Valery M. Cheplashkin icon

Valery M. Cheplashkin



НазваниеValery M. Cheplashkin
Дата конвертации02.09.2012
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« The running wave" propagating on electrical power lines of electromagnetic vacuum, velocity of a wave, intensity owns electrical and magnetic a wave field, mass of an electromagnetic field, physical electromagnetic vacuum - world aether of classical physics».


Valery M.Cheplashkin.

The engineer, the designer.

E-mail: vchepl@mail.ru


The abstract.


In paper it is said that the Universe perfect vacuum (PhEMV) is organized by elec­tro«magnetic fields of electromagnetic waves (EMW) propagating on an electric field of electri­cal power lines (EPL) which are organized by electrical components same EMW.

The physical electromagnetic vacuum of the Universe organises absolute space.

In PhEMV charged particles organize the outside electric field of electrical components of electromagnetic fields PhEMV which strength is equal to bulk density of energy of elementary EPL, with the transverse-sectional area of an equal transverse-sectional area of an electron which is an elastic modulus only of an electric field at a tension and squeezing EPL.

Bulk density of electromagnetic energy EPL is equal in theory PhEMV to bulk density of kinetic energy EPL.

The mass of electromagnetic field EPL can be interpreted as an elastic modulus of its elec­tromagnetic field at shear on a unit angle, equal 1/C.

In paper it is said that all EPL moving, and the absolute velocity EMW, spread on EPL, decreases depending on initial velocity EPL and the distance transited by a wave that allows to explain not only a Michelson experiment and space optical appearances without A. Einstein’s spe­cial theory of relativity, but also to expel from the theory "a dark material".

In theory PhEMV each of the fundamental particles organising all material of the Universe, oscillating under the influence of fluctuations of electr«magnetic field PhEMV with frequency, their proportional mass and an inversely proportional Planck's constant, radiates for every second cross and dilatational EMW with energy, equal energy of a fundamental particle.

Dilatational EMW, radiated by all material of the Universe, it is possible to interpret in theory PhEMV as gravity waves. The resultant force originating under the influence of propulsive forces dilatational EMW, longitudinal oscillations of material of the Universe transmitting a kinetic energy, reacting on the material object, is force of the gravitation reacting on this material object.

Introduction.


In the second volume of the textbook of physics under K.A.Putilova's edition [1, p. 67] it is said that under the theory of a short-range interaction educed by Faraday and Maxwell, electri­cal energy is related to the special stressed state of a material medium - fields, and the field inten­sity specifies in some latent motions in the medium filling space. And more low [1, p. 68] it is said that «capacitor plates are attracted with force which, being is counted per unit of area plates, is equal to bulk density of an electromagnetic energy.

And origin of forces in an electric field it would be possible to fancy obviously if to admit that the electrical power lines answering to some special state of medium (space), are in a tension which is measured by bulk density of an electromagnetic energy».

In theory PhEMV the charged particle at interacting with other charged particle does not create an own outside electric field, using for interacting own electric fields of the "running waves" organizing PhEMV.

Own electric fields of "running waves", being joined to a charged particle electric field, organize its outside electric field.

Quantity of electric field strength is equal in electrodynamics to quantity of the resul­tant force reacting on a unit, point charge, seated in this field.

Therefore electric field strength E is equal in theory PhEMV to quantity of bulk density of electrical field energy of elementary EPL, organized by an electric field with strength E and with a transverse-sectional area ∆S→0.

The binding energy between infinitesimal segments of this EPL is equal to bulk density of energy of its electric field, is equal to tensile force in EPL.

It is possible to term an electron as a point charge. Therefore the area ∆S→0 elementary EPL which bulk density of an electrical field energy is equal to strength E of an electric field, should be equal to an electron transverse-sectional area.

Bulk density of energy of flow of electric field strength of an electron in the arbitrary di­rection is organized by projections of vectors of strength of an orbicular electric field of an elec­tron to this direction.

This flow is joined to elementary EPL with the same bulk density of energy.

The binding energy, cohesive force of this stream with elementary EPL is equal to bulk density of energy of this flow with a transverse-sectional area ∆S, an equal transverse-sectional area of an electron, an equal transverse-sectional area of elementary EPL.

It will be more low shown that bulk density of energy EPL including elementary, it is equal to a kinetic energy of unit volume of its moving electric field which it can transmit an elec­tron.

In theory PhEMV an electrical power line is not the line joining, for example, the plus and negative charges along which under the influence of a resultant of strength of the electric fields created by these charges, a test positive charge will move.

In theory PhEMV of elementary EPL the flow of strength of moving electrical compo­nents of electromagnetic fields PhEMV with an equal direction of vectors along the chosen di­rection, with a transverse-sectional area of a flux of strength ∆S, an equal transverse-sectional area of an electron is.

(At such definition «elementary EPL» does not pay attention to remaining neutralized electric fields PhEMV in location EPL

Flows of strength of moving electrical components of electromagnetic fields PhEMV carry out connection between each of bunch of interreacting charges, are joined to each of inter­reacting with each other charges and carries out power interacting between each of charges.

Electron charge is equal to an electric field strength e, created by an electron on radius R = 1 sm which is equal to bulk density of energy of a parallel flow of an electric field strength of the electron which is getting out through a transverse-section of an electron with the area π Re2.

Therefore quantity of elementary charge is equal to bulk density of energy of a parallel flow of electric field strength of the electron which is getting out through a transverse-section of an electron with the square π Re2, equal e.

