-dimensional substance in entire that universe specifies its counter flow into the microscopic openings (apertures), what is the reason for the forces of nature and states of the moving space.

 

These uniform configurations distort the spherical surfaces of three-dimensional holes (openings, apertures), accelerating, their each to other, creating the illusion of force!

 

3. THE PROOF

 

Five categories (concepts) of University:а physical objects, space, time, energy and forces of nature are not completely clearly formulated in 20th century; however, they are widely used by scientists, engineers and entire society.а They exist to a certain degree in the consciousness of each in their own way, and, perhaps, they are inadequate in all us.а There are individual differences in the idea of these categories.а But give let us examine this entire completely differently, in a new way, also, in this case, too without turning over everything upside down.

 

The objects, which must consist of the specific substance, are not the same.а The space, which, in turn, must be empty (free), is nevertheless filled and there is nothing without the presence of matter.

 

The proof is based on the mathematical explanation of a change of the physical processes in complete agreement with the special theory of relativity.а And furthermore, will be given the new interpretation of the experience of Michelson - Morley.

 

The reason for a change of the length of physical object in the direction, parallel to its motion, and changes in the rate of flow of time will be proved on the basis of vortex conception.

 

3.1. Determinations and the concept

 

Since the new understanding by that universe contains some no stereotype principles, must be taken into account the following.а In this analysis everything is simplified in order to avoid unnecessary discussion.а If we this do not make, then we will lead into error of the reader in the attempt to lay the idea also of the infinitely small dimensions of atom and enormous speed of light on it.а In order to overcome this problem, it is necessary to use basic qualities.а This seemingly substantially will increase the dimensions of atom in the diameter, and at the same time, will substantially decrease the speed of light to the value, which can be normally received.а Since the atom of hydrogen - simplest of all atoms, and simplest for the understanding, it is the example, used in the remaining part of this work.а Nevertheless, one should understand that, similar to hydrogen atom, all protons and electrons in all atoms are bonded with two vortex flows of space.а Consequently, the principles, which use a hydrogen atom as an example, relate also to all other atoms.а In the theory of relativity the space contains nothing, and all motions occur relative to each other in all practical observations.а Nevertheless, in the proposed vortex conception of material space filled (made from something), all motions in the subatomic world are material, and everything concerning space, immediately is filled up.

 

Time - tool of the measurement:а vortex conception will prove that the time does not exist as the fundamental principle of Universe; however, the phenomenon of time still can be used as the means of measurement.а Since the hours are used and/or is created periodic motion, this oscillatory motion is used in order to measure the time interval between other arbitrary motions.а Consequently, the use of time in the following formulas does not contradict the proposed hypothesis.

 

Closed circuit:а when a proton seizes an electron, then intra-atomic forces attract these two holes into the specific totality and thus are formed the atom of hydrogen [ 9, book 5, p. 67 ]. Substance of space, which forms the locked flow between the proton and the electron, in turn, are formed two vortex in the matter.а Three-dimensional volume is such to the whirlpool:а the same three-dimensional space into the proton elapses from the electron.а Then whirlpool continues, ensuing from proton into the fourth-dimensional space, forming another whirlpool, which flows through the fourth-dimensional space into the electron, completing the cycle of the vortex.а The flow of circulation is accomplished, in the limits of two vortexes, creating a constant volume and the locked flow.а However, if atom seizes either emits the photon - the corpuscle of space, which the volume of the flow of vortex adds or diminishes, changing the orbit of electron, a constant volume of atom within the limits of vortices/eddies does not change.а If it would occur on the contrary, then atom must change the electrostatic charge (i.e. to become ion, and this, as is known, it occurs during capture or electron emission).а Consequently, in the given volume of three-dimensional space within the limits of this phenomenon the volume of vortex remains, regardless of the fact, with what speed the atom is moved.а Since the atomic radius is the length of vortex, it is the function of the maximum volume of space for the unit of the measured time, which can ensue from electron into the proton, or from proton into the electron without the connection or interaction with any other particle.а Despite the fact that the electron and proton have different sizes, this does not influence our calculations.а Differences in the density of the space, which surrounds each particle, do not influence the volume of the space, which flows of one particle into another.

3.2. The mathematical proof

 

3.2.1. Atomic radius in the static state

 

In 1887 A. A. Michelson together with E. W. Morley experimentally confirmed with the high accuracy the independence of the speed of light from the velocity of the motion of the Earth, which led to the cheerless and devastated position in the world of physics.а This experiment was made, in order to detect the presence of the wind of ether.а Two collections of mirrors were installed the right angle to each other.а Light beam was divided into two rays, by the specially developed mirror, and then these rays traveled back and forth between two collections of mirrors, before they converged into the target.а It was assumed that since the Earth is in motion, the speed of one ray will be less than the speed of another.а It is consequently, when they achieved goal, had to arise the interference of light waves.а However, it was not registered!а Actually there was no difference whatever in speed of both rays/beams.а Further experiments were conducted in the different time of the year, when the speed of the Earth has different value in orbit around the sun.а But as before no changes it was established [ 9, book 3, p. 243 ].

