ISBN 978-5-364-00517-5

**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 Maxwells 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 Kulons 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

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

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

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 fields expansion on spherical harmonics and the
problem of rotating

electromagnetic
waves
...
. 67