Through the area ∆S = πRe2, had apart R »Re, it is possible to consider a flow of strength of an orbicular electric field of an electron parallel.

Therefore Coulomb force F of interacting between two electrons which have been had apart R »Re, will be equal to force of interacting EPL with bulk density of energy of flow of the electric field strength, created by the first electron on a sectional area of the second electron, equal e/R2, with a charge of the second electron, equal e. That is F = e2/R2.

Quantity of bulk density of an electrical field energy with strength E at EPL with an unit transverse-sectional area (with a sectional area, equal unity), filled with elementary EPL with electric field strength E, will be quantity E2 which can be interpreted as an electric field elastic modulus at a tension and squeezing EPL . Therefore some properties EPL are similar to properties of a solid.

Following K.A.Putilovu, it is possible to guess that if tensioned EPL to transmit transverse wise a short unit impulse on EPL «the running impulse» will start to be propagating, it is analogous to "a running impulse», propagating on the tensioned string.

The forces reacting on elementary EPL, at propagating on it linear «a running impulse» and quantity of its mass it is possible to count, using a method applied at a deduction of the equa­tion of small oscillations of a string.

At such calculation EPL it is supposed homogeneous and elastic, that is, obeying the law Hooke.

The forces reacting on infinitesimal segments EPL in a plane of vibration, as is shown in Fig.1, are parallel to an axis 0 ψ.



Fig.1

On Fig.1 infinitesimal segment М1М2 of elementary EPL with electric field strength E, projected in an interval [x; x + dx] abscissa axes. The bulk density of electromagnetic energy EPL multiplied by the area of its transverse-section, is equal to cohesive forces and tension in EPL, is its elastic modulus and squeezing, as well as at a solid.

Tensile forces T1 = T2 = T0 act on points М1 and М2 instead of missing segments of ele­mentary EPL. F - a resultant force of forces Т1 and Т2, reacting along an axis ψ. F = T0 (sinα2 - sinα1).

«Running wave" propagating on the tensioned string submits to a wave equation, on in­finitesimal devices of a fluctuating string shearing strains act. [2, p.21]

Propagating on EPL «a running impulse» too should submit to a wave equation.

Each infinitesimal segment M1M2 (x, t) EPL at propagating on EPL transverse «a running im­pulse» under the action of forces F (x, t) is shifted concerning the next infinitesimal segment in time ∆t → 0 on the elementary shear angle ∆α (x, t).

Each infinitesimal seg­ment M1M2 (x, t) EPL at each elementary shear gains a gain of ki­netic and potential energy, equal to the operation made by tensile forces F (x, t) in EPL.

Therefore EPL, incurvated propagating on it sinusoidal «a running impulse», is a broken curve, as is shown in Fig. 6.

Resultant an electric field strength of points M2 and M 3; M4 and M 5 next infinitesimal segments fluctuating to elementary EPL it is equal E0 sin ∆α (x, t) = Eψ1 (x, t), as is shown in Fig. 6.

The electric field with strength Eψ1 (x, t) is own electric field of infinitesimal segments fluctuating EPL, termed so unlike an electric field organizing EPL.

Energy of own electric field originating in each infinitesimal segment EPL, is equal, as will be shown more low, not to the full kinetic energy of a segment, but only to a ki­netic energy gain at their each elementary shear.

Operation of forces F (x, t) at detrusion of infinitesimal segments EPL is equal to the total gained by segments of kinetic and potential energy. At an arcuation of infinitesimal segments EPL there is a tension and squeezing of layers EPL which has been had on the different legs from longitudinal axis EPL, and to formation of the moment of the electrical forces counteracting an arcuation, as is shown in Fig. 4, that is, to formation in them potential energy.

The moment vector of the electrical forces, counteracting an arcuation of infinitesimal sections EPL, is had in a plane, a perpendicular plane of bending of infinitesimal sections EPL, as is shown in Fig. 2 and Fig. 4.

The direction of a moment vector of the electrical forces originating in shifted infini­tesimal sections EPL, counteracting a bending moment, depends on a bending moment direction, and its energy is equal to a potential energy gain at their elementary shear, is equal to a gain of their kinetic energy.


Therefore the moment vector of the electrical forces, counteracting an arcuation of in­finitesimal sections EPL, can be interpreted as a vector of a magnetic field of curved infinitesimal sections EPL.




Fig.2

On Fig.2 two "running" linear impulses which were organized at division of the primary impulse which has originated in elementary EPL with electric field strength^ E under the influence of outside force, for example by an electron are figured.

On Fig.2 directions of bending moments IZG (x.t), reacting on infinitesimal segments M1M2 (x.t) EPL forward and back fronts of "running impulses», propagating on EPL in opposite di­rections with velocity V are shown. Besides, on Fig.2 directions of vectors of own electric field Eψ1 (x, t), originating in infinitesimal segments of forward and back fronts of "running impulses», and also a direction of vectors of magnetic field H (x, t), according to a direction of a counter-torque are shown.

At linking of magnetic fields of parallel infinitesimal segments EPL the magnetic power line (MPL) is organized.

Moving electron, incurvating MPL, transmits them a kinetic energy that increments en­ergy of own electric fields in incurvated infinitesimal segments EPL.

Local increment of the electric field, which vectors of strength it, is perpendicular to mag­netic-field vector MPL which are incurvated by an electron, acts on a moving electron as a Lor­entz force.

