The article has been declined by "Journal of Experimental and Theoretical Physics", "Letters to Journal of Experimental and Theoretical Physics" (Russia), "Ukrainian Physical Journal", "Physics Letters A" and "Physics Letters B" (Netherlands).
V. T. Vertushkoff
Dniepropetrovsk, 49128, Ukraine
Date of place: 14 October 1999 year
Planck’s units of electric (electrostatic) and magnetic
interactions, which are analogous to the known units of gravitation
interaction, are obtained. Planck’s particle Pl has the characteristics: Eg=mpc2, mp»2,18´ 10-8
kg, Ee=qpc2, qp»1,87´10-18C,
Em=mpc2, mp»1,13´10-16
N, L=ħ, pm»4,89´10-22 mB.
Suppose that physical vacuum serves as the source of energy letting out during gravitation interaction of immovable point masses M and m. Masses M and m compensate the arising vacuum energy e<0 and acquire mass defect Dm. Then the energy of interaction E of masses M and m is equal to E=e=Dmc2, Dm<0. Hence F=e/r, r – the distance between M and m. (As a result of compensation the full energy of vacuum et in volume V of space laying along the segment r doesn’t change: et =½Dm½c2+Dmc2=0). If m is a mass of free material point, then acceleration will be
At M=const, r=const and υ0=0, a=const,
because the ratio Dm/m=const is independent from mass m of
material point. At a=const power
is
influence on mass m, is proportional to this mass.
This stated eliminates the necessity of constant gravitation field is being created by material point of mass M. Local, labile gravitation fields arise directly during the interaction of immobile point mass M with free point masses m1, m2 , ..., mn.. Depending on mass mn (at M=const, r =const, υ0=0) different meanings have defect of mass Dm and energy e=Dmc2 along the lines which are joining the masses m1, m2 , ..., mn with mass M.
let’s assume, that the sign minus is
also created by defect of mass Dm=-M in the formula of intensity of
gravitation field g. Then
the intensity g is a characteristic
of constant, spherically symmetrical of stationary
gravitation field was created by immovable closed
world containing the resting mass M.
In a closed world the gravitation defect of mass Dm is equal to its own mass M [1]. Vacuum energy in volume V of the closed world is equal to e=Dmc2=-Mc2. Taking into account the compensation by energy E=Mc2 the whole energy of vacuum
et in closed space is equal to zero. Resting mass of the closed world is
also equal to zero. In general case the value½Dm½ – it is an equal to zero a part of resting mass M, which compensates the energy e<0. Within the limit at Dm=-M in the space of closed world mass M=0 (the static closed world). While the closed world is
being created by mass M the energy E=Mc2
is being released out of vacuum. The outer gravitation field of the closed world will have the energy of vacuum e=-Mc2. At the moment of its
formation the closed world is transforming into vacuum (virtual) condition.
In the static closed world the substance is situated in the most stable state (as mass M=0). Gravitation interaction of real masses is the process of spontaneous transition of the substance into more stable state. In this process the meanings ½Dm½ of interactive masses are increased.
The connection of gravitation, electric and magnetic interactions is discovered at a comparison of Planck’s units, which correspond to these interactions. To receive the electric units for the corresponding formulas instead of the gravitational constant GN we shall introduce the coefficient of proportionality ke=1/4pe0 (e0 – electric constant).
(In formulas the Planck`s constant is slased -ħ).
Gravitation and electric units are connected by the constant
If we include the coefficient of
proportionality km =m0 /4p (m0 – magnetic constant) into the same formulas,
we’ll receive Planck’s
units of magnetic interaction.
Under magnetic “charge” mp we understand force F, which is analogous to force Fm of magnetic pole of the
magnetized rod.
The constant of the
connection of the gravitation and magnetic units
The constant of the connection of the electric and magnetic
units
ke
These constants of units connections are
united by the expression kmg=kem´keg (table).
