
A paper from the XVIII International Scientific Symposium “REORGANIZATION OF NATURAL SCIENCES AND ENERGETICS”2009 (V.N. Shikhirin, Chairman of Organizing Committee), specially reworked for the 6the International ScientificPractical Conference “Tore Technologies”, Irkutsk State University, 29 October, 2009.
THE
STRUCTURIZATION ENERGY AND INFORMATION AS A TECHNOLOGY OF NATTER
EXISTENCE IN NATURE Valeriy Shikhirin ELASTONEERING INC, Independent Scientist and Inventor
“This
paper was written “at one go”, therefore it may contain minor
noncritical errors, easily correctable and described with
respective comments in future deliverables of the author”.
"I must furnish those, who would protect or
save life, with an energy This is the task I have set myself in what little life I have left." Viktor Schauberger
“There
are no indivisible things and quantities, and no approximations
in Nature. Only Arithmetic and Geometry “work” in it”.
Vyacheslav Kasatkin
This paper actually continues the subject set forth in [1],
providing more details on functionality of the VTortex as the
superior and independent form of fluid medium existence in
Nature.
In terms of space dimensionality, the sevendimensional (7D)
VTortex ranks the top in the priority order.
The dimensionality of space is determined by the number of
“colors” being the bases of a tight pack of polyhedrons any
object or figure consists of. The number of the “colors” should such that identical colors do not have common boundaries. It should be known (remembered) that along with the object surface structuring function, “colors” make the bases of toral, spherical, the Mobius Band, the Klein Bottle and other polyhedrons (Shikhirin Cells^{1,2,3,4,5,6,7}) that make the body of an object.
Moreover, the author believes that in every tight polyhedron
pack any torus, sphere, the Mobius Band, the Klein Bottle, etc.,
consists of, all its faces base are of the same color as its
base, have common boundaries and there are never two identical
colors.
Totally, there are 7 independent figures that have a
onedimensional, twodimensional, … sevendimensional space, and
they are represented by Shikhirin Cells^{1,2,3,4,5,6,7}
[2,3] (Fig.1). The whole picture looks as follows: · “7color map” is a map “put on” a torus that represents a 7 dimensional (7D) natural space. This is a VTortex of mega, macro, micro and nanoworlds such as a galaxy, a tornado, an atom, etc.; · “6color map” is a map “put on” the Mobius Band, the Klein Bottle or a projection plane representing 6dimensional (6D) natural spaces. These are systems little known so far but existing in Nature; · “5color map” is a map “put on” a torus that represents a 5dimensional (5D) natural space. These are also systems little known at present but existing in Nature; · “4color map” is a map “put on” a sphere that represents Fuller’s 4dimensional (4D) natural space (a sphere, see [4] for details). This space houses the forms of fluid medium existence; it is where we all live. This is the space of the Universe; · “3color map” is a map “put on” a plane that represents 3dimensional (3D) natural space. This is a surface; · “ 2color map” is a map “put on” a line representing a 2dimensional (2D) space. This is a line; · “1color map” is a map “put on” a point representing 1dimensional (1D) space. This is a point.
All the above figures interact through a common working fluid medium, the Aether (see [4] for details), through a socalled “nested dolls” effect.
Fig. 1. Forms of working fluid medium existence in Nature represented by Shikhirin Cells^{1,2,3,4,5,6,7}. All figures (Shikhirin Cells^{1,2,3,4,5,6,7}) can exist inside one another (Fig. 2). For instance, The intersection of 4 dodecahedrons (4D) is a tetrahedron (4D) in which VTortex galaxies (7D) are grouped that have stellar systems (3D) located at junctions of 3 honeycomb cells/colors (4D). A planet or a star (4D), e.g. Earth, may include an atmosphere (7D), tornadoes (7D), vegetable and animal worlds (7D, 6D, 5D, 4D, 3D, 2D and 1D) up to the nanoworld (an atom, 7D) and less.
Fig. 2. An example
showing figures of different dimensionality coexisting in
Nature.
Structurization
information
The
Structurization Information,
I_{S}, is the universal basis for all
information.
Like the Structurization Energy, the Structurization
Information, I_{S}, has five independent levels
transformed into each other (Fig. 3), namely: I_{foam4},
I_{bundle4}, I_{foam/}_{VÒortex},
I_{CoutteShikhirin
flow }and I_{V}_{Òortex}
(I_{bundle7} and I_{foam7})
[3,4].
Fig.
3.
Types
of
working
fluid
medium
in
Nature.
I_{CoutteShikhirin flow}
and I_{V}_{Òortex}
(I_{bundle7} and I_{foam7}) are not shown.
Digits 4 and 7 designate the space dimensionality, i.e. 4D and
7D, respectively. Clear areas in polyhedral foam specially
“backlit” (highlighted) by the author for picture shooting are
mainly pentagons, i.e. faces of dodecahedrons.
In [2, 5, 6] the author shows that all energy exchange processes that involve the Structurization Energy are automatically followed by their “mathematical environment” being their integral part constantly selfadapted and instantly “appearing” and “disappearing” like a phase transfer.
Given below are some conclusions from these and new investigations:
 The area
ratio between a closed torus and a sphere inscribed therein is
the first and the foremost natural ratio, namely “PiGoldenest
Ratio”, which is the source of
Pi_{Sphere}
and Pi_{Torus},
and consequently, of the
φ
Golden Ratio
(Fig. 4).
According
to its natural hierarchy the
Phi
Golden Ratio is a
special case or a derivative of a set of concurrently
interacting Pi_{Sphere}
and
Pi_{Torus}
in a sphere inscribed into a torus.
 The
“direct”
Phi
Golden Ratio is
absent in a torus, a sphere, the Mobius band, projection plane
and their elements – Shikhirin cells^{4,6,7} – that
constitute their volumes.