At interacting of fluctuating segments of a string with a hindrance the kinetic energy of fluctuating segments of a string and potential is spent also.

To analogously it, at interacting of fluctuating infinitesimal segments EPL with electron energy own electrical and magnetic fields EPL which will be transformed to an electron kinetic energy is spent.

Thus, at propagating on EPL transverse «a running impulse» in shifted infinitesimal segments EPL there is an own varying electromagnetic field.

The vector of strength of an electrical component of own electromagnetic field Eψ1 (x, t) is directed perpendicularly to a direction of propagation of "a running impulse», and the vector of strength of magnetic component HY1 (x, t) is directed perpendicularly Eψ1 (x, t) and to a direction of propagation of "a running impulse».

Some «running impulses» with an opposite direction of a diversion of infinitesimal seg­ments EPL in «running impulses» so, and an opposite direction of vectors of strength of own electrical and magnetic fields, organizes "running wave".

At an interference of electromagnetic waves of destruction of their own electric fields does not happen.

Therefore at enough great volume of the homogeneous electric field with the vector of strength directed along a X-axis, from own electric fields of the "running waves" propagated on EPL along a X-axis, which vector of strength are directed along a Y-axis, are organized EPL, with the electric-field vectors is directed along a Y-axis.

If in enough great volume, for example in Universe volume, there are electric fields with the arbitrary direction of vectors of strength, on EPL which many "running waves" with very small wave-length and amplitude this volume will represent a wave field - physical electromag­netic vacuum (PhEMV) are propagated in various directions.

At an interference of own electric fields of "running waves" in each point PhEMV medial for unit time quantity of resultants of strengths of electrical and magnetic fields E and H, is equal to null, but in any direction there is a neutralized electric field with vectors of strengths + E and -E.

In PhEMV any electric field with strength E is organized by components of electric fields with strength E1, originated in fluctuating EPL with the arbitrary orientation of a plane of vibra­tion, therefore the electric field with strength E is related to electric field E which vector are per­pendicular each other.

Therefore PhEMV it not a considerable quantity not related among themselves EPL, and the wave electromagnetic field, which some properties are analogous to properties of a solid.

EPL which electric fields are organized by moving own electric fields of fluctuating in­finitesimal segments same EPL, too the moving.

Thus, in PhEMV does not exist separate, independent from each other electrical and magnetic fields, they originate si­multaneously in infinitesimal segments EPL at their spear by outside force, that is, by transmis­sion to infinitesimal segments EPL of energy which, in turn, these originated fields can transmit, for example, to an electron.

Therefore any macroscopic electric field with strength ^ E, any EPL with strength E is or­ganized by components of own electric fields of electromagnetic waves (EMV) PhEMV which vectors of strength are directed along vectors of strength EPL or an electric field.

It is possible to term any electrical power line primary which electric field is organized by components of own electric fields of secondary EMV PhEMV

At electrical interacting to energy of the own electric field EMV organized in infini­tesimal segments fluctuating EPL, the equal their kinetic energy gained at the elementary de­tru­sion on an angle ∆α(x, t), potential energy of unbent infinitesimal segments moving EPL is added.

That is, at interacting EMV, for example, with an electron - magnetic field energy EMV will be transformed to electrical field energy.

Therefore bulk density of an electromagnetic energy of elementary EPL with a transverse-sec­tional area ∆S= π Re2 and with electric field strength ^ E will be equal 2E, and bulk density of elec­tromagnetic energy EPL with the unit transverse-sectional area filled EPL with electric field strength E, will be equal 2E2.

Bulk density of electromagnetic energy EPL is equal to a binding energy between infini­tesimal segments EPL which is equal to a cohesive force and tension in EPL. Therefore bulk den­sity of electromagnetic energy EPL can be interpreted as an elastic modulus of electromagnetic field EPL at a tension and squeezing, it is possible to interpret as an elastic modulus of electro­magnetic field PhEMV at a tension and squeezing

As in wave field PhEMV any primary EPL with electric field strength Е is organized by own moving electric fields of secondary EMV, all EPL - moving.

Bulk density of energy of an electrical component of an electromagnetic field moving primary EPL is equal to the kinetic energy of unity of its volume which is the total of a kinetic energy of driving of shifted infinitesimal segments EPL secondary EMW PhEMV which projec­tion of velocity is directed along moving primary EPL.

At merging, for example, two EPL with equal quantity of bulk density of an electromag­netic energy the kinetic energy of unit volume of their total electric field, and potential - the total magnetic field is twice incremented also.

In PhEMV, organized by own electric fields fluctuating EPL, transmission of kinetic en­ergy EPL PhEMV by an electron, moving with acceleration, happens at a modification of parameters of driving fluctuating, moving to acceleration, infinitesimal segments EPL PhEMV.

As the modification of parameters of driving fluctuating, moving with acceleration, in­finitesimal segments EPL PhEMV can happen only to acceleration, the electron, moving without acceleration, cannot transmit a kinetic energy to electromagnetic field PhEMV, moves on inertia.

It will be more low shown that such mass of electromagnetic field EPL, therefore it is possible to guess that the certain amount of the transverse electromagnetic impulses propagated on circular EPL (CEPL), having mass and a own electromagnetic field, can be interpreted as a fun­damental particle. (The possibility of existence of such corpuscle is considered in paper about electron model).