 

This phenomenon is decided to explain H. A. Lorenz and J. F. Fitzgerald. They, independently of each other, advanced the following hypothesis.а Each of them stated that one of the possibilities of explaining this uncommon effect, namely the absence of a change in the time during the motion of the light beams, which repeatedly are turned between two mirrors, installed perpendicularly and in parallel to the direction of the motion of the Earth, must be the decrease of size of physical body in the direction of motion.а They both assumed that if ether - sufficiently dense material, then parallel ray moves more slowly than perpendicular.а In this case it passes smaller distance and therefore it achieves goal simultaneously with the ray, which had passed in the perpendicular direction larger distance with the larger speed. аLorenz further assumed that if a time for parallel ray flowed more slowly in the necessary "correct" proportion, this and would explain the impossibility to register changes in the different season.

 

However, this "correct proportion" as the explanation of the effect of Michelson and Morley, was declared by the "devised explanation" and was deflected.

 

The following explanation was made, of course, by Albert by Einstein in his theory of relativity.а And his explanation of the decrease of length and effects of a change in the time is connected with existence of the fourth-dimension, which it named the "space time", introduced by Newton.а And if a time there does not exist, there is and no fourth dimension - space time.а Consequently, still something must be found in nature, the explaining decrease of length and a change in the course of time.а So that however, this such?

 

 

What also as does decrease the longitudinal (in the direction of the motion) sizes of bodies?а

 

In order to answer these questions, we must first examine that which occurs, when atom is not moved.а In this case we will explain that precisely it changes during the motion of atom.а

 

In order to accomplish this task, let us examine the atomic structure of hydrogen.а In accordance with the vortex conception hydrogen atom consists of the three-dimensional hole, convex into the space with the larger dimensionality (proton), and the three-dimensional hole, convex from the multidimensional space (electron), and two vortexes of three-dimensional space.а The first vortex is passed from the electron into the proton in the substance of three-dimensional space.а The second vortex flows from the proton into the electron in the substance of four-dimensional space.а These two flows create the closed cycle of space in the fixed volume.а

 

Elementary particles and directions of the flows of vortex are shown in Fig. 1.а

 

In Fig. 1, it is marked:а P - proton, e - electron.а The region higher than broken line is three-dimensional space, and lower than broken lines - fourth-dimensional (or fifth-dimensional and so forth) space.а The concept of multidimensional space is used in order even if we assume that the whirlpool of vortex (C2) at first penetrates the fourth-dimensional space, and then he uses this space temporarily.

 

Three-dimensional space

 

 

Fourth-dimensional space

 

Fig. 1.а An atom model of hydrogen. C1 and C2 - direction of the flows of the vortexes.

 

The rate velocity V of the flow of vortex, entering the elementary particle, is equal to the rate of the flow of vortex, which emerges from it.а The cross-sectional area аSа of flow throughout the entire length of vortex аL аis kept constant and therefore the volume of the flow of the vortex аW, which takes place in the space from one particle to the another, i.e., entering and emerging from the hole, it can be determined according to the following formula:

 

Single volume of the flow of the vortex:а W = S V.

 

Earlier it was noted, that in order to simplify all calculations and to make their lighter for the perception, we will use basic qualities. A radius R of the first Bohr orbit of electron is equal to 5.2917706 E-11 m. Let аus аaccept this parameter as the basic value of the length аLа of the L bas = 5.2917706 E-11 m, and than we will obtain that linear measure (length of the flow of vortex, distance, a radius, the length of a circle, etc.) in the basic qualities аL = L / L bas .

 

Thus, the atomic radius in the basic qualities R = 1, therefore, the length of the flow of vortex in the basic qualities is also equal to L = 1.

 

Further we take, the bases unitа S bas = (L bas )2 аfor the flow cross section; therefore the cross-sectional area of the flow of vortex, led to аS = S / S bas = 1.

 

And finally the speed of light C =а 2.997924580 E+8 m/s, and, taking its value for the basic quality of a speed, we will obtain that the rate of the velocity of vortex in the basic units isа Vv = 1.

 

The task of this work is the proof of the fact that the measurement of atom are decreased at the speeds, close to the speed of light, and the orbit of electron around the proton is unessential for the analysis.

 

Only position of electron in orbit at any moment of time is important for our proof.а It is unessential, how electron reached this position; this does not influence result.а If atom is found at rest or motion at a velocity, insignificant in comparison with the speed of light, then the volume of the space of the vortex between the proton and the electron in the basic units W for any position of electron in its orbit is equal to one, since W = S V = 1.

 

In the proposed hypothesis the volume of single flow both in the three-dimensional and in the multidimensional space (W = L S), that takes place inward or from within any particle, is accepted a priori as the constant.а This constant is, in our opinion, the amount of electric force, and also perhaps by the forces, caused by strong, weak, gravitational and by other interactions, caused by the flows of vortexes both in the electron and in the proton, in their constant existence in the space.а Since these interactions always can be measured, they are independent from the units of measurement, and the values of these interactions are always constants.а Consequently, the measured volume of the space, which flows inside the particle, always one and the same, regardless of the fact, in what frame of reference the measurement, occurs. This means, that if the tester in the spacecraft shows, that the speed of light is constant, then he can show that charges in the electrons and the protons in the ship limits - also constant quantities.

 

3.2.2. A factors, which influence a change in the volume of the flow of the vortex

 

Since both vortices created the circulating flow, moreover a constant volume, the change in their lengths will lead to a change in their cross section.а However, a change in the flow cross section leads to a change in the volume of flow.а Consequently, so that the volume of flow would remain constant, both at the entrance into the electron or the proton and at the outputs from these particles, then, therefore, respectively change the lengths of vortices.

