*109202*
Lebedev
V.A.
Institute of thermophysics, Siberian Branch, Russian
Academy of Sciences, Novosibirsk, Russia
PROPERTIES
OF A CENTRAL SYMMETRIC POWER FIELD
Известно, что определенные физически
обоснованные предположения и аналогии позволяют представить феноменологическую
модель энергетического поля (э/м излучения) в виде непрерывного континуального
поля в полном соответствии со статистическим описанием процессов переноса
энергии излучения в электронном газе. Следовательно, предоставляется возможность
для рассмотрения процессов переноса энергии в рамках механики сплошной среды
[1, 2, 3]. При этом точечный или сферический излучатель энергии рассматривается
как источник центрально-симметричного потока сплошной среды в окружающее
пространство.
Ряд исследований показывает, что
феноменологическое рассмотрение обратного по знаку процесса –
центрально-симметричного сферического стока сплошной среды, чей поток имитирует
энергетическое (силовое) поле, может быть весьма продуктивным.
Gravitating
bodies in an infinite liquid space are considered as sinks of an ideal liquid
of density 
. A weak-compressible fluid medium flows into growing spherical sinks.
Analysis of the motion of this liquid [4] shows the following. Spherical sinks
interact with each other according to the law, which exactly coincides with
Newton’s law of gravitation: by forming masses m
and m
of the bodies the flow makes them approach to one another
with the force F = – G m
(t) m
(t)/R
(t). The gravitation constant G = 1/4π
= R
/3mt
of such systems contains the quantity 1/
. Here 
– density of the fluid medium, R – the distance between the
centers of the bodies, t
– indicative time of duplications of mass of growing body
(sink of fluid medium) [5]. Strictly, without any postulation, the liquid
discharge determines the equality of a gravitating and an inert masses. This
involves the regularity t
~ R
, where t is the
time of the cycle of the body rotation. The time t
characterizes the rate of growth of mass gravitating bodies
of the Universe rather than its age, as supposed by P.Dirac. On the other hand
G contains the quantity (R
/mt
), identical to the quantity known in astronomy, where m −
a mass of the central body with the motion of its satellites obeying the law (R
/t
). In the gravitation law this quantity characterizes the
growth of body-sink, and in astronomy it describes the law of motion of a
medium in the central body-sink: this will specify the condition of motion of
satellites. The sustained development of the Universe is governed by the law of
correspondence of rates of growth of body masses to rates of growth of
distances between centers of masses in the Universe.
When a
liquid (ether or “dark matter”–DM) flows into a body of a mass m
at a velocity C through the sink-bodies surfaces, its energy
made up of 1) energy of the DM having entered the body and 2) energy of interaction with another body
totals to E = m
C
. When the velocity of the compression wave in the DM is equal to C, the internal energy of
mass m
of liquid ether (DM)
is also equal to E = m
C
[4]. This also follows from Boyle’s law.
The
existence condition of a system of gravitating growing masses m
for an infinitely long time is determined by the low according
to which an expanding system remains to be similar to itself with time: v
= 3a
r/4 or a
/v
= (1/v
)(dv
/dt) = const and ((1/m
)dm
/dt) + (1/m
)dm
/dt))/2 = (dR/dt)/R = H
, where v
and a
are velocity and acceleration, respectively, of linear dimensions
of a body. This law of similarity conservation follows from Newton’s
gravitation law for stable system: F = – G m
(t) m
(t)/R
(t) = const. If gravitation is a current of DM into gravitating material
sink-bodies, the heavenly bodies are objects with growing masses m
. Constancy of the Universe during its existence requires
constancy of the gravitation power F between mass centers of its objects (dF/dt
= 0). Thus we have [6]:
.
(1)
From this we have
ln n /Kt 
= H
, (2)
H
– “Hubble constant”, n – multiple number of the mass growth
in time t, K
.
This is
realized under the observed divergence of heavenly bodies from one another. It
corresponds with "Hubble’s law" of the duplication of masses for ~100
million years. This corresponds to the observed growth of rock masses.
Simultaneously, radii of heavenly bodies grow. On the Earth’s surface this
growth corresponds to the known rate of continental displacements.
The
known astronomical constant (R
/mt
) or (R/m)×(R/t)
contains a mass m of the central body and law of motion of
its satellites (3-rd Kepler’s law). It points to condition of accommodation of
certain energy levels around the central body m: each value (R/m) correspond to
certain squares of velocity v
= (R/t)
of motion of ether to the central body. This defines the law
of the motion of planets. This points to the physical essence of the phenomena,
described by the “Bode-Titius’s law”.