Moving with acceleration, with current velocity V(x, t) the electron is always joined with EPL PhEMV, having the same bulk density of the electrical field energy, having the same kinetic energy.

The amount of secondary EMW PhEMV which characteristic electric fields organize pri­mary EPL PhEMV, joined to an electron charge electric field (the associated field of an elec­tron), depends on velocity of electric fields EPL in the electron location in PhEMV.

The kinetic energy of unit volume of an electric field primary EPL PhEMV, demanded for linking with an electric field of a moving electron, can be compounded the total of a great many of electric fields, moving with small velocity or a paucity of electric fields, moving with a great velocity.

Therefore velocity of motion of the associated field of an electron depends and on velocity of a radiating electron, and from velocity of electric fields in the electron location in the Universe.

It has been above told and shown on Fig.8 that in PhEMV mutually perpendicular an electric-field vector, being by components of own electric fields fluctuating EPL secondary EMW PhEMV, are related with each other.

The electron, moving with the acceleration, joined with an electric field primary EPL, the organized components of a own electric field of secondary EMW PhEMV, directed along primary EPL, declines perpendicular components of an electric field primary EPL in a direction of acceleration of an electron, shifting infinitesimal segments EPL of perpendicular components of an electric field primary EPL, transmitting them for each period ∆t → 0 kinetic energy, equal to operation of outside force

Directions of a flexure of infinitesimal segments of forward and back fronts of declined perpendicular components of an electric field primary EPL (figured on Fig. 3 dashed line) are inverse.

The electric field in each point primary EPL is organized by electric fields of secondary EMW PhEMV, coming to each point primary EPL from the arbitrary directions.

Therefore the magnetic fields organized in infinitesimal segments incurvated by a dilata­tional electromagnetic impulse perpendicular components of an electric field primary EPL, organize circular MPL, coaxial with primary EPL PhEMV, as is shown in Fig. 3



Fig.3

Figured on Fig. 3 primary EPL with electric field strength ^ E0, it is organized by own electric fields of secondary transverse EMW with medial strength of vectors E2 directed along vector E0.

Secondary transverse EMW with the arbitrary plane of vibration, propagating on EPL PhEMV with electric field strength ^ E1. The total strength of medial own electric fields of secon­dary transverse EMW, organizing this primary EPL, is equal to strength E0.

The electron, moving with the acceleration, joined to own electric fields of secondary EMW, transmits them a kinetic energy proportional to their mass and acceleration of an electron, forming in them an additional electromagnetic field which propagating as a dilatational electromagnetic impulse.

At propagating on primary EPL a dilatational electromagnetic impulse (EMI) infinitesimal segments EPL of perpendicular components of an electric field primary EPL gain an additional kinetic energy at detrusion. As process of transmission of a kinetic energy not instant, again originating in EPL perpendicular components of an electric field primary EPL an own electric field with strength dE2/dt varying in a time.

EPL perpendicular components of an electric field primary EPL, having gained a dilatational impulse, deviate in a direction of a vector of acceleration of an electron, transmitting a kinetic energy to following layers EPL of perpendicular components of an electric field primary EPL, which is spread on electric field EPL PhEMV as dilatational EMW. At increase of a kinetic energy of infinitesimal segments EPL of perpendicular components of an electric field primary EPL the magnetic field energy is incremented by the same quantity also.

Magnetic field vectors in stretched EPL perpendicular components of an electric field primary EPL on which the dilatational impulse is spread, organize in a transverse-section primary EPL circular MPL, guided clockwise if to look in a direction of varying electric-field vectors dE2/dt in EPL perpendicular components of an electric field primary EPL. Therefore the magnetic intensity in circular MPL is spotted by Maxwell equations rot H = ε/C (dE/dt)

That is, the direction of vectors of magnetic field H1 in circular MPL is spotted by an Ampere's rule.

Circular MPL originate at any energy transfer varying in a time to perpendicular components of an electric field primary EPL, a modification of their amplitude and a own electric field - by transmission of a dilatational impulse or at squeezing or a tension of stratums EPL at arcuation EPL, as is shown in Fig. 4

At squeezing primary EPL to electric field strength E0 there is a transmission of additional kinetic energy EPL of perpendicular components of an electric field primary EPL, related to own electric fields of secondary transverse EMW PhEMV which organize electric field E0

Therefore in pressing infinitesimal segments EPL there is an additional electric field with strength Ecompres which vector is directed against vector E0.


At a tension of infinitesimal segments EPL with electric field strength E0 in them there is an additional electric field with strength Etens which direction of a vector coincides with a direc­tion of vector E0.




Fig. 4

On Fig. 4 are shown circular MPL with strength Н1 and Н2, originating round the stretched and compression stratums of infinitesimal sections EPL at their detrusion originating at propagating on EPL «running impulse».

The total magnetic field with strength H = H1 (x.t) = Н1 + Н2, originating on boundary of the stretched and compression layers in each curved infinitesimal segment EPL, is directed on a vector of the originated moment, opposing flexing to moment МIZG in curved infinitesimal seg­ments EPL, is directed perpendicularly to plane of flexure EPL and strength of own electric field EMW.

The magnetic field which has originated in each infinitesimal segment EPL incurvated at detrusion is analogous to the magnetic field of the elementary solenoid is directed along its axis.

