Mathematical model of the Space
12. Gravitation
The research
problem of gravitational dynamics of real particles of substance is extremely
difficult. The purpose of our research is to find the basic parities of
gravitational interactions. Therefore for simplification we shall consider the
parities connecting power characteristics of a point of Space, taking place in
the field of gravitational interactions. As a matter of fact, are the parities
connecting gradients of considered sizes.
Expression of the
Constant of Planck (see 88) can be written down
ћ = Eћ Tλ = λmC = С Tλ С 4 / C Tλ = 4C (147)
Where
length of a wave λ =
С Tλ, the
characteristic of weight m = 4 / C Tλ, quantum of time
tћ =
Tλ/4.
From
here follows, that energy of a point is proportional to its acceleration
Eћ =
4C / Tλ
(148)
The
maximal value of density of M+ and M-
concerning a zero level in radiation of a particle, proportionally energy of
radiation (see. the chapter 2)
Eћ =
Pћ
(149)
Change of levels of
density of M+ and M- in Space under
influence of pulsations PUn has consequence change of a ratio of
quantity of the charges contained in volumes of particles and their quantum
fields. Thus the weight which level of density grows is absorbed, and the weight
which level of density is reduced is allocated. Transfer of M+ and
M- from a surface of bodies in internal volume also is
in the opposite direction carried out via units of elementary particles and
their electromagnetic waves. Therefore around of macro bodies there are radial
gravitational streams of M+ and M- of a
counter direction. The weight, which density grows, goes inside of a body, and
the weight of an opposite mark goes outside. So for example, electron absorbs
gravitational streams of M+ and M- an axial
field and throws out their radial field. The positron absorbs M+ and
M- of gravitational streams a radial field and throws
out their axial field. Generally zero levels of density of M+ and
M- are not equal, P0+ ≠
P0-. According to a zero level the size of
quantum of energy of radiation of a particle is proportional also.
Eћ± = Eћ P0±/ P0
(150)
The
gravitational component of quantum of energy of radiation thus is
equal
EћG± = Eћ± - Eћ = Eћ (P0±/ P0 –1)
(151)
Macro bodies in this
situation can be presented as negative volumetric charges of Vacuum, which
create a negative electric field, and the Space can be presented the positive
volumetric charge of Vacuum having the characteristics of a positive electric
field. Charges move towards through fields of a particle, and thus there is a
unbalanced force working on it which is proportional to the vector sum of
quantums of energy of radiation. The vector of this force coincides with a
direction of movement of more dense weight.
fG± = ΔEG = EG+
+ EG- =
Eћ│(
P0+- P0- ) /
Р0│
(152)
Taking into account,
that P0+ and P0- change
symmetrically be relative P0 and in an
antiphase,
fG± = 2
Eћ
P0± / P0
(153)
Potential of a
volumetric charge in point R of the universe (see 4)
P±R = ±1/R·Рmax cosωR/C
Speed of change of
potential of a charge
ƒ P±R(t) = d ±P±R / dt = ±1/R· (-Рmax sinωR/C)
(154)
Then
with the account (148) and (153) it is possible to write
down
fG± = 8С / RP0Tλ ·
Рmax
cosωR/C
(155)
For
moving particles which frequency is function of speed of movement, (155) will
become
fG± = 8Сν0(1 - v2/C2)
–2 /
RP0Tλ · Рmax cosωR/C
(156)
Action
of force fG± the free particle goes in a gravitational
field of the universe with acceleration
Gt
=
fG± / m = 8Сν0(1 - v2/C2)
–2 /
RP0Tλ (4ν0(1 - v2/C2)
–2 / C) ·
Рmax
cosωR/C =
= 2 C2 /
RP0 · Рmax
cosωR/C
(157)
It is
obvious, that gravitational acceleration does not depend on speed and a
direction of movement of a particle, and also from its weight. A
gravitational constant of the Universe
γUn = 2С2 / P0 (158)
Macro body has the
weight equal to the sum of weights of particles of its structural elements. The
body in weight of M can be presented as sum N of weights of the particles,
having everyone mav = 4/λ av
M = N mav
(159)
Or as
one particle which is located in the centre of weights of macro bodies, having
length of a wave
Λ = λ
av / N
(160)
Each particle of macro
bodies absorbs weight of M+ and gives weight of
M-, which move on spirals of waves towards each other
between points r0 on a surface of unit and R0 on border of
fields of the connected particle. As R0 > > r0,
distance by a spiral
L = 1/2 · 2πR0N = πR0N
(161)
But N =
R0 / λ,
therefore
L = πR02 / Λ = M πR02 /
4
(162)
The level of density
of M+ and M- in a point r0 in
view of gravitational streams of the body will be
P0М± = P0R± ± -LP0R± = (1 ± -L) P0R±
P0М± = (1 ± -M πR02 / 4)
/ R · Рmax
cosωR/C
(163)
On
distance r from a point r0 a level of density of M+ and
the M- will be
P0Мb± = (1 ± -M πR02 /
4r2) / R · Рmax
cosωR/C
(164)
Change
of a level of density of Vacuum in Space around of macro bodies in weight of the
M, caused by fields of its structural elements,
PM± = -M πR02 /
4Rr2 · Рmax
cosωR/C
(165)
The force creating
gravitational acceleration is proportional to change of density. Therefore
gravitational acceleration of an individual positive charge on distance r from
the centre of weights of macro bodies will be
gM = -M πR02 / 4Rr2 ·
Рmax
cosωR/C
(166)
Acceleration N of charges will have the same size, as their total
weight in N times more.
Force from which the
body in weight М1 operates on the body in weight М2 which
is taking place on distance r,
f1-2 = g1 М2 = -М1 М2, πR02 /
4Rr2 · Рmax
cosωR/C
(167)
Force from which the
body in weight М2 operates on the body in weight М1 which
is taking place on distance r,
f2-1 = g2 М1 = -М2 М1, πR02 /
4Rr2 · Рmax
cosωR/C
(168)
Gravitational
"constant" of substance in a general view
γt =
-πR02 / 4R · Рmax cosωR/C
(169)
For short time
intervals change of the gravitational "constant" caused by waves of scale of the
universe, it is possible to not take into account. Then expression of the
Gravitational constant will become
γ
= -πR02
/ 4
(170)
Where
R0 - radius of fields of the connected elementary
particles.
In absolute system of
coordinates of the universe the Absolute Gravitational constant of
substance can be expressed (see 2)
γАt =
±1/R · γUn γ
Рmax
cosω (t1 - R/C) = ±1/R · 2С2 / P0
· (-πR02 / 4) Рmax cosω (t1 - R/C)
γАt =
±(- πС2R02 ) /
2RP0 · Рmax
cosω (t1 - R/C)
(171)
For
short time intervals during growth of density of a positive phase of Vacuum,
which comes nearer to amplitude, the Absolute Gravitational constant of
substance will become
γА = - πС2R02 / 2R
(172)
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