Having thus established the correspondency between
electrodynamics and gravitation and the principle of relativity, we can
try to obtain gravitation from electromagnetism, and precisely from that
of its components which was not present in the classical variant, i.e.
from (35).
Suggest that, for elementary particles are subject
to either 'trembling' or rotation precession or orbital motion, all of
them have a component of return- progressive motion towards each other.
So, if we name the average velocity of electron's return- progressive motion
as ve, and the average velocity of proton's return- progressive
motion as vðr., then
according to (35) and Kulon's law the interaction of the electrons at distance
r
from å is a charge of electron
(proton).
Here the first item in brackets corresponds to
the usual repulsion of equal charges, while the second item realizes their
weak attraction which corresponds to gravitation, so
å2(1-ve2/c2)/4r2
where e-electron's (proton's) charge.
-e2ve2/ 4r2ñ2
=
-me2/r2,
from where the electron's mass
where d = d0
dk , d0 - the
new absolute world constant of mass and charge equivalence,
valied in
, (40)
ànd dk - a relative parameter of mass and charge equivalence, depending on velocities of 'trembling' of the charges and generally valued in
On the contrary, untwisting of a body results in its magnetizing. Thus the Earth's magnetic field could apparently be of mechanical nature. Besides, having demonstrated the electrical origin of gravitation, we have confirmed once again the reason of electrodynamics equation system improvement by means of (35), and this makes us to revert again to SRT and GRT.
The fact is that SRT is based on fundamental transformations of coordinates by Lorenz-Einshtein, the correctness of which is justified by the invariance of classical system of electrodynamics equations towards them. But however, as far as we had to change this system it is no more invariant towards the transformations made by Lorenz- Einshtein which were prooved incorrect as well as SRT and GRT were.
And though the author's attitude to formal manipulations of systems of coordinates has been always suspicious, for these manipulations cast a shadow upon the physical sense of the processes [A. A. Denisov The Myths ot the Theory of Relativity.- Vilnius 1989-52 p.], still for those for whom mathematical speculations are more important than their scientific meaning, we will show the conversions of coordinates, to which the (35) - improved system of electrodynamic equations is invariant and which correspond to the principles of classical relativity; resulting from (1a) and (1b):
x' = (x
-
vt
)/(1
-
v/c),
y'= (y - jvt
)/(1
-
jv/c),
z'=
(z
- jvt
)/(1
-
jv/c),
t'x
= (t-xv/c2)/(1-v/c), t'y
= (t - j vy/c2)/(1
-
v/c),
t'z = (t - jvz/c2)/(1
-
v/c
), (43)
where it is implied that the experimenter's motion
occurs along axis x with velocity v.
However this system of coordinates is oblique
- angled, where axes y' and z' are turned
at angle
=
arcsin
v/c
in relation to y and
z from the point of view of a stationary
observer. So in it there are x'2+y'2+z'2
=
c2t'2
for spheric light wave, while the Einshtein's interval x'2+y'2+z'2-c2t'2
is not invariant.
Instead, the invariant one is the following construction:
x'+ct'x=x+ct
,
y'+ct'y=y+ct,
z'+ct'z
=z+ct,
(44)
presenting the interval in oblique-angled coordinates.
To finalize we would like to remind that the anisotropy of the results of coordinate conversion for v and - v should be averaged harmonically in electrodynamics and geometrically in mechanics and gravitation.
Then we can obtain formalism in gravitation and
electromagnetism as well.