Each infinitesimal segment fluctuating EPL with electric field strength ^ E0 at propagating on it of "running wave" is shifted concerning the next segment under the influence of forces F(x.t) in time ∆t→0 on the elementary angle of shear ∆α(x.t).

That is, in time ∆t → 0 each infinitesimal segment M1M2 (x +dx, t) is moved concerning the next segment M1M2 (x.t) on angle ∆α (x.t), as is shown in Fig.5.

As small fluctuations EPL are considered, at which angle of its deflection α→ 0 force ^ F (x +dx, t), reacting on infinitesimal segment M1M2 (x +dx, t), is approximately equal to force F (x.t), re­acting on infinitesimal segment M1M2 (x.t).

Therefore the relative angle between two any next infinitesimal segments M1M2 (x.t) and M2M3 (x.t) elementary EPL on which «the running impulse» propagates, is equal ∆α (x.t), as is shown in Fig. 5.



Fig. 5

Therefore an increment of resultants of projections of tensile forces Т1 and Т2 on an axis , reacting on points M1 and M2, is directed on Fig. 6 in a negative direction of an axis , equal T0 (sin α2 - sin α1), it will be equal T0 sin 2 ∆α (x.t), as is shown in Fig. 6.



Fig. 6

Resultant size of intensity of own electric field of extreme points of next infinitesimal segments M2 and M 3; M4 and M 5 fluctuating elementary EPL, as is shown in Fig. 6, it is equal E0sin∆α (x, t)

Potential energy of an infinitesimal segment of string Wpot fluctuating under the influence of a linear wave propagating on it, with the schema explaining formation of potential energy in a string, represented on Fig. 7, it was calculated in [2, p. 31].



Fig. 7

Potential energy of an infinitesimal segment of string Wpot (length dx and section σ) is equal to work of force F1 at its shear, defined by angle α (Fig. 7) or a relative displacement of the ends of an element on size ds. As the length of an element is equal dx at the elementary deforma­tion defined by angle dα, force F1 makes work F1ds = F1dx d α (1). Where force F1 distorting an element: F1 =N σα; N - an elastic modulus of a string.

Similar dependences should be carried out and for infinitesimal segments fluctuating ele­mentary EPL in which force ^ F1=N σα, distorting element EPL, is equal T0 sin 2∆α (x.t) = 2E0 sin 2 ∆α (x.t) = 2E0 2 ∆α (x.t) where 2E0 - size of bulk density of energy of an electromagnetic field elementary EPL, being an elastic modulus elementary EPL. Half of work on shear of infinitesi­mal segments by force T0 sin 2 ∆α (x.t) = 2E0 2 ∆α (x.t) is spent for formation of a kinetic energy of infinitesimal segment M1M2 EPL - on formation of own electric field of infinitesimal segment M1 M2, and second half of work - on potential energy formation - a magnetic field of infinitesi­mal segment M1 M2 elementary EPL.

The infinitesimal segments EPL, fluctuating under action of "a running impulse», are moved from each other under the influence of changed outside force ^ F (x, t) with various accel­eration a(x, t).

Infinitesimal segment M1M2 (x, t) EPL with mass ∆m, moving under the influence of force F (x, t) with acceleration a (x, t) = dV(x, t)/dt, increases the velocity in time ∆t → 0 by size ∆V(x, t) which in time ∆t → 0 it is possible to consider as size to constant, equal size (a(x, t) ∆t) = (dV(x, t)/dt) ∆t.

This infinitesimal segment M1M2 (x, t) in time ∆t → 0 receives an impulse ∆m∆V (x, t), a kinetic energy ∆W kin (x, t) = l/2 ∆m∆V2 (x, t) and, equal to it, potential energy ∆Wpot. Total energy ∆W, received by infinitesimal segment M1M2 (x, t) EPL with mass ∆m in time ∆t → 0, will be equal ∆m∆V2 (x, t).

The work made by force F (x, t) at shear of segment M1M2 (x, t) on a path ∆S in time ∆t → 0, will be equal to total energy ∆W (x, t), received by infinitesimal segment M1M2 (x, t) EPL with mass ∆m, will be equal ∆W (x, t) = F (x, t) ∆S = F (x, t) ∆V (x, t) ∆t = ∆m∆V2 (x, t) (2). Where F (x, t) it should be equal to the doubled force F1 demanded, it agree Fig. 7, for formation in infinitesimal segment EPL only the potential energy equal to energy of a magnetic field, formed in infinitesimal segment EPL.

At division of both parts of equality ^ F (x, t) ∆V (x, t) ∆t = ∆m∆V2 (x, t) on ∆V (x, t), we will receive equation F (x, t) ∆t = ∆m∆V (x, t) (3) or F (x, t) = ∆m ∆V/∆t = ∆m a (x, t), according to the second law of the Newton.

Thus, at elementary alteration of an infinitesimal segment elementary EPL on angle ∆α (x.t) under the influence of force ^ F (x, t) in time ∆t → 0, work of force F (x, t) dS is spent for an in­crement kinetic and potential energy of an infinitesimal segment elementary EPL.

From the schema represented on Fig. 5 and Fig. 6, it is visible that at shear of an infinitesimal segment elementary EPL on angle ∆α (x.t), force F (x.t), reacting on a moved infinitesimal segment elementary EPL, corresponds to the doubled angle of shear equal 2 ∆α (x.t). Therefore force F (x.t) is equal to the doubled force F1 demanded only for formation a magnetic field in the moved infinitesimal segment elementary EPL.

