Theory of infinite hierarchical nesting of matter
(or theory infinite self-similar nesting of matter) — as opposed to atomism,
alternative philosophical, physical and cosmological theory. This theory is
based on inductive logic conclusions about the structure of the observed
infinite universe. Metaphysical school, studying this theory, focuses on the
fundamental organizational principles of nature and initially called the
concept Discrete Fractal Paradigm, and then Discrete Self-Similar
Cosmological Paradigm .
Contents
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Basic elements of the theory
The Discrete Self-Similar
Cosmological Paradigm focuses on nature’s fundamental organizational principles
and symmetries. It emphasizes nature’s hierarchical organization of systems
from the smallest observable subatomic particles to the largest observable
superclusters of galaxies. The new paradigm also highlights the fact that
nature’s global hierarchy is highly stratified into discrete Scales, of which
we can currently observe the Atomic, Stellar and Galactic Scales. A third
important principle of the paradigm is that the cosmological Scales are
rigorously self-similar, such that for each class of objects or phenomena on a
given Scale there is analogous class of objects or phenomenon every other
cosmological Scale. The self-similar analogues from different Scales have
rigorously analogous morphologies, kinematics and dynamics. [1]
From the physical point of view the similarity relations lead to similarity of
matter levels and SPΦ-symmetry, which asserts the invariance of physical laws
operating on different levels of matter.
- In
the given theory there are no elementary particles of matter (see preon,
parton, electron, quark, Action/Reaction_Theory); substance is infinitely
divisible, as opposed to the theory of atomism, which assumes the
existence of minimal units of the matter.
- The
Universe consists of an infinite number of enclosed levels of matter with
characteristics similar to each other. This leads to the similarity of
cosmic systems, including the similarity of shapes, sizes, masses, rates
of processes and equations of motion.
- Each
level of the matter includes carriers with the certain spectrum of the
sizes and masses. The matter is organized itself in stable conditions
under the influence of fundamental forces and interactions of objects of
different systems.
- Allocation
of cosmic objects on the levels of matter that are the stepping stones of
the infinite hierarchy of cosmic systems, is based on geometric progression.
- The
course of time in terms of rate of occurrence of similar events is much
faster at a microlevel and more slowly at a macrolevel.
- Each
sort of "elementary" particles (electrons, nucleons, etc.) does
not consist from strictly identical on mass and the size of particles.
- The
Universe is eternal, thus carriers of the matter constantly are born and
then are transformed to carriers of the same and-or other levels. That the
theory falls outside the limits not only atomism, but also the Big Bang
which limiting history of the Universe by the moment of its creation.
- Space-time
determined by the structure of the matter. Time in the given theory –
independent coordinate from space, also is derivative of speed of movement
and development of the matter. In science widely used four-dimensional
space-time, consisting of three spatial dimensions and time. In theory of
infinite nesting of matter is proved the existence of the fifth, scale dimension.
- Action
of forces of gravitation and electromagnetism can be explained by modified
Le Sage's theory of gravitation. Objects of different levels of matter
generate radiation in the form of streams of particles and field quanta,
resulting in aggregate to the formation of the fundamental forces acting
on objects from other levels of matter. It is also possible that the
gravitational field is ordered in a special way the electromagnetic field
of a underlying level of matter. [2]
- There
is a difference between the concepts of "quantity of matter" and
gravitational mass, implying that under certain conditions, different
amount of substance may have the same gravitational properties. This
follows from the dependence of the gravitational forces from the velocity
of the bodies and the dependence of gravitational mass on the density of
matter, also bodies contribute to the mass from its gravitational field.
- Mass
as a measure of inertia on the level of elementary particles is determined
by strong gravitation, and at the macro level – the usual gravitation.
- Distribution
of systems with living beings among cosmic systems has the same laws,
which are inherent to systems with non-living matter.
The historical information
That matter is divisible to infinity,
claimed still Aristotle, Descartes, and also Gottfried Leibniz [3] in his monadology. Isaac Newton
wrote: "Nature is very similar to itself and is very simple, performing
all the great movements of celestial bodies with the help of attraction,
gravity ... and every small particle motion of these bodies – with the help of
other attractive and repulsive forces binding particles." [4] In each particle, no matter how small it is,
"there are the cities occupied by people, cultivated fields, and the sun,
the moon and other stars like ours" – claimed the Greek philosopher
Anaxagoras in his work on gomeomeriya in V century BC. The supporter of the
given theory was also known Russian poet Valery
Bryusov. [5]
"Perhaps, these electrons
Are the Worlds, where five continents,
Arts, knowledge, wars, thrones
And memory of forty centuries!