The
“direct”
Phi
Golden Ratio
or/and its elements are present only in “noncircular” (without
Pi) linear, areal
and bulk bodies, e.g. Plato or/and Archimedes bodies, their
variations or their packages inscribed into a sphere or
circumscribed by it; in other words, it “is responsible” only
for “faceted” linear, flat and bulk bodies.
Linear dimensions of polyhedron elements expressed
through angular parameters, i.e. through
Pi, cannot be
considered a “direct Pi
effect”.
 Pi
è
Phi
are mutually exclusive “constants” that cannot coexist. By a
hierarchic level Pi
is higher than Phi.

In “foam^{4}”,
consisting of a tight pack of dodecahedrons or their variations
having the “golden ratio”, the
Pi_{Sphere}
is present explicitly only in spheres accompanying polyhedrons.
Linear dimensions of polyhedron elements expressed through
angular parameters, i.e. through
Pi, cannot be
considered a “direct
Pi effect”.
 In foam^{7},
consisting of a tight pack of Shikhirin cells^{7} where
the “golden ratio” in its direct sense is absent, the
Pi_{Torus}
is explicitly present only in tori that accompany polyhedrons^{7},
while Pi_{Sphere}
and
Pi_{Torus }
are directly present in Shikhirin cells^{7}.

Pi_{Sphere}
and
Pi_{Torus}
that are present in common formulas simultaneously with
Phi, e.g. in
calculations of flat “golden”, “sacred” and other triangle
elements, are not a result of their direct joining. That is,
their parameters are only expressed through them, being absent
in real parameters of natural “golden” objects.
 A sphere
inscribed into a torus produces a set of “flat” triangles having
a certain physical purpose, i.e. generation of “numbers”
√2, √3,
√5,
√7,
√10
and their combinations;
1, 2, 3, 4 ;
regular and irregular fractions; the
Phi golden ratio
and its derivatives; seven “colors” as well as a tight pack of
Shikhirin cells^{7} representing a torus, etc.
(Fig.
4).