However, when atom is not moved in the space, i.e., it is found at rest, or motion at a velocity, insignificant (no relativistic) with respect to the speed of light, then the lengths of vortices are equal to the "total" radius of atom (established or measured on the Earth).

 

Consequently, the following fundamental formulas (laws) of vortex conception are valid:а

 

W = V S = 1 , аааааааааааааааааааааааааааааааааааааааааааа(1)

 

W = L S =1 , ааааааааааааааааааааааааааааааааааааааааааааа(2)

 

L / V = 1.ааааааааааааааааааааааааааааааааааааааааааааааааааа (3)

 

Thus, in the proposed hypothesis the volume of vortex flow between the proton and the electron always remains constant, regardless of the fact how it is calculated.а Variable quantities they can be only:а speed, cross-sectional area and the length of flow.

 

The following three different systems of coordinates, important for further analysis, will note:

 

аа 1. The frame of reference is bonded with the object from the multidimensional space.

ааа2. The frame of reference is bonded with the spacecraft.

аа 3. The frame of reference is bonded with the electron or the proton.

 

Consequently, if the hydrogen atom is located inside the spacecraft, and the ship moves with a speed of аV, then if we show as atom, and therefore all the remaining ship parts they change its form, then we is not detected contradictions in our reasoningТs about the space.а Therefore hydrogen atom for the practical substantiation of present hypothesis should be observed of all three frames of reference simultaneously.

 

No relativistic motion with respect to the space ( V<<C )

 

Fig. 1 gives the abstract example to the atom model of hydrogen in the space of the university.а If the reader, does not consider it is correct, then, unfortunately another simple graphic interpretations is not located and therefore one ought not to receive this figure as the precise correspondence to space [ 11, p. 16 ].а This is the possibility to schematically explain our reasoning.а We will further consider that аC1 аis the velocity of the flow of vortex in the three-dimensional space, and аC2 - the rate of the flow of vortex in the fourth-dimensional (fifth-dimensional and so on) space.

 

1. With respect to the frame of reference, bonded with the object from the multidimensional space, the following condition is satisfied:а C1 = C2 = C.

2. With respect to the frame of reference, bonded with the spacecraft, state of affairs changes.а An astronaut cannot see any flow of vortex, and in this case he cannot measure the time of motion in closed circuit of the flow of vortices.а However, at best, he can measure the time of the reciprocating motion of the light between the mirrors in order to repeat the experiment of Michelson - Morley in the limits of its spacecraft.а And it will again confirm that the speed of light is still equal to C.

3. With respect to the frame of reference, bonded with the electron or by proton is also observed the condition:а C1 = C2 = C.

 

However, when atom is in motion with a near-light speed of V ≈ C, the results of observations radically change.

 

A relativistic motion with respect to the space ( V ≈ C ).

 

It is as before equivalent with respect to the frame of reference, bonded with the object from the multidimensional space, and as before of the speed of vortex flows:а C1 = C2 = C. аIn spite of, that all are in motion, nothing - either proton or electron, not flow of vortex cannot move at the velocity, greater than the speed of light.

 

With respect to the frame of reference, bonded with the spacecraft, the state of affairs remains before.а This occurs because, as this will be proved at the end of our consideration,

 

 

all motions in ship limits slow down because of the forces in the space, especially during the motion with the near-light speed.а Thus, cosmonaut does not here find changes.

 

However, in the frame of reference, bonded directly with the electron or the proton, the speeds of the motion of two vortex flows prove to be inadequate (Fig. 2).

 

Thus, why under the identical conditions and the circumstances do appear three different points of view?а This is explained as follows.

 

With respect to the frame of reference, bonded with the object from the multidimensional space, the values of the speed of vortex flows are as before equivalent.а Despite the fact that these two particles (proton and electron) move with a speed of аV, nothing in this system moves more rapidly than light beam.

 

For example:а if any "marker" could be placed into the point, which corresponds to the flow discharge of vortex from the electron, then it would achieve proton more rapidly, than with no relativistic velocity of the atom V << C, and not because its speed is above, but most probably because the proton is moved to it towards.а Even besides, that this "marker" reaches proton more rapidly than this occurs during the no relativistic motion of hydrogen atom, the actual rate of the flow of vortex does not change:а the rate of the flow of vortex does not as before exceed the speed of light.

 

Three-dimensional space

 

VELOCITY OF VORTEX INTO THE PROTON = C1 + V

 

 

VELOCITY OF VORTEX INTO THE ELECTRON = C2 - V

 

Fourth-dimensional space

 

Fig. 2.а An atom model of hydrogen in the motion with velocityа V.

 

An adequate result will be obtained, also, with the "marker", placed into the flow of the vortex, which ensues from proton.а Since, electron moves along its orbit far from this "marker", and "marker" moves towards the electron, more than time is required, so that the "marker" would reach the surface of electron, in comparison with the fact, if atom was not moved.а Therefore, even in this case, one should always remember that the flow of vortex still flows with the speed of light.

 

With respect to the frame of reference, bonded with the spacecraft, the state of affairs remains before.

 

However, if the frame of reference, is bonded with the electron (or proton), situation changes radically.а In this case the electron is located in "relative rest".а Consequently, the flow of vortex, which flows into the proton, now acquires the obvious speed, equal: C1 + V = C + V, and simultaneously appears the obvious speed for the flow of vortex into the electron, equal to C2 Ц V = C - V, since аC1 = C2 = C.