Therefore the size of force ^ F (x.t), demanded for shear of an infinitesimal segment elementary EPL on angle ∆α (x.t), satisfies to equation F∆t = ∆m∆V (3), the Newton corresponding to the second law.

Thus, in theory PhEMV the cause of originating and the mechanism of action of the sec­ond law of the Newton speaks.

If the infinitesimal segment M1M2 EPL, located along an axis X, starts to move with acceleration a = dV/dt, is directed along a positive direction of axis Y, bending it concerning the previous position on angle ∆α during time ∆t → 0 it will move with a velocity ∆V = (∆V/∆ t) ∆t, equal a∆t. This infinitesimal segment M1M2 receives for time ∆t→0 the energy equal to the sum kinetic and potential energy, equal to the doubled size of the kinetic energy, equal ∆m∆V2 (4), where ∆m - mass of infinitesimal segment M1M2.

The wave created by this motion of infinitesimal segment M1M2, propagating with a velocity C, will pass in time ∆t distance S = C∆t.

At ∆V «C the angle ∆α increments of an inclination of a tangent to the axes X, made to moved infinitesimal segment EPL, is equal ∆α = tg ∆α = ∆S/S = (a∆t) ∆t / C ∆t = (∆V)/C (5).

Bulk density of energy of own electric field with intensity E0sin ∆α (x, t), formed at elementary shear on angle ∆α (x.t) in time ∆t→0 each infinitesimal segment M1M2 (x, t) EPL, is equal (E0sin ∆α (x, t)) 2, and electromagnetic - 2 (E0sin ∆α (x, t)) 2 = 2E02 (a (x, t) ∆t)/C) 2 = 2E02 (∆V/C) 2 = 2 (E02/C2) ∆V2 (6).

The size of bulk density of energy of own electromagnetic field of each moving infinitesi­mal segment M1M2 (x, t) with acceleration a (x, t) will be equal at any moment to an energy incre­ment (kinetic and potential) units of its volume, equal ∆m∆V2 if in expression 2 (E0 sin ∆α (x, t)) 2 = 2 (E02/C2) ∆V2 (6), expression 2 (E022) (7), is size of mass of a unit volume of an electro­magnetic field of this EPL.

In this case expression (E022) (8) defines size only masses of electric field of this EPL.

At ∆V «C expression ∆V/C defines an increment of an inclination of a tangent to the axes X spent to moved in time ∆t → to 0 infinitesimal segment EPL, therefore size (1/C) (9) in ex­pression (5) is unit drift angle EPL αед = (a unit of velocity/C) = (1 cm /sec)/C cm/sec.

The unit angle arises, for example, at motion of point M EPL with the fixed co-ordinate X along axis Y with unit velocity.

Bulk density of energy of electromagnetic field EPL with its intensity electrical compo­nents ^ E0, equal (2E02), is equal to binding energy between infinitesimal segments EPL.

Therefore in theory PhEMV bulk density of energy of electromagnetic field EPL can be interpreted as a modulus of elasticity at squeezing and a tension of electromagnetic field EPL.

The size (2E02/C2) in expression (6) defines mass of unit volume EPL, defines size of bulk density of energy of electromagnetic field EPL with its intensity electrical components E0 in which at elementary shear on unit angle αед = (1 cm/sec)/C the cm/sec, arises an electromagnetic field of shear with bulk density of the electromagnetic energy equal to work of force F at shear.

The vector of intensity electrical components of the electromagnetic field which has arisen at shear is directed in a direction of a vector of force F.

The size of bulk density of energy of an electromagnetic field of shear is a modulus of elasticity at squeezing and a tension of an electromagnetic field of shear EPL is equal to its bond energy, binding force with electromagnetic field PhEMV.

Therefore such property of an electromagnetic field as the mass arising at shear by its force EPL, it is possible to define an elastic modulus of electromagnetic field EPL at the shear, equal to work of force F at elementary shear of unit volume EPL on unit angle αед = (1cm/sec)/C cm/sec, equal to bulk density of the electromagnetic energy arising in each infinitesi­mal segment EPL, deflected on unit angle αед = (1 cm/sec)/C cm/sec.

Bulk density of energy of own electric field of infinitesimal segment M1M2 (X.t) (named so unlike electric field strength E0 most EPL) is equal not to full size of a kinetic energy of this infinitesimal segment, but only to size of its kinetic energy received at elementary (instant) shear of this infinitesimal segment, shear defined by elementary angle ∆α (x, t) during this moment of time.

Work of force F (x, t) at elementary shear of infinitesimal segment EPL is spent for crea­tion kinetic and potential energy which is equal to the energy of own electromagnetic field which has arisen in this infinitesimal segment.

If on EPL with electric field strength E0 «the running impulse» propagates, described by function (x, t), as bulk density of energy of own electromagnetic field arising during each mo­ment of time ∆t → 0 in fluctuating infinitesimal segments EPL, will be, according to (4), is equal ∆m ∆V2 = ∆m (a (x, t) ∆t), where ∆m = 2E02/C2 - mass of an electromagnetic field of infinitesi­mal segment EPL, a (x, t) - its acceleration, bulk density of energy of own electromagnetic field of each point fluctuating unit EPL will be equal 2 (E022) (2 /t2 ∆t)2.

