Physical vacuum as crystal-like planck plasma
The paper for the first time expresses the idea of physical plasma-like vacuum, possessing a crystal-like structure at
 Planck distances. On the basis it has been proposed a new mechanism to confine similarly charged particles in dust
 plasma. The arguments that by means of such an a...
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| Date: | 2009 |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2009
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| Cite this: | Physical vacuum as crystal-like planck plasma / M.V. Maksyuta, Ye.V. Martysh
 // Вопросы атомной науки и техники. — 2009. — № 1. — С. 89-91. — Бібліогр.: 10 назв. — англ. |
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| author | Maksyuta, M.V. Martysh, Ye.V. |
| author_facet | Maksyuta, M.V. Martysh, Ye.V. |
| citation_txt | Physical vacuum as crystal-like planck plasma / M.V. Maksyuta, Ye.V. Martysh
 // Вопросы атомной науки и техники. — 2009. — № 1. — С. 89-91. — Бібліогр.: 10 назв. — англ. |
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| description | The paper for the first time expresses the idea of physical plasma-like vacuum, possessing a crystal-like structure at
Planck distances. On the basis it has been proposed a new mechanism to confine similarly charged particles in dust
plasma. The arguments that by means of such an approach one may explain the nature of a “dark matter” are given. A
new idea concerning a construction of a fusion reactor is stated as well.
Вперше висловлюється ідея, що фізичний вакуум можна вважати плазмою, яка на планківських відстанях
має кристалоподібну структуру. На основі цього пропонується новий механізм, що дозволяє утримувати
однойменно заряджені частинки в запорошеній плазмі. Наводяться аргументи, що за допомогою такого підходу
можливо пояснити природу “темної матерії”. Висловлюється також нова ідея відносно конструкції
термоядерного реактора.
Впервые высказывается идея, что физический вакуум можно считать плазмой, которая на планковских
расстояниях имеет кристаллоподобную структуру. На основании этого предлагается новый механизм, который
позволяет удерживать одноименно заряженные частицы в пылевой плазме. Приводятся аргументы, что с
помощью такого подхода возможно объяснить природу “темной материи”. Высказывается также новая идея
относительно конструкции термоядерного реактора.
|
| first_indexed | 2025-12-07T16:37:03Z |
| format | Article |
| fulltext |
PHYSICAL VACUUM AS CRYSTAL-LIKE PLANCK PLASMA
M.V. Maksyuta, Ye.V. Martysh
Taras Shevchenko National University of Kiev, Radio Physics Department, Kiev, Ukraine
The paper for the first time expresses the idea of physical plasma-like vacuum, possessing a crystal-like structure at
Planck distances. On the basis it has been proposed a new mechanism to confine similarly charged particles in dust
plasma. The arguments that by means of such an approach one may explain the nature of a “dark matter” are given. A
new idea concerning a construction of a fusion reactor is stated as well.
PACS: 52.27.Lw,98.89.-k
1. CURL MECHANISM
OF THE CONFINEMENT OF CHARGED
PARTICLES IN A DUST PLASMA
In [1], assuming a crystal-like structure of a physical
vacuum at Planck distances, an accent has been put on a
tight relation between physics of solid state and physics of
elementary particles. Carrying on the study of physical
vacuum structure as one of the main forms of the matter,
it has been proposed in [2] a model of a crystal-like
vacuum of NaCl type. In the frame of such a model we
succeed, for example, in the explanation of the physical
nature of electric charges, in the calculation of leptons
mass spectrum, in the building of the Universe fractal
model. Since energy knotted strings (masses) are the
knots of such a crystal-like space in the model, which
could be right- and left-hand n – foils and which
correspond to positive and negative charges, one may
draw a parallel between such physical vacuum and
plasma. It means that, from one side, physical vacuum
may be treated as a crystal-like Planck plasma, and from
the other side, such a comparison becomes especially
actual in terms of periodic plasma structures appearance
(so-called dust plasma (see, for example, [3-7])), the
nature of the forces holding negatively (positively)
charged formations is not yet completely understood.
In the given work one try to explain these forces on a
phenomenological level on the basis of dissipative-less
curl structure appearance having toroidal symmetry, since
a surface tore is Zeifert surface for such knotted strings
(see [8]). Analogous to the calculations in [9] in the cases
of non-stationary hydrodynamic curls displaying in
various open systems, one may carry out analytic
calculations also in the cases of crystal-like physical
vacuum and dust plasma by means of Navier-Stokes
equation and continuity equation for toroidal motion of
viscous incompressible matter in a toroidal coordinates
( )φψ ,,r , which are connected with the coordinates
( )zyx ,, as follows:
( ) ( ) ψ=φψ+=φψ+= sin,sincos,coscos rzrdyrdx . (1)
Now accounting (1), let’s write down Navier-Stokes
equation in toroidal coordinates system taking into
account, first, that in the basis of the task symmetry v
velocity doesn’t depend on φ angle and, second, taking
into account the circulation of plasma ion flows on the
fixed distance, ar = (see Fig.1).