The torus formation is
automatically followed by formation of a family of torus double
knots (Torus Double Knots
Family)
(Table 1) involved in structuring of the surface of
selfsupported VTortexes as “genetic” codes of elements of
mega, macro, micro and nanoworlds such as a galaxy, a
tornado, a small comet, a ball lightning, an atom, etc.
 A
“functioning” VTortex torus, besides
Pi_{Sphere}
and Pi_{Torus},
has also “knot Pi’s”, or “Pi_{Knot}”
(a knot bundle^{7})
 Every
thread of a “flow bundle^{4}” as well as of a “vortex
bundle^{7}” has its own
Pi, etc.

A surface is
structured with at least seven hexahedral (honeycomb cells)
“colors”. The general picture of structurization, namely the
picture of torus double knots structuring the surfaces of
selfsupported VTortexes as
“genetic” codes of elements of mega, macro, micro and
nanoworlds such as a galaxy, a tornado, a small comet, a ball
lightning, an atom, etc., is shown in Table 1 below and in
http://youtube.com/user/elastoneering, part 4.
 “Colors” honeycomb cells  make the bases
of at least seven Shikhirin^{7} Cells involved into
VTortex body structuring. The
Shikhirin
Cells^{7} Family quantitatively matches the
Torus Double Knots Family, see
http://youtube.com/user/elastoneering,
part 6.  A
Shikhirin Cell^{7} is the 35th natural heptahedron
(6, 4, 4, 4, 4, 3, 3) in the system of topologically distinct
artificial heptahedrons [7,
http://en.wikipedia.org/wiki/Heptahedron].
At
the same time the Shikhirin^{7} Cell is a toric
heptahedron in which the hexahedral honeycomb cell base is equal
to one seventh of the torus surface while the other toric faces
have a special surface (Fig. 5).
http://youtube.com/user/elastoneering,
part
6.  The VTortex is the source of:
·
formation of a
family of logarithmic spirals
as torus knot lines
(Table 1).
Only logarithmic
spirals
with different
parameters (Fig. 6) can be flat projections of a closed torus
(top view) knotted by torus double knots, particularly by the
(2.3) torus knot.
http://youtube.com/user/elastoneering, part 7.
·
the toric,
spherical and knot Pi (Fig. 3), see [5, 6] for details; · the Global Natural Toroidal Phyllotaxis Process. The Phyllotaxis Process is developed in consistency with the cylindrical preform of the torus, (http://youtube.com/user/elastoneering, part 8, · Phi (1,618...), 1/Phi (0,618...), «numbers» 1, 2, 3, 4, ..., √2,√3, √5, √7,√10, …, Fibonacci numbers, etc. only in flat crosssections, with the VTortex knotted by the torus (2.3) knot only (Fig. 7). Fibonacci numbers are produced with respect to the structure of the torus cylindrical perform, (http://youtube.com/user/elastoneering, part 8;  The so called “Golden Spiral” is also related to the logarithmic spiral but it does not take part in natural processes since it is artificially inscribed into the system of “golden” triangles (Fig. 7). The top view of the (2.3) knot line has one full 360^{o} turn whereas the full turn of the Golden Spiral is more than 360^{0}, approximately 375^{0}. The Golden Spiral “works” only on 3D plane.
Fig. 5. The structure of the Shikhirin Cell^{7} or Natural Heptahedron (6,4,4,4,4,3,3) as 1/7^{th} of a torus, which is shown as “1/7^{th}” part of the torus cylindrical perform.
Fig.6. Examples of logarithmic spirals as “flat” projections of torus knot lines. The tori shown in the first three columns are “transparent”.
Fig. 7. The “Golden Spiral” and the torus (2.3) knot spiral (line) in projection.
The Structurization energy:
A VTortex generates the following energy
fields, see [1] for details:  F_{Po,To}  Overpressure, Ð_{î} , and temperature, Ò_{î}, field;  F_{P,T}  Vacuum, P^{} , and temperature, Ò^{ } (torus head), field;  F_{P+,T+}  High pressure, P^{+} , and temperature, Ò^{ } (torus tail), field;  F_{Å}  Electric (static) field, Å^{+} (torus tail) and Å^{ }(torus head);  F_{Ì}  Magnetic field, Ì^{+} (torus tail) and Ì^{ }(torus head);