 

And therefore extremely important to understand, that when the atom is in motion, nothing, any part of the atom, or its flow of vortex can have a speed more than the speed of light. However, since the positions of these two particles constantly change, for the observers within the limits of electron and proton these two vortex flows enter and leave from the particles with the different obvious speeds.а Consequently, the paradox appears:а the volume of the flow of the vortex, which flows into one hole, is not equal to the volume of the flow, which ensues from another.а If nothing it changed in the space, then the inexplicable situation would lead us into error.а This would be analogous with the presence of this capacity (barrel), where one cubic meter in second would flow into it, and five cubic meters in the same second emerged outside, and in this case liquid level in the barrel remained constant.

 

It is only method to overcome this contradiction:а lies in the fact that "to redistribute" the volumes of the flows of vortices/eddies.а This is substantiated further as the concept "duplicating" of the volume of flow.а This is caused by the validity of the formulas (1 - 3), which express the law of conservation of the volume of the flow of vortex.

 

3.2.3.а A calculation of the vortices during the motion of the atom with a speed of V

 

Let us examine the motion of hydrogen atom in the space, schematically shown in Fig. 2, and let us carry out the following calculations in the basic qualities.

Let us assume that the speed of the motion of atom is equal to 0.866 from the speed of light, i.e., V = 0.866.а Further the "virtual" velocity а(C - V) аof the flow of vortex, entering the electron is determined as follows:а V in = 1 Ц 0.866 = 0.134, and the speed of flow at the output from the electron (C + V) is equal: V out = 1 + 0.866 = 1.866.

 

For determining the cross sections of these flows we will use formula (1), from which it follows that:а V out S out = V in S in . Therefore the correctly following relationship:

 

V out / V in = S in / S outааааааааааааааааааааааааааааааааааа (4)

 

Let us further to find the relation of the flow cross sections of vortex as follows:

 

S in / S out = 1.866 / 0.134 = 13.92537.

 

It should be noted that the flow cross section, which moves with the virtual speed, equal to 1.866 speeds of light, in this case almost is 14 times less than the flow cross section, which moves with velocity, by the equal to 0.134 speeds of light.

 

Thus, the proposed hypothesis like would enter the explicit contradiction with the theory of relativity on the fact of exceeding the speed of light.а However, this is erroneous!а We have examined the motion of hydrogen atom at first with V << C, and then instantly switched over to the condition: V ≈ C. аIt is known, that the achievement a speed V = 0.866 from the speed of light it is possible only under the condition for the specific energy consumption in the space, i.e., the accomplishment of work.а Therefore it is completely naturally, in the structure of hydrogen atom and its surrounding space will wake up the forces of nature, which will lead to the new steady state of hydrogen atom and will show us, in what we strictly see paradox.

 

The purpose is one - study of the laws of Universe, and, as far as possible, their simple and intelligible explanation.

 

In accordance with the formulas (1 - 3) let us carry out the following calculations.

 

Let us examine, what changes occurred with the lengths of the flows of vortices with velocity V = 0.866 speeds of light.а In accordance with (2) it is possible to obtain the following:

 

L in S in = L out S out = 1.

 

And further, if we taking into account relation (4), it is correct, that the lengths of the flows of vortices will virtual change as follows:

 

L in = 1/ 1.866 = 0.535910, and consequently:а L out = 1 / 0.134 = 7.462690.

 

And thus, the flow of vortex in the multidimensional space decreased its length to equal to value 0.53591; it was reduced by other words almost in 2 times.а In the three-dimensional space the flow of vortex increased its length to value of 7.46269; it was extended by other words more than 7 times.

 

It is clear that, in the process of accelerating (dispersal) of hydrogen atom to the speed the equal to 0.866 speeds of light, on the basis of this hypothesis the following changes in the structure of atom model are inevitable.а First, forces, after arising in the multidimensional space, will act on electron (it 1836.10 times more easily of proton) for the purpose of the decrease of a radius of its orbit due to the forces, which arose in the multidimensional space, since the flow is continuous and any vortex draws in itself physical objects [ 12, p. 414 ].а And these forces can be caused strong, electrical, weak, by gravitational and other interactions, briefly, by the inevitable reaction of space for reaching of the relativistic speed of motion.а It is possible to assert that only this force (forces) will begin to attract electron to the proton, attempting to reduce a radius to the value, equal to = 0.53591 (in the first approximation).а Further we will refine this value, but physical cause is already obvious, and this is the main purpose of this work.

 

In the second place, in the three-dimensional space forces also unavoidably will arise.а The first, that attempts to decrease the rate of vortex to the acceptable value, i.e., not are more than the speed of light. аAnd the second, that attempts to increase the flow cross section of vortex to the value, which corresponds to the new steady state, everything in the same reason:а to draw nearer - means to decrease the length of the flow of vortex and to increase flow ааcrossа аsection ааinа аtheа аfirstа аapproximation, to the natural value, approximately one = 1 / = 1/0.53591 = 1.866 in accordance with formula (2).

 

One should explain that steady states in the space will be further examined in this stage of the hypothesis.а In this case we should be focused attention on the fact that the parameters of the flows of vortices: S, V, and L correspond to transitional values, i.e., unstable (excited), and intermediate, or as it is said earlier, to possible values, which space is approached under the action of its internal forces this caused by energy interactions during the dispersal (acceleration) of the motion of hydrogen atom.а S, V , and L аwe will assign to the parameters

 

of the flows of vortices (with the underlining) to potential values during the stable motion of hydrogen atom with a steady relative speed of V.