ψ∂
∂ψ−
ψ∂
∂ν=
ψ∂
∂+
∂
∂ ψ rrrr vv
a
v
a
v
t
v tg2
2
2 , (2)
ψ∂
∂
ψ−
ψ∂
∂ν+
ψ∂
∂
ρ
−=
ψ∂
∂
+
∂
∂ ψψψψψ vv
a
p
a
v
a
v
t
v
tg1
2
2
2 , (3)
ψ∂
∂
ψ−
ψ∂
∂ν=
ψ∂
∂
+
∂
∂ φφφψφ vv
a
v
a
v
t
v
tg2
2
2 , (4)
where rv , ψv і φv are the components of ion flow
velocity according along the orts re , ψe , φe of toroidal
coordinates system, p , ρ - plasma pressure and density,
ν - the coefficient of kinematics plasma viscosity. Here
the pressure is only in the equation (3), since from the
point of view of symmetry it is only the function of the
angle ψ , and const=ρ . As it is seen from (2) – (4), the
additions that describe the viscosity effects disappear at
the following means of velocities rv , ψv , φv :
2
1
,, sin1
sin1ln
2
ccvr +
ψ−
ψ+=φψ , (5)
where the constants 1ñ , 2ñ are given by plasma
parameters. The formula (5) shows that in the case of
incompressible plasma the velocity profile of ion flow in
a fixed distance ar = from toroidal coordinates system
centre is that all the components are similarly dependent
on the angle ψ , i.e. their immediate meanings are equal
to each other. Assume now that ion circulation takes place
along a knot curve ( n - foil), which parametric equations
are got when substitute
( ) φ+=ψ 21n , (6)
in (1), where π≤φ≤π− 22 , n - a natural number.
Substituting further (5) in (6) and making an averaging by
the angle φ , we get 2,, cvr =φψ . Besides the equations
(2), (4) and the continuity equation 0div =v are satisfied
automatically аnd the equation (3) is the equation to find
an immediate meaning of the pressure which must be
averaged by the angle φ as well.
PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY. 2009. № 1. 89
Series: Plasma Physics (15), p. 89-91.
Fig. 1. Schematic representation of a curl ion flow
around a charged particle in a crystal cell of a dust
plasma
The result was expected for as the analogous situation
appears in a crystal-like space-time as well. Really as it
follows from Breit formula
kk cx α= , (7)
where ñ - a light velocity, kα - Dirac matrice, all the three
components of a free electron velocity are equal to a light
velocity in vacuum (see, for example, [10]). Тhus, from
one side, one can affirm that the matter circulation in
Planck plasma of a space-time which causes an electron
motion, is by knotted strings, and from the other side, we
may be more confirmed to assume that the forces confining
charged particles in dust plasma have curl nature.
2. ON A CURL NATURE
OF A “DARK MATTER”
Note that by means of such a mechanism one may
explain as well the existence of a dark matter as one of
vacuum forms of the matter (see [2]). One may notice a
tight relation between the nature of a dark matter and dust
plasma nature generation, since both the first and the
second systems discrete elements of the same type are
confined at the expense of circular flows of energy (the
flows of the similar knotted strings are oriented in such a
way that they are one-side directed in the inter-knotted
space). It has been illustrated in Fig. 2, where cubic
crystallographic structures of two possible vacuum forms
of the matter are shown schematically. Besides,
crystallographic plane (100) of the “dark matter” vacuum
is depicted in Fig. 2a, where similar grey color of the
circles symbolizes inner structures model (for example,
they may be n -foils) of discrete elements of this form of
the matter and arrows show the orientation of circular
flows of energy along these structure elements. It is
evident that such an orientation of energy the circular
flows in neighboring regions causes their junction that,
means first, similar structure elements attraction, and,
second, explains the existence of maximum possible
Planck density of the “dark matter” mass
5 2 93 33 4 10p c G g cmρ π= ≈h .
a b
Fig.2. Schematic representation of crystal cells of two
vacuum forms of the matter
It is necessary to notice that in the case of a usual
physical vacuum of our space which may be represented
as peculiar Planck plasma just the opposite situation takes
place. Structural elements now are different but similarly
circulating which leads to a complete compensation of the
energy in neighboring regions (see Fig. 2b), i.e. mean
density of a physical vacuum rigidly equals zero.