F_{Tr}
 Torsion field,
Ò^{+}(torus
tail) and Ò^{
}(torus head), etc.
Table 1
Torus Double Knots Family
1st level
2nd level
What makes the Basis of Alchemy (of which Chemistry is only a small part) or the infinite periodic table, is, in my opinion, only a part of selfsupported VTortexes knotted by Family Torus Knots 2({n_{p} + [(n_{p} – 1)/2]} ; 3n_{q}), 2(2{n_{p} + [(n_{p} – 1)/2]}_{ }; 3n_{q}) and 2(3n_{p }; {n_{q} + [(n_{q} – 1)/2]}), of which (1.3),(2.3), (3.1) (Fig. 8) are the simplest or the primary knots. Family Torus Knots may enter into a plurality of combinations (options), for instance, 2(7;36), 2(10;21) and 2(36;22).
Fig. 8. Basic torus (1.3),(2.3), (3.1) knots
and torusknotbased systems, such as a galaxy (3.2), a tornado
(3.5) , etc., known in Nature and engineering
Torus
“snapshots” (Figs. 4, 68) were made by Nikolay Shikhirin from
his own animations shown in
http://youtube.com/user/elastoneering, parts 35,7,8.
References:
1.
Valeriy Shikhirin.
VTortex, or the “Life Cell”, as the SelfSupported Superior Form
of Fluid Medium Existence in Nature of Mega, Macro, Micro and
Nanoworlds.
“REORGANIZATION
OF NATURAL SCIENCE AND ENERGETICS”2009.
XVIIIth International Scientific Symposium, S. Petersburg,
Russia, 2830 April, 2009,
www.alttech.org,
www.evgars.com
2.
V. Shikhirin. VTortex^{ÒÌ} as
Superior Form of Fluid Medium Structurization in Nature.
Proceedings of 3rd International Scientific&Practical
Conference “Tore Technologies”,
2324 Nov., 2006, Irkutsk State Technical University, pp.
158179,
www.alttech.org,
www.evgars.com.
3. V. Shikhirin. Synergetics of Atmosphere and Tornado as Natural SelfSupported Torus Mechanisms. Proceedings of 5th International ScientificPractical Conference “Tore Technologies”, 2334 Oct., 2008, Irkutsk State Technical University, pp. 5487, www.alttech.org, www.evgars.com 4. V. Shikhirun. Synergetics of the Universe as a Natural SelfSupported Mechanism. First Approximation. Proceedings of 5th International ScientificPractical Conference “Tore Technologies”, 2324 Oct., 2008, Irkutsk State Technical University, pp.2254, www.alttech.org, www.evgars.com. 5. V. Shikhirin. The Torus and Sphere, or Parents of PI, Phi and “7”, as Elements of Matter Structurization in Nature. Proceedings of 3rd International ScientificPractical Conference “Tore Technologies”, 2324 Nov., 2006, Irkutsk State Technical University, pp. 131143, www.alttech.org, www.evgars.com.
6. V. Shikhirin. Natural “Elements” of
Information and Energy as the Basis for XXI Century Engineering.
Structurization Energy
and Information. Proceedings of the 4th Research &
Engineering Conference “Machine Building in XXI Century.
Science, Education and Production Integration”. May, 2007.
Izhevsk State Technical University,
www.evgars.com,
www.alttech.org.
7. http://en.wikipedia.org/wiki/Heptahedron.

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