 

Hence it follows that a substantial change in the parameters of the flows of vortices will be located in accordance with the laws of their motions, according to formulas (1 - 3).

 

Since, V out = ( 1 + V ), i.e., is not equal to zero, then it is possible to divide both parts of equation (4) on V out , but according to the hypothesis in question (see formula (1)) potential value V in аS in = 1, then we obtain the following expression:

 

S out = ( V in S in ) / V outа = 1 / V out = 1 / ( 1 Ц V ).

 

The further obtained expression let us divide onа V in = 1 / ( 1 Ц V ); in this case we unambiguously exclude the possibility of equality V = 1, i.e., V = C. аThan we take into consideration, that (1 + V ) (1 - V ) = (1 - V ² ). аTherefore we obtain the following expression:

S out / V inа = 1 / V out V in = 1 / ( 1 Ц V ² ).

 

We can analogously obtain the following relationship:

 

S in / V out = 1 / V out V in = 1 / ( 1 Ц V ² ).

 

On the basis of (3), and taking into account the fact, that аL inа = V in ,а and L out = V out , we obtain:

L out / S in = 1 Ц V ² ,

 

L in / S out = 1 Ц V ² .

 

Consequently, lowering the virtual (being unsteady, intermediate) parameters of the flows of vortices, we obtain, that on the basis of formulas (1 - 3) are valid the following ratios for the potential values of the parameters of the flows of vortices in the space at uniform rectilinear motion of physical objects with the relativistic speeds:

 

V in = (1 Ц V ² ) S out ,ааааааааааааааааааааааааааааааааа (5)

 

V out = (1 Ц V ² ) S in ,ааааааааааааааааааааааааааааааааа (6)

 

L in = (1 Ц V ² ) S out ,ааааааааааааааааааааааааааааааааа (7)

 

L out = (1 Ц V ² ) S in ,ааааааааааааааааааааааааааааааааа (8)

 

L in / V in = 1,аааааааааааааааааааааааааааааааааааааааааааааа (9)

 

L out / V out = 1ааааааааааааааааааааааааааааааааааааааааа (10)

 

Formulas (9 and 10) give us the possibility to reduce the number of equations (5 - 8).а However, this should not be made.а First, we do not know thus far, what processes are passed at the joint of two spaces with different dimensionality (three-dimensional and fourth-dimensional), and, in the second place, the measurementslesness of relative units (basic) hides the dimensionality (m/s, m, m², and others) of physical quantities, therefore, simplifying mathematical expressions, it is possible to lose the physical sense of changes in the space.

 

Hence it follows that a substantial change in the parameters of the flows of vortices will be in complete agreement with the laws of their motions at the relativistic speeds of objects, according to formulas (5 - 10).

 

In this case one ought not to forget about the flow parameters in the first approximation, obtained earlier.

 

They are the physical base of the tendency of perestroika of flows and elements of atom in the space.

 

In accordance with the formulas (5 - 8) cofactor (coefficient): (1 Ц V ² ) it relates to the flow cross section of vortex and is prevailing with all its forms both at the entrances and at the flow discharges of vortices.а Consequently, it is possible to assume that in this case the cross section will change inversely proportional this coefficient.а Let us focus attention on the value of the first approximation of the flow cross section of vortex.а Section of the cross flow of the vortex it is proportional to the second degree (square to the length of flow).

 

But, since the length of the flow of vortices is found on the left side of formulas (7 and 8), therefore, the lengths of the flows of vortexes and a radius of orbit in the direction of the motion of atom will approach the following stable state:

 

аааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааа аааа______

R = L = √ 1 Ц V ²

 

In accordance with formulas (9 and 10) the ratio of the length of the flow of vortex to its speed is constant, and since in this case it has a dimensionality of time (T), therefore, occurs the corresponding, but already inversely scaling in the rate of flow of time.

 

Thus, the rate of flow of time changes, i.e., the duration of process, for example, equal , with V << C, it will now approach value equal:

 

аааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааа ______

T = / √ 1 Ц V ²

 

Earlier was introduced concept "duplicating of the flows" of vortices.а What it does indicate?а So that the formulas (5 - 10) would be carried out, it is necessary to find the possibility of passage from the intermediate (virtual, transitional) states to the real physical steady parameters.

 

Consequently, the parameters of the flows of vortices, obtained in the first approximation, must be corrected.а After carrying out simple calculations with the use of results of first approximation according to the formulas (5 - 8), and after taking into consideration of formula (9 and 10), we will obtain that it is necessary the use of certain "correct proportion", let us call its H (by the first name Lorenz).

 

Since, the right side of the formulas (5 - 8), contains coefficient, equal to (1 Ц V ² ), deliberately smaller than one, the is necessary certain increase in the cross-sectional area of the flow of vortex and the adequate decrease of its length.

 

In this case, it is obvious, that it is necessary with the virtual (being unsteady, transitional) parameters to carry out the following: V in , V out , L in аand L out to divide on X, and S in , and S out to multiply on X.

 

It should be noted that in this case will come out a whole series of the coefficients of different caliber and only they are adequate for the parameters L in аand S in , but these parameters exist nothing else but аL' and аS '.а Consequently, first approximation obtains mathematical confirmation.