3. THE CONSTRUCTION OF A FUSION
REACTOR BEING A KNOTTED TORUS
On the basis of above mentioned on the eristic level
there appears the idea that charged ions flows will be in a
stable regime if idea they move by knotted trajectories
(for example by trefoils). Besides, magnetic power lines
generated by these currents are knotted curves are also
symmetric and at the same time link with current curves.
Thus, one may propose, in author’s opinion, new (unlike
stellarators and tokamaks of various types) constructions
of fusion reactors on the basis of links and knots
geometry utilization. For example, torus knotted and
linked as trefoil might be such a construction. In Fig. 3,
for visual, current line is represented schematically in
such a knotted torus.
Fig. 3. Schematic representation of one of current lines in
a knotted fusion reactor
It is necessary to notice that one might make some
previous predictions concerning plasma behavior in such
a knotted reactor, first, one may expect plasma
polarization reduction, second, plasma oscillations may
give less influence, and third, Lowson parameter could be
easier achieved in such a symmetric system.
90
One may propose more exotic geometries of fusion
reactors. For example, there may be two knotted and at
the same time linked similar tubes This will lead to such a
regime when plasma in one channel will influence plasma
in another channel and vice versa. One may say that
plasma confines plasma.
4. CONCLUSIONS
Thus, the assumption that physical vacuum of our
space is a crystal-like Planck plasma allowed on the basis
of some analogies and by means of simple calculations to
explain the forces that confine charged dust particles in
dust plasma.
The same assumption allows to make the hypothesis
on the existence of so-called dust crystal-like “dark
matter” with a non-compensated mass density on the
background of a compensated plasma of physical
vacuum.
And at last, the hypothesis about the existence of
knotted flows of energy at Planck distances and the
models built on the basis of curl ion flows in usual plasma
lead to such constructions of fusion reactors where
plasma has to move along knotted trajectories.
Thus the consideration of quite different phenomena
under the same title became possible because all they are
connected by toroidal symmetry of the matter knotted
flows.
REFERENCES
1. P.I. Fomin. On crystal-like structure of a physical
vacuum at Planck distances. The problems of physical
kinetics and physics of solid body: Sci. Proc./ Ed. by
A.G. Sitechko. Ac. of Sciences of USSR. Kiev, Inst. of
Theor. Physics, 1990 (in Ukraine).
2. M.V. Maksyuta. Physical vacuum fractality// Visn. of
Kyiv Univ. Series: Radiophysics and Electronics. 2005,
N8, p. 32-36 (in Ukraine).
3. V.N. Tsytovich. Dust plasma crystals, drops, and
clouds// UFN. 1997, v. 167, N1, p. 57-99 (in Russian).
4. A.P. Nefedov, O.F. Petrov, V.E. Fortov.
Quasicrystalline structures in strongly coupled dust
plasma// UFN. 1997, v. 167, N11, p. 1215-1226 (in
Russian).
5. S. Nunomura, N. Ohno, S. Takamura. Confinement
and structure of electrostatically coupled dust clouds in a
direct current plasma-sheath// Physics of plasmas. 1998,
v. 5, N10, p. 3517-3523.
6. S. Nunomura, T. Misawa, N. Ohno and S. Takamura.
Instability of dust particles in a coulomb crystal due to
delayed charging// Physical review letters. 1999, v. 83,
N10, p. 1970-1999.
7. B.E. Fortov, A.G. Khrapak, S.A. Khrapak,
V.I. Molotkov, O.F. Petrov. Dust plasma// UFN. 2004, v.
174, N5, p. 495-544 (in Russian).
8. V.O. Manturov. Theory of knots: Regular and Chaotic
dynamics. Moscow-Izhevsk: NITS, 2005 (in Russian).
9. E.A. Pashitskii, V.N. Mal’nev, R.A. Naryshkin,
D.V. Anchishkin, V.G. Bar’yakhtar, Yu.I. Gorobets,
O.Yu. Gorobets. Non-stationary hydrodynamic vortices in
open systems// UFZh. 2005, v. 2, N1, p. 35-72 (in
Ukraine).
10. A.N. Vyaltsev. Discrete space-time. Мoscow: “Мir”,
1965 (In Russian).