At sinusoidal fluctuation EPL with electric field strength E0 with the amplitude of oscilla­tion equal A = А0 cos t, motion of an infinitesimal segment fluctuating EPL with acceleration a(x, t) under the action of force Fx, t) is defined by the equation - 2 А0cost. Therefore intensity of own electric field Eψ1 (x, t), maken in an infinitesimal segment fluctuating EPL, is equal Eψ1 (x, t) = -Eψ1 (max) cost.
^

Independence of mass of an electromagnetic field of a force direction.

Any electric field in PhEMV arises as own electric field fluctuating EPL EMW PhEMV an with arbitrary locating of the vibration planes which vector of intensity can be presented the geometrical sum of mutually perpendicular projections.


Electric field primary EPL with intensity E0 in any point EPL PhEMV is the sum of pro­jections of intensity of own electric fields of secondary EMW PhEMV, directed along primary EPL with total intensity ^ E0, the total bulk density of energy of electromagnetic field EPL equal 2E02 and mass of electromagnetic field EPL, equal 2E02/C2.

Vectors of average intensity of own electric fields Eaver of secondary EMW (the sum of projections of which vectors of the intensity directed along primary EPL, form its electric field with intensity E0), are directed to this primary EPL at an angle 45 degrees, as is shown in Fig.8A.



A B

Fig.8

Vectors of average intensity of own electric fields Eaver of secondary EMW correspond to average amplitude of secondary EMW, fluctuating in a plane, 45 degrees located at an angle to this primary EPL.

Therefore and a transverse primary EPL vectors of projections of average intensity of own electric fields of secondary ЭМВ with intensity ± 1/2 ^ E0 are directed.

Therefore in any point PhEMV at primary EPL with electric field strength E0 total bulk density of energy of an electromagnetic field with intensity electrical a component, directed per­pendicularly primary EPL, too is equal 2E02.

That is, both longitudinal electric field EPL and transverse are components of average own electric field of secondary EMW PhEMV, are components of own electric fields same fluctuating EPL secondary EMW PhEMV.

Therefore bulk density of energy of electric field EPL is equal to bulk density of energy of average own electric field EPL of secondary EMW which projections form longitudinal and transverse electric field EPL.

Therefore at action on primary EPL with electric field strength E0 and mass of an electromagnetic field 2E02/C2 the outside force F directed along primary EPL, as is shown in Fig. 8B, there is a deflection perpendicular a component of electric field primary EPL to total mass 2E02/C2 in a direction of action of force F and formation in them of a kinetic electromagnetic field with intensity electrical components Ekin.

Vector Ekin is directed against a vector of outside force ^ F.

Thus, electric field strength EPL equal E0, defines the full electric field strength EPL equal to the geometrical sum of intensity longitudinal and perpendicular components of electric field EPL.

Therefore the mass of a unit volume of electromagnetic field EPL with its intensity elec­trical components E0 at any direction of the outside force reacting on it will be equal 2E02/C2.
^

Radiating mass of fluctuating infinitesimal segments EPL.


Electrical a component of own electromagnetic field with intensity Eψ1 (x.t), maken in fluctuating infinitesimal segments M1M2 (x.t) elementary EPL (formed by electric field with inten­sity E0) as the projection of electric field E0 to an axis ψ, making at shear of infinitesimal seg­ments M1M2 (x.t), is joined with EPL PhEMV, having the same electric field strength, from two sides elementary EPL (convex and concave).

Bulk density of energy of electromagnetic field EPL PhEMV, own electromagnetic fields joined to electrical components fluctuating infinitesimal segments M1M2 (x.t) elementary EPL with intensity ^ Eψ1 (x.t), is equal 2E2ψ1 (x.t) = 2E02 sin2 ∆α (x.t), is equal to the sum of bulk densities kinetic and the potential energy received by each infinitesimal segment M1M2 (x.t) at their each elementary shear on angle ∆α (x.t).

Therefore mass EPL PhEMV (infinitesimal segments M1M2(x.t), joined to own electric field), being in radiating mass of fluctuating infinitesimal segments M1M2 (x.t) elementary EPL, will be equal to the doubled mass of an electromagnetic field with intensity electrical components Eψ1 (x.t).

That is, the radiating mass of a unit volume of fluctuating infinitesimal segments M1M2 (x.t) EPL, formed by electric field with intensity E0, having own electric field with intensity Eψ1 (x.t), will be equal 2 (2E2ψ1 (x.t) /C2) = 2 (2E02sin2 ∆α (x.t) /C2), where ∆α (x.t) - angle of elemen­tary shear of infinitesimal segment M1M2 (x.t), depending on acceleration a (x.t) infinitesimal seg­ments M1M2 (x.t).

As ∆α (x.t) = ∆V/C = (∆V/∆ t) ∆t/C = ∆V/C (5), sin2 ∆α (x.t) = (∆V/C) 2 = [(a(x.t) ∆ t)/C]2.

Therefore the radiating mass of an electromagnetic field of infinitesimal segment M1M2(x.t) EPL with electric field strength ^ E0 is equal 2 (2E02 / C4) (a (x.t) ∆ t) 2 ≈ 2 (2E02 / C4).

That is, the radiating mass of a unit volume of fluctuating infinitesimal segments M1M2 (x.t) EPL on which «the running impulse» propagates, approximately in C2 is less than mass of this EPL.