Let’s write down the correlation mpclg=Egtg=ħ. The angle moment L=ħ arises, obviously, during gravitation field rotating with the energy of the field Eg=mpc2 and the period of rotating T=tg. To confirm this supposition it is necessary to
accept, that mass mp is being in closed three-dimensional space with
vacuum energy value e=–mpc2. Negative vacuum energy is compensated
by positive energy of mass mp, which is equal to Eg=mpc2. As a result the rest mass of closed
system is equal to zero. Mass mp
is situated in the closed space and is also equal to zero. The closed space is
revolving on its own axis with angle frequency w=2p/tg.
qp=kegmp (table) – electric charge qp
arises during the revolving of mass mp
on its own symmetry axis with numerical value of turning speed w =keg» 1,72´10-17 s-1.Out side charge of the closed system is opposite to the sign of
charge of mass mp. If both
parts of equation qp=kegmp are multiplied by c2, we
receive Ee=kegEg.
Analogically Em=kemEe, Em=kmgEg.
Velocity of light c=lg/tg=le/te=lm/tm.
In the system of reading of outer observer Planck’s particle Pl (closed space containing the charged mass mp) represents itself a
point. This point is moving with speed c along
the immovable axis and is simultaneously revolving on its own axis with
frequency w =2p/tg. The angle moment L of particle Pl is equal to L=Egtg=ħ
and is created by the rotation of gravitational field,
which is contained in the closed space. Field energy Eg=½e½=mpc2.
Magnetic moment pm Pl – particle is
equal to pm=0,5Eetekeg» 4,89´10-22mB and is created by rotation of the electric field, being in the closed space. Its energy is equal to Ee=kegEg=qpc2. So far as te=le/c, that is Eete=qpc2(le/c)=qpcle. We shall note that the charge qp of electric field in the closed space is contrary in sign to the
charge qp of mass mp.
Thus the summary inner charge of the closed space is equal to zero. (Analogically the gravitation field compensates the gravitational charge mp in the closed space). Just as the closed world, Pl – particle has the outer gravitation field
with energy Eg=mpc2, and the outer electric field with
energy Ee=qpc2 as well. The energy of magnetic field Em=kemEe=mpc2. Planck’s massless particle Pl has such characteristics: Eg=mpc2, mp» 2,18´10-8 kg, Ee=qpc2, qp» 1,87´10-18C, Em=mpc2, mp»1,13´10-16N, L=ħ, pm»4,89´10-22mB.
|
|
Constants |
lp |
tp |
Chargep |
||
|
Planck’s units |
Gravitational |
m3kg-1s-2 |
m |
s |
mp»2,18´10-8 kg |
Eg»1,22´1028 eV |
|
Electric |
m3kg-1 |
ms |
te»3,13´10-27 s2 |
qp»1,87´10-18 C |
Ee»2,10´1011 eVs-1 |
|
|
Magnetic |
km»2,50´106 mkg-1s2 |
lm»3,13´10-27 s2 |
tm»1,04´10-35 s3m-1 |
mp»1,13´10-16 N |
Em»6,30´1019 eVms-2 |
|
|
Cons- tants of units con- nec- tion |
|
keg»1,72´10-17 s-1 |
le=lg /keg |
te=tg /keg |
qp=kegmp |
Ee=kegEg |
|
|
kem»3,00´108 ms-1 |
lm=le/kem |
tm=te/kem |
mp=kemqp |
Em=kemEe |
|
|
|
kmg»5,17´10-9 ms-2 |
lm=lg/kmg |
tm=tg/kmg |
mp=kmgmp |
Em=kmgEg |
|
References
[1] Ya.B. Zeldovich and I.D. Novikov, Structure and evolution of the Universe
E-mail: vertushkov@ua.fm
V. Vertushkoff
Kommunarovskaya str. 16,
Flat 332.
City Dniepropetrovsk,
UKRAINE, 49128