Article received 10.10.08
ФИЗИЧЕСКИЙ ВАКУУМ КАК КРИСТАЛЛОПОДОБНАЯ ПЛАНКОВСКАЯ ПЛАЗМА
Н.В. Максюта, Е.В. Мартыш
Впервые высказывается идея, что физический вакуум можно считать плазмой, которая на планковских
расстояниях имеет кристаллоподобную структуру. На основании этого предлагается новый механизм, который
позволяет удерживать одноименно заряженные частицы в пылевой плазме. Приводятся аргументы, что с
помощью такого подхода возможно объяснить природу “темной материи”. Высказывается также новая идея
относительно конструкции термоядерного реактора.
ФІЗИЧНИЙ ВАКУУМ ЯК КРИСТАЛОПОДІБНА ПЛАНКІВСЬКА ПЛАЗМА
М.В. Максюта, Є.В. Мартиш
Вперше висловлюється ідея, що фізичний вакуум можна вважати плазмою, яка на планківських відстанях
має кристалоподібну структуру. На основі цього пропонується новий механізм, що дозволяє утримувати
однойменно заряджені частинки в запорошеній плазмі. Наводяться аргументи, що за допомогою такого підходу
можливо пояснити природу “темної матерії”. Висловлюється також нова ідея відносно конструкції
термоядерного реактора.
91
|
| id | nasplib_isofts_kiev_ua-123456789-88233 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-07T16:37:03Z |
| publishDate | 2009 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | Maksyuta, M.V. Martysh, Ye.V. 2015-11-10T21:10:22Z 2015-11-10T21:10:22Z 2009 Physical vacuum as crystal-like planck plasma / M.V. Maksyuta, Ye.V. Martysh
 // Вопросы атомной науки и техники. — 2009. — № 1. — С. 89-91. — Бібліогр.: 10 назв. — англ. 1562-6016 PACS: 52.27.Lw,98.89.-k https://nasplib.isofts.kiev.ua/handle/123456789/88233 The paper for the first time expresses the idea of physical plasma-like vacuum, possessing a crystal-like structure at
 Planck distances. On the basis it has been proposed a new mechanism to confine similarly charged particles in dust
 plasma. The arguments that by means of such an approach one may explain the nature of a “dark matter” are given. A
 new idea concerning a construction of a fusion reactor is stated as well. Вперше висловлюється ідея, що фізичний вакуум можна вважати плазмою, яка на планківських відстанях
 має кристалоподібну структуру. На основі цього пропонується новий механізм, що дозволяє утримувати
 однойменно заряджені частинки в запорошеній плазмі. Наводяться аргументи, що за допомогою такого підходу
 можливо пояснити природу “темної матерії”. Висловлюється також нова ідея відносно конструкції
 термоядерного реактора. Впервые высказывается идея, что физический вакуум можно считать плазмой, которая на планковских
 расстояниях имеет кристаллоподобную структуру. На основании этого предлагается новый механизм, который
 позволяет удерживать одноименно заряженные частицы в пылевой плазме. Приводятся аргументы, что с
 помощью такого подхода возможно объяснить природу “темной материи”. Высказывается также новая идея
 относительно конструкции термоядерного реактора. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Космическая плазма Physical vacuum as crystal-like planck plasma Фізичний вакуум як кристалоподібна планківська плазма Физический вакуум как кристаллоподобная планковская плазма Article published earlier |
| spellingShingle | Physical vacuum as crystal-like planck plasma Maksyuta, M.V. Martysh, Ye.V. Космическая плазма |
| title | Physical vacuum as crystal-like planck plasma |
| title_alt | Фізичний вакуум як кристалоподібна планківська плазма Физический вакуум как кристаллоподобная планковская плазма |
| title_full | Physical vacuum as crystal-like planck plasma |
| title_fullStr | Physical vacuum as crystal-like planck plasma |
| title_full_unstemmed | Physical vacuum as crystal-like planck plasma |
| title_short | Physical vacuum as crystal-like planck plasma |
| title_sort | physical vacuum as crystal-like planck plasma |
| topic | Космическая плазма |
| topic_facet | Космическая плазма |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/88233 |
| work_keys_str_mv | AT maksyutamv physicalvacuumascrystallikeplanckplasma AT martyshyev physicalvacuumascrystallikeplanckplasma AT maksyutamv fízičniivakuumâkkristalopodíbnaplankívsʹkaplazma AT martyshyev fízičniivakuumâkkristalopodíbnaplankívsʹkaplazma AT maksyutamv fizičeskiivakuumkakkristallopodobnaâplankovskaâplazma AT martyshyev fizičeskiivakuumkakkristallopodobnaâplankovskaâplazma |