Let us
suppose in this hydrodynamic space model a small object (being both the source
and sink of the liquid ether) is discussed and this object travels past a much
larger object. Then we see that the movement of the small object and the action
of the vortex (funnel-shaped) flow of the liquid ether into this object are
like the movement of the comet round the Sun and the action of the comet tail
during this movement [7].
So the known natural phenomena in the real world correspond to this
gravitation model and Law of the
sustained development of the Universe (law of geometric and energy resemblance)
(1), (2).
Gravitation is the accelerated motion of ether to gravitating bodies,
with the atomic nuclei being sinks of ether. Matter exists in two main states:
atomic nucleus with known density 
g/cm
and ether with density 
g/ cm
[5]. The latter coincides with density of interstellar
space. Flow of ether into the surface of nucleus at rate C defines internal
rest energy E
= m
C
for bodies with rest mass m
[8]. Value С is connected with "phase transition"
from state of DM to nuclear state.
The law of accelerated motion of liquid exactly defines the form of the law of
universal gravitation as we said before. Gravitation of macro-body (material
with density 
) is directly proportional to number of atomic nuclei in the
volume V of body, i.e. mass of body is (
V). Gravitation of atomic nucleus is directly proportional to
its surface, since the flow of ether into the atomic nucleus is realized
through its surface. It is the essence of nonequivalence gravitating and inert
masses on the micro-level. Under destructive processes with the escape of ether
this nonequivalence can reveal itself on macro-level.
With a gravitating body of rest mass m
considered as a sink of the ether (an ideal weakly
compressible liquid) and the gravity considered as an ether flow toward the
body, the body appears to move at the velocity v without frontal resistance, the ether being discharged to the
corresponding extent. This leads to
changing the mass according to m = m
(1 + v/C) with C being velocity at which the ether flows into
the body [9].
Now in an infinite three-measured Euclid space filled with an ideal
liquid two objects (two sorts of the waves) are considered: 1) the compression
wave traveling from the spherical liquid sink against the flow of the liquid;
2) a similar compression wave from a second sink of the liquid. The second sink
travels relatively to the first one, and swallows up more liquid of the
opposite flow than the first sink, so the condition of the absence of the
frontal resistance with the relating movement is accomplished. The compression
waves emitting from mobile and immobile bodies propagate at different
velocities because of different velocities of the liquid ether counter flow
toward the body but are described by absolutely identical classic equations
coincident, in both cases, with the Maxwell-Herz radiation equations which
describe geometrical factors of the vector field. The Maxwell and the
Maxwell-Herz equations system describe mutually perpendicular vectors at the
wave front. These Maxwell equations are invariable in Galilei transformations
and the Maxwell-Herz equations are invariable in other (non-relative)
transformations in the transition from an immobile system to a mobile one
[10]. Thus, the classic invariance is shown to exist not only for Maxwell’s
equations describing a wave from different systems of coordinates, but also for
the Maxwell-Herz equations that describe the waves emitting from a source
changing its own gravitation field when moving.
The idea on gravitation
as a movement of the continuous matter had been developed over many years by a
number of scientists independently of one another. First attempts to describe
mathematically the world’s model based on this idea, seemed to be made by
Gauss, Weber and Riemann (1853). Working secretly, Riemann was ahead of his
competitors but did not end the problem in success, for he made a principal
mistake because of his adherence to the Herbart and Fechner philosophy. The
Gauss and Weber investigations (and later Thompson) were also fruitless.
Yarkovskii (1889), who avoided Riemann’s mistake, proposed an extraordinary
concept of gravitation as a consequence of the formation of a weighty matter
inside bodies. By developing Yarkovskii’s idea, Butusov (1991) has received
some interesting results. He has shown that as the radiator mass increases in
vast radiating systems, a “red shift” is observed without any movement of the
light sources [11]. On the other hand, one
can hardly agree with his negation of the Universe expansion (in his treating),
for in the absence of recession the bodies with time should be approaching one
another with acceleration, as their masses grow. This was shown in 1991
(2-nd International Conf. in S-Petersburg) by the author who was ignorant
at the time of the existence of the above works. These results were
published before experimental finding the acceleration of the Universe
expansion.
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Рубцов Н.А., Лебедев В.А. Геометрические инварианты излучения. Новосибирск. – 1989. – 244 с.
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6. Lebedev V.A. Geometric and energetic
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a hydrodynamic space model // Problems of Space, Time, Gravitation. Series
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212-90.– СО АН СССР, Институт теплофизики. – Новосибирск. – 1990. – 28с.