Still, perhaps, each atom –
the Universe, where hundred of planets;
There – everything, that is here, in
volume compressed,
But also what here is not
present."
Quod est inferius est sicut quod est superius
That is above, similarly to that
is below. This principle uttered more two thousand years ago, has been accepted
for an axiom by followers of hermetic religious philosophy. This current of
times of late antiquity from which in Middle Ages the alchemical science and
which was the forerunner of three movements which have partially lived up to
now was born: movements of illuminatus, frank-macons, and movements
rosenkreuzers. Many most outstanding scientists of Middle Ages and New time
have been connected with any of these movements, mainly because these
organizations stored at themselves the information inaccessible to other.
Hermetists approved analogy between microcosm and macrocosm: in religious
sense, this analogy was understood as conformity of the God and the person
created on an image and similarity divine. However in a science the statement
about general analogy can be understood much more widely.
Modern science increasingly
confirms the true and fundamental tenets set forth in the ancient philosophical
texts. In particular, the theory about similarity of the processes occurring on
macro-and microlevels, is coordinated with Hermes's statement. Study of
extraordinary people thinking leads to the same conclusions. Such great
researchers as Leonardo da Vinci, possessed ability simultaneously to perceive
the whole and its parts; the principle of its researches consist in the
analysis – division of the phenomena into probably small components – and their
synthesis in new configurations. Da Vinci designed the pyramid scheme of
mechanics according to which all natural forces – which he called the "four
forces" – movement, mass, force and the collision – are located on the
system of the pyramid and occur from one another. This principle of the pyramid
in which energy gathers and lost in a geometrical proportion, has made a basis
of mechanics. "The uniform theory of field" of Albert Einstein has
been directed on an establishment of conformity between principles of
realization of all physical phenomena in the Universe – from space up to atom.
On the other hand,
metaphoricalness – the feature inherent, in particular, in the statement of
Hermes about general analogy, is the general feature of thinking of
pathbreakers and authors of ancient texts. “I wish to know ideas of the God,
all rest – is details”, Einstein wrote. The metaphor is an analogy. The central
positions on which the science is based, at all aspiration to accuracy and
unambiguity, also appear metaphoric.
On the basis of the axiom about
similarity of all real communication between science, philosophy and religion
is established.
Kant and Lambert
In a basis of cosmological
representations of Immanuel Kant there was a recognition of existence of
uncountable set of star systems which can be united in systems of higher order.
At the same time each star with the planets and their satellites forms system of
the subordinated order. The Universe, hence, not only is spatially infinite,
but also structurally diverse, as its structure includes space systems of
different orders and the sizes. Putting forward this position, Kant came nearer
to idea about structural infinity of the Universe which has received fuller
development in cosmological doctrine of the contemporary of Kant, German
scientist Johann Heinrich Lambert in 1761. Baruch Spinoza was an adherent of
the Infinite hierarchical model of the Universe.
Fournier D'Albe
Irish scientist Edmund
Edward Fournier D'Albe has made the assumption, that the scale of ranks reaches
also into matters, by reduction. [6] At Fournier
D'Albe a denominator of a progression, i. е. the attitude of the linear sizes
of a star and atom or the sizes of a star of supraworld and stars of
"our" world, being atom of supraworld, is expressed by number 1022.
Such parity of spatial sizes Fournier D'Albe distributed for the time too. One
second in our world in opinion Fournier D'Albe – is hundred billions years in a
life of infraworld, and second in supraworld is equal hundreds billions our
years. Konstantin Tsiolkovsky was familiar with
works of Fournier D'Albe.
