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                                         ISBN 978-5-364-00517-5

B.F. Poltoratsky

FUNDAMENTAL PARTICLES

IN PICTURES WITHOUT HYPOTHESES

 

The present book contains the results of the research of a circular and vortical motion of electromagnetic waves under various conditions of their distribution.

First numerical experiments are carried out in immobile dielectric wave-guides. Then circular waves have been analyzed in the mobile and nonlinear medium from Maxwell’s position. But further the transition has been carried out to completely dynamic equations of an electromagnetic field, which contain inertial forces, defined through a mass density of medium and acceleration. These equations naturally unite the classical mechanics and Maxwell-Hertz equations, which leads to the entirely dynamic description of a wave process. This forms the basis for consideration of the evolution of elemental electromagnetic vortexes in a nonlinear and linear medium. The present work outlines the conditions, which are necessary and sufficient for the experimental generation of macroscopic electromagnetic vortexes.

Interaction of vortexes among themselves occurs through constant fields of charges, and also through variable fields, which are propagated ad infinitum. It is established, that the vortexes interaction in a near wave zone through variable fields is characterized by the presence of a discrete system of steady states. This interaction gets the Kulon’s character in a far wave zone. Such properties of vortexes lead to new understanding of a quantum mechanics and the nature of an origin of gravitational forces.

            The suggested theory is developed exclusively on the basis of well-known laws of motion and electrodynamics. It excludes concepts like dualism and does not require any physical hypotheses for its substantiation.

 

            CONTENTS

 

The preface …............................................................ … … … … … … ….. .4

 

Introduction

1. The choice of an initial position and statement of a problem … … . … …. . … ….. 9

2. Rotation of an electromagnetic field: the general physical picture. …. … …….…. 12

3. The technique of computing the fields of an electromagnetic vortex…. …. …….... 15

 

 The electromagnetic vortex in a linear medium with spatial inhomogeneity

 

1. Conditions of keeping an electromagnetic wave within the dielectric wave-guide ….......  20

2. A multimode vortex in a toroidal dielectric wave-guide …... …………………….…....  24

3. An electromagnetic vortex in a spherical wave-guide … … … … ….... … … ….…....  31

4. The basic features of electromagnetic waves running in a circle … … … … ……... .....  34

 

The electromagnetic vortex in a nonlinear medium

1. The single-mode vortex in a nonlinear medium … …..................… … … …   ……......35

2. Generation of macroscopic vortexes in experiment............ … … … ……………….....37

3. The field in near and far zones. The vortexes interaction through variable fields……. ......39

 

The conclusion … … … … … … … … … … … … … … … …………...  42

Appendixes…………………………………………………………………   46

1. Electromagnetic properties of the nonlinear medium … … … … … … … ……….…...46

2. Maxwell-Hertz equations and dynamic equations of the field

      in the mobile linear and nonlinear medium.. … … … … ………….. ………….…52

3. Approximate solutions of field equations … … …. … … … … … ……..….…… .......60

4. Partial waves and spherical harmonics…… … … … … … … …………….... …  ......64

5. The field’s expansion on spherical harmonics and the problem of rotating

 electromagnetic waves … … … … … … … … … ……………………...… ……. 67

 

        Bibliography.. … … … … … … …. … … … …  …………..…… ……… 72

 

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