 

Thus, on the basis of formulas (7 and 8) we obtain the following relationship:

 

L' / H = (1 Ц V ² ) S ' H

 

Further:

 

[ 1 / (1 Ц V )] / H = (1 Ц V ² ) (1 + V ) H ,ааааааааааааааааааааааааааа а(11)

 

where: L' = 1 / (1 + V ) = 1 / (1 + 0.866) = 0.535910 - the first approximation of the length of flow,

ааааааа аааа = 1 / L' = 1 / [ 1 / (1 + V )] = (1 +V ) = 1 + 0.866 = 1.866 - first approximation of the flow cross section of vortex.

 

And finally from formula (11) it is simple to obtain the value of Lorenz's coefficient:

ааааааааааааааааааааааааааааааааааааааааааааааааааааааааа ______

H = 1 / [(1 + V ) √ 1 Ц V ² ] = 1.071720аааааааааааааааааааааааа (12)

 

We further find the steady parameters of the flows of vortices in accordance with (11):

 

L = L ' / H = 0.53591 / 1.07172 = 0.50

 

S = S ' H = (1.866) (1.07172) = 2.0

 

Consequently, formulas (11 and 12) are the confirmation of the fulfillment of the following potential values of the parameters in the atom of hydrogen and flows of vortex in the direction of motion with constant speed (in the basic qualities):

 

ааааааааааааааааааааааааааааааааааааааааааааааа аааа______

T = 1 / √ 1 Ц V ² ,ааааааааааааааааааааааааааааааааааааааа (13)

 

аааааааааааааааааааааааааааааааааааааааааааааааа ааа______

S = 1 / √ 1 Ц V ² ,ааааааааааааааааааааааааааааааааааааааа (14)

 

ааааааааааааааааааааааааааааааааааааааааааааа ______

R = √ 1 Ц V ² ,аа ааааааааааааааааааааааааааааааааааааааааааа(15)

 

ааааааааааааааааааааааааааааааааааааааааааааа ______

L = √ 1 Ц V ² ,ааааааааааааааааааааааааааааааааааааааааааааа (16)

 

ааааааа аааааааааааааааааааааааааааааааааааааааа______

Vv = √ 1 Ц V ² .ааааааааааааааааааа ааааааааааааааааааааааааа(17)

 

 

In accordance with the vortex conception the precise (exact) value of the radius of atom (in the direction of the speed of its motion) will be equal to √ (1 Ц 0.866 ²) = 0.50 in the basic qualities; therefore the length of flow will be also equal to 0.50.а The velocity of the flow of vortex will be equal to 0.50, i.e., two times it is less than the speed of light and, in this case, it does not contain contradictions with the theory of relativity.а The flow cross sections of vortex in this case are equal to 2.0.

 

3.2.4.а An atomic radius during the motion with the relativistic speed

 

Thus, it is established that during the motion with the near-light speed all linear dimensions (lengths) of physical object decrease, i.e., they are divided into the specific parameter, let us name its coefficient by Einsteinа E. And, reduction will occur in complete agreement with formula (16).а Hence it follows that with аV << 1 аcorrectly following:а L = 1.а The decrease of length occurs, thus, according to the following expression:

аааааааааааааааааааааааааааааааа аааааааааааааааааааааааааааааааааааааааааа______

1 / E = √ 1 Ц V ² .

Therefore, the coefficient of Einstein is equal:

ааааааааааааааааааааааааааааааааааааааааааааааааааа ______

E = 1 / √ 1 Ц V ² .ааааааааааааааааааааааааааааааааааааааа (18)

 

In the atom model of hydrogen (Fig. 2) let us place in the center of the orbit of electron the orthogonal coordinate system.а X-axis is directed parallel of the motion V of hydrogen atom, while Y-axis - it is perpendicular to X-axis.

 

In accordance with that outlined above the equation of motion of electron for the orbit around the proton, with V = 0 will represent the equation of a circle.а The equation of this circle (orbit of electron) takes the following form in the basic qualities:

 

x² + y² = 1 .

 

And, the changes in the coordinates of electron are within the limits of the open interval both for x and for y.а These intervals are equal to (-1, +1).а Interval is considered open, since hydrogen atom, nevertheless cannot be located without the motion, i.e., in absolute rest in the Universe.

 

Since during the motion of atom with the relativistic speed (V ≈ C), a change in the x coordinate will be located in the closed interval

 

ааааааааааааааааааааааааааааааааааааааааааааааааааааааааа _______аааааааа _______

[ - √ (1 Ц V ²) , + √ (1 Ц V ²) ],

 

and coordinate y, also in closed the interval

 

[ -1,а +1 ],

 

since it is a priori accepted that hydrogen atom moves rectilinearly and, in this case, there is no velocity component in the direction y.

 

Thus, the reduction of the coordinate of electron motion Xe in accordance with formula (18) will occur in E of times.а Thus, taking into account, that in the direction of the coordinate y of change they do not occur, the equation of the trajectory of electron motion takes the following form:

(x / E ) ² + y ² = 1.

 

And further it is possible to obtain:

 

аааааааааааааа аааааааааааааааааааааааааааааааааааааааааааааааааааа______

[ x / ( 1 / √ 1 Ц V ² ) ]² + y ² = 1.