Infinite Universes and photometric paradox of Olbers
Within the limits of classical
cosmology this paradox tried to resolve in model of the hierarchical structure
of the Universe developed by Carl
Ludwig Charlier on the basis of idea of Johann Heinrich Lambert. [7] In 1908 Charlier has published the theory of a
structure of the Universe according to which the Universe represents infinite
set of systems of the escalating order of complexity entering each other. In
this theory, individual stars form a galaxy of the first order, a set of
galaxies of first-order forms galaxy of second-order and so on to infinity. On
the basis of such representation about a structure of Universe Charlier has
come to conclusion, that in the infinite Universe the photometric paradox is eliminated,
if distances between a peer systems are sufficiently large compared with their
sizes. It leads to continuous reduction of average density of space substance
in process of transition to systems of higher order. For elimination of paradox
it is required, that the density of substance fell more quickly, than in
inverse proportion to a square of distance from the observer. Such dependence
of density of substance in the Metagalaxy is not observed, therefore the modern
explanation of Olbers paradox is based on other principles (for example, red
shift is considered, theory of general relativity is used). However the idea
about a complex structure of the Universe and an enclosure of systems of the
different level remains and develops. Albert Einstein and F. Selety discussed
the hierarchical model of Charlier in 1922 - 1924 years. [8]
Fractal cosmology
According to the fractal
cosmology, the distribution of matter in cosmological systems occurs on a certain
law, depending on the size of systems, taking into account the principle of
similarity occurring structures. Benoît Mandelbrot
– the founder of the mathematical theory infinite hierarchical (recursive)
self-similar sets, for the description of the given systems enters the new term
– fractal.[9] Cosmological and philosophical sights
of Mandelbrot in historical prospect are well displayed in his not published
note " Two heirs to the Great Chain of Being " [10]
and in the book written together with Yurij Baryshev and Pekka Teerikorpi . [11] Baryshev applies fractal cosmological model with
the fractal dimension D = 2 for the interpretation of the redshift of galaxies
as a result of gravity. The model with the help of dark matter can explain the
observed large-scale distribution of matter and associate it with the
background radiation. [12]
Achieved results
In 1937, Paul Dirac suggested
that the parameters of large cosmological systems can be connected with the
parameters of elementary particles with the help of some large coefficients. [13] The hypothesis of large numbers considered also
Hermann Weyl, [14] Arthur Stanley Eddington, [15] Oskar Klein, Pascual Jordan and others.
Gérard de Vaucouleurs in 1970
used the hierarchical model to describe changes in the density of galactic
systems, depending on their characteristic size. [16]
The idea of nesting of matter was also considered by M.A. Markov [17] and D.D. Ivanenko (maximon - hadron - Metagalaxy). [18]
In 1978 Abdus
Salam suggested that the hadrons can be regarded as microuniverses in de
Sitter space, with the acting there strong
gravitation. [19]
Hierarchical model of the world
is supported by large group of scientists: from Italy, among which Erasmo
Recami, P. Caldirola, P. Castorina; Brazilian scientists W.A. Rodrigues, J.M.
Martınez, V. Tonin–Zanchin, Slovak scientist M. Pavsic; A. Neil from
U.K./Denmark; Indian scientists P. Ammiraju, K.P. Sinha, C. Sivaram, and
others. They view the elementary particles inside as microuniverses, [20] and outside as objects such as black holes. [21] [22] In this regard,
the hypothesis of large numbers again considered. [23]
In addition to the application of general relativity ideas to describe the
objects of the microworld, there was another trend - the use of quantum
approach for predicting the most probable orbits of planetary systems of stars.
Overview of some results contained in Quantization parameters of cosmic
systems.
In the late 1970's and 1980's the
idea has become increasingly spread that the infinite nesting of matter is
suitable not only to explain certain phenomena and the guidance links between
micro and macrocosm, but that it could become a new scientific paradigm. [24] [25] [26]
One of the names of this paradigm
— Discrete Self-Similar Cosmological Paradigm. [27]
It implies similarity of infinite number of discrete matter levels, and the
cosmological paradigm assumes a unified description not only large cosmological
systems (stars, galaxies, metagalaxies, etc.), but also the smallest objects –
molecules, atoms, elementary particles and all the components that make up
their stuff. From this point of view, the theory of infinite nesting of matter
is a theory in the systems science and systems theory,
intended to describe the cosmic systems, their origin and evolution.
In this cosmological paradigm
completely abolished the formal restriction of atomism on the theoretical and
experimental study of the levels of matter, of which consist of elementary
particles. Infinite hierarchical nesting of matter indicates the
unacceptability of the general theory of relativity to describe the whole
Universe, and excludes the Big Bang as the scenario of the Universe
development. In addition, it is acquiring great importance to study universal
mechanisms of formation of objects, the emergence of fields and forces, their
origin and interaction at different levels of matter infinite universe. An
important result was the justification of the fifth, scale dimension of space-time.
Compilation and systematization
of facts substantially accelerated in the beginning of XXI century, thanks to
artificial satellites, modern means of observation – an infrared telescope and
computer analysis of the accumulated material, and deepen knowledge in the
field of elementary particles. The focus of the authors specified further has
been directed to the design theory of infinite nesting of matter as an
independent and necessary for further progress in science research.
Robert L. Oldershaw
Robert L. Oldershaw [7], the independent researcher
of college Amherst (Massachusetts, USA) in a number of works since 1978
developed model cosmological self-similarity (The Self-Similar Cosmological
Model). He has allocated three basic levels of matter – nuclear, star and
galactic levels. The matter is concentrated to