Thus, propagating on EPL EMW forces to fluctuate infinitesimal segments EPL which transfer motive energy EPL PhEMV. In EPL PhEMV new electric fields with intensity ^ Eψ2 (x.t) and coaxial it (as is shown in Fig.3 and Fig.9) magnetic fields with intensity Hψ2 (x, t), propagating on EPL PhEMV as a longitudinal electromagnetic impulse with a velocity C, are created.

Energy of this longitudinal electromagnetic impulse is equal to the kinetic energy trans­ferred by fluctuating infinitesimal segments EPL and received EPL PhEMV.

Thus, the mass moving c acceleration of an electromagnetic field with energy WEM is de­fined by the sum of its own bulk density of energy WE M divided on C2, and its radiating mass, that is, mE M = WE M/C2 + mE M RAD



Fig. 9

On Fig. 9 it is shown EPL on which two propagate «a running impulse» in a positive di­rection axes X, with vectors of accelerations a (x, t) with which its infinitesimal segments M1M2 (x, t), vectors of intensity of own electric field Е1 (x, t) and a magnetic field with intensity Hy1 (x.t) depending on a phase of fluctuation EPL in «running impulses» " running wave" move.

Besides, on Fig. 9 vectors of intensity of own electric field Е2 (x, t), arising in EPL PhEMV are shown, by transfer of a kinetic energy by it moving with acceleration by infinitesimal segments M1M2 (x, t) fluctuating EPL, deflected in a direction of a vector of acceleration a (x, t).

On Fig. 9 are still shown also circular MPL, arising together with electric fields with intensity Е2 (x, t), directed against a vector a (x, t).

At change of a direction of a deflection of infinitesimal segments EPL in «a running im­pulse» the direction of outside forces F (x, t), reacting on infinitesimal segments fluctuating EPL variates and, means, a direction of accelerations reacting on them and moments of deflection.

Therefore it is simultaneous with change of a deflection of infinitesimal segments EPL the direction of vectors of intensity own electrical variates and magnetic fields, arising in moving with acceleration infinitesimal segments EPL linear «a running impulse», conserving right-handed system of orientation of vectors E, H and C.
^

Velocity of propagation of "running waves" on EPL.


Velocity of propagation of transverse waves in a string is defined by expression: a =Т / ρ, where Т - a tension (elastic modulus) of a string, ρ - mass of a unit of length of a string.

It has been above shown that bulk density of energy of electromagnetic field EPL with its intensity electrical components Е, equal 2Е2, is elastic modulus EPL at a distention and compression. Mass such EPL, without considering radiating mass of fluctuating infinitesimal segments EPL, it is equal 2E2/C2.

Therefore velocity of propagation of transverse waves on EPL is equal a =Т / ρ = (2Е2) / (2E2/C2) = C (10)

Therefore transverse "running wave" with right-handed system orientation of vectors E, H and C, radiated by an electron, propagating with a velocity C on EPL PhEMV, can be interpreted as a transverse electromagnetic wave.

Total of the longitudinal and transverse "running waves" propagating on primary EPL PhEMV, joined with EPL the electron charge, forming - the attached field of an electron, - it is possible to interpret orbicular electric field of a fluctuating electron as longitudinal and transverse orbicular electromagnetic waves.

It has been above told that running velocity of the attached field of an electron depends and on velocity of a radiating electron, and from a percentage ratio of electric fields in any place of the Universe, moving with various speed.

Therefore travelling velocity of electric fields in any place of the Universe depends on their location in PhEMV.

Average velocity and acceleration of fluctuating atoms of material of the Universe under the action of fluctuations PhEMV, is very small. Therefore energy EMW, radiated by material of the Universe under the action of fluctuations PhEMV which is mostly of electromagnetic energy PhEMV, is very small.

Therefore travelling velocity primary EPL in interstellar space, far from large moving masses of planets and asters is very small, is defined by travelling velocity EPL of secondary EMW which own electric fields forms primary EPL PhEMV.

Therefore velocity of propagation of light is equal in interstellar space C.

Travelling velocity of secondary EMW, which forms own electric fields primary EPL PhEMV, being near to a massive planet, gradually increases in process of interaction with fluctuating atoms of a planet, receiving an additional kinetic energy and velocity from atoms of material of a planet, moving with velocity of a planet.

Therefore even at velocity of an electron V → C the big percent of light radiated by them on a surface of planet Earth propagates on EPL, moving with a velocity VEarth, that explains both experiences of Majkelsona and that fact that light radiated by a relativistic particle, simultaneously is registered the measuring devices located before and behind a particle.

On Fig. 10A the transverse orbicular electromagnetic wave, radiated by the fluctuating electron, propagating on EPL PhEMV is represented.

On Fig. 10B the transverse electromagnetic wave radiated by the fluctuating electron, propagating on EPL PhEMV, located in a plane X Y Fig.10A is represented.



A B

Fig. 10

Conclusions.

Thus, PhEMV is medium on which light propagates, providing interaction of particles and atoms among themselves, the latent locomotion’s in which, according to K.A.Putilova's words in the beginning of article and are displayed available electric field in which each volume it is concentrated the more than electrical energy, than it is more here field intensity.

The literature.

1. The physics textbook under K.A.Putilova's edition, V. 2, ГИФМЛ, Moscow (1959).

2. The physics textbook under G.S.Landsberga's edition, V. 3 "Optics", ГИТТЛ, Moscow (1940).

The signature of author Valery Mihajlovich Cheplashkin.

2012-03-20




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