 

This equation corresponds to the equation of the ellipsis:

 

x ² / A ² + y ² / B ² = 1,

 

where A and B - semi axes of ellipsis.а Let us show this.а It is possible to obtain after simple conversions:

(Xe) ² / ( 1 Ц V ² ) + Ye² / 1 = 1,аааааааааааааааааааааааааааааааааа а(19)

аааааааааааааааааааа ______

where: A = √ 1 Ц V ²а - semi axis along the X-axis (in the direction of the motion of hydrogen atom), B = 1 - semi axis along the Y-axis (orthogonally to the speed of the motion of atom).

 

On the basis of formula (19), with V = 0.866, is obtained the table of the values of radii (Re) of the orbit of electron (in the basic qualities) in the dependence on angle ( α░) of a radius with respect to the X-axis, i.e., the velocity vector of hydrogen atom in the first quadrant of the coordinate system.а The values of these parameters are symmetrical relative to the coordinate axes.а And finally the electron moves along the trajectory of ellipsis with semi axes 0.5 along the X-axis even 1 along the Y-axis.

 

After simple conversions it is possible to obtain the following relationships:

 

R ² e =а [ 1 + ( tg α ) 2 ] / { [ 1 / ( 1 Ц V 2 ) ] + ( tg α ) 2 }

 

R ² e =а [ 1 + ( tg α ) 2 ] / [ E 2 + ( tg α ) 2 ]

 

 

 

аα

 

 

10

 

20

 

30

 

40

 

50

 

60

 

70

 

80

 

85

 

R e

 

 

0.506

 

0.524

 

0.555

 

0.602

 

0.688

 

0.756

 

0.860

 

0.958

 

0.989

 

We have examined in the Cartesian coordinate system the equations of motion of electron around the proton in hydrogen atom.а It is shown that the trajectory of motion passes over the canonical section, i.e., along the ellipsis.

 

The eccentricity (F) of this ellipsis (and also the ordinate of the focus of ellipsis) will be equal:

аааааааааааааааааааааааааааааааааааааааааааааааа _______аааааа _________

F = √ B ² - A ² = √ 1 Ц 1 + V ²а = V = 0.866.

 

It should be noted that Newton examined the motion of bodies under the action of central forces, and had showed, that the precisely canonical sections of the cone are the trajectories of such motions:а ellipsis, hyperbola and parabola [ 9, book 1, p. 22 ].а Consequently, it is completely possible that, in spite of the sufficiently close approach of electron to a proton, especially at the near-light speeds of the motion of physical object, central and basic force in the atom remain the electrostatic force [ 9, book 5, p. 66 ].а But how space does increase this force in the direction of the motion of physical body, moreover in two directions of from the front and from behind moving atom of hydrogen?а It is natural that this is the physical basis of existence of swirl flow in the space.

 

However, it should be noted that Raney Descartes and its followers considered everyone extended by physical, denying empty space.а An motion was examined and was described with the aid of the concept "vortex" [ 8, p. 87 ].

 

It is know that strong interaction occurs with the distances of order 1E-15 m. In the basic qualities this it will compose near 2E-5.

 

It should be noted that according to the proposed vortex conception hydrogen atom must in this case have a speed not less than 0.9999999998 from the speed of light, i.e., the value equal to 2.997924599 E+8 m/s.

 

It is obviously; only then electron will approach up to the distance the proton into the region of strong interaction.а Let us assume that this is possible.а However, it is established that the strong interaction of elementary particles is not central and; therefore according to Newton are not the attribute of the vortex theory [ 9, book 5, p. 286 ].

 

Gravitational interaction, as a rule, are not taken into consideration by contemporary physicists in the examination of the analogous processes [ 9, book 5, p. 319 ].

 

And however, there is a new theory of electro-weak interactions (S. Weinberg, S. Glashaw and A. Salam - Nobel laureates 1979), which can explain the action of forces in hydrogen atom.

 

The following conclusions are obvious from a mathematical point of view.а At the relativistic speeds in the direction of the speed of the motion of physical object occur the following changes in the space within the limits of the selected model of physical object, in particular, hydrogen atom and its hypothetically expressed structure and form of existence, based on the vortex conception.а It should be noted that the decrease of the linear dimensions of the physical objects, which move with the near-light speed, will occur only in the planes of the parallel to direction of motion.а In the direction, perpendicular to motion, the changes do not occur.а Thus, for instance, moving ball will take the form of ellipsoid with the axis, perpendicular to the velocity vector of motion (certainly, if it does not revolve).

 

It is possible to assert that, in the first place, the rate of flow of time slows down (formula 13).а In the second place, the cross-sectional area of the flow of vortex increases (formula 14).а Thirdly, a radius of the orbit of electron decreases (formula 15).а Fourthly, the length of the flow of vortices decreases (formula 16).а And finally fifthly, the velocity of the flow of vortex decreases (formula 17).

 

Analysis of the experiment of Michelson - Morley

 

The explanation of the experiment of Michelson - Morley now becomes obvious.а During the motion with any speed, during the acceleration of motion occurs the decrease of the length of the physical objects:а they actually are compressed in the direction, parallel to the speed of motion.а This occurs in accordance with the proposed hypothesis, named vortex conception.

 

The maintaining the constancy of the single volume of the flow of vortex is the basic and only postulate of theory.

 

Consequently, the measurement of the speed of light in the frame of reference, which moves with the definite speed, for example, on the Earth, contains the natural decrease of distances in the direction of the motion of our planet, and therefore by any experiments cannot be determined its absolute velocity with respect to the system, " which rests " in the space of the Universe.

 

The use of a flow of light rays cannot ensure the proof of relative motion of the Earth in the space in the experiment, since the flow of light is passed along the way of the natural distances, determined by present theory.

 

Analysis of the periodic law of D. I. Mendeleyev

 

The history of development the Universe, or but more exactly its matters, which, in the first approximation, consists only of atoms of chemical elements and vacuum. The atom of hydrogen there was is considered earlier.

 

It is known the first firm element this tables is an inert gas Helium. As always, we expect, that two electrons on the orbit around nucleus Helium, and only two electrons. The nucleus of Helium has only two protons. The radius of orbit for electrons is equal 1. In this instance we shall not render concrete the parameters atomic orbital of electrons a Helium.

 

The areas of cross-section of flows of vortex will conditionally are 0.5. We have two electrons on the first shell. This is their natural and legal existence. The cross-section of vortex will be always equal 0.5 (basic units).

 

The following possible radius for second shell (orbital) of electrons can be is 2 in basic units.

These elements are: Li, Be, B, C, N, O, F, and Ne.

 

The area of cross-section for the second orbit increases in four times. These areas of cross-section will wholly enough for free accommodation eight vortex flows.

 

Look 4 divide 0.5 = 8!

 

The following possible radius for shell of electrons can be is 3 in basic units. These elements are: Na, Mg, Al, Si, P, S, Cl, Ar, K, Ca, Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Ga, Ge, As, Se, Br, and Kr.

 

The area of cross-section for the 3-rd orbit increases in 9 times. It is possible only maximum amount of electrons on this orbit must be not more than 18.

9 divide 0.5 = 18!

 

The following possible radius for shell of electrons can be is 4 in basic units. These elements are: K, Ca, Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Ga, Ge, As, Se, Br, Kr, and so on.

 

The area of cross-section for the second orbit increases in 16 times. It is possible maximum amount of electrons on this orbit must be not more than 32.

16 divide 0.5 = 32!

Conclusions:

 

1. At the constant velocity into the motions of object in the space occurs the decrease (reduction) of lengths (overall sizes, radii) atoms and physical objects in the direction of motion it is proportional to the coefficient:

 

аааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааа __________

√ 1 Ц ( V / C) ².

 

2. At the constant velocity into the motions of object in the space occurs an increase in the duration of physical processes, and also the time intervals between the events (retarding/deceleration of the rate of flow of time) in the direction of motion it is proportional to the following coefficient:а

 

аааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааааа ___________

1 / √ 1 Ц ( V / C) ².

 

3. The maximum amount of electrons on orbital of atoms of chemical elements can not be more the following importanceТs аа2, 8, 18, 32, and so on.

 

Absence of existence of ether in the space of the universe and A. A. Michelson & E. W. Morley experiment (1887), and also the transformation of coordinates and time in the space of J. F. Fitzgerald (1892), and H. A. Lorentz (1904.), and further the conclusions of the special theory of relativity of Albert Einstein (1905), and also the achievement of contemporary physicists are the necessary and sufficient confirmation of the proposed vortex conception.

 

Separately it should be noted that the proposed hypothesis as a whole is adequate to the known assumption of Russian Nobel prize winner (1958) on the physicist I. Ye. Tamm, who in 1934 focused attention on possible existence of the virtual particles between the bosons. Further the Japanese physicist (Nobel Prize 1949) H. Yukawa proposed in 1935 the theory, which explains, that interaction of nucleons occurs as a result of the exchange of mesons [ 9, book 5, p. 288 ].

 

The periodic system of chemical elements D. I. Mendeleyev 1869, then theory N. Bohr about moving the electrons on discrete orbits 1913, and experimental studies of construction of atoms of elements are the necessary and sufficient confirmation of the proposed vortex conception.

 

In the conclusion it should be noted that A. Ampere in 1820 expressed the brilliant idea:а not the conductor, along which flows the current, it becomes magnet, but vice versa magnet is the totality of currents.а This was new view on nature of electromagnetic phenomena.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

References

 

1. аRucker, Rudy: The fourth dimension.

 

2. аAbbott, Edwin: Flatland, New York, Dover Publications, 1953.

 

3. аCondon, E. U.: The handbook of Physics, Second edition, McGraw Hill Book Co., 1967.

 

4. аEisberg, Robert: Fundamentals of modern physics, John Wiley and Sons, 1961.

 

5. аScarre, Chris: Smithsonian timelines of the ancient world, Dorling Kindersley, Inc., 1993.

 

6. аDorthy Michelson Livingston: The master of light. A biography of Albert A. Michelson, ааUniversity of Chicago Press, 1973.

 

7. аBesancon, Robert M.: The encyclopedia of physics. Van Nostrand Reinhold Co., 1974.

 

8. аPhilosophical dictionary / edited byа Frolov I. T. - Moscow: Political publishing house, 1981. - 445 p.

 

9. аSavelyev I. V.: The course of common physics:а in 5 books, Moscow: Publishing house ASTREL, Publishing house AST, 2001.

 

10. аKoltun, M. : World of physics: Scientific and artistic literature, Moscow, 1984. - 271 p., with the illustration.

 

11.а Tamm I. Ye.: The bases of the theory of electricity, Moscow: Publishing house "Nauka", 1976, 616 p., with the illustrations.

 

12.а Large illustrated encyclopedia:а Science and the technology:Translation from the English language - Moscow: Publishing house ASTREL, Publishing house AST, 2002. - 568 p., with the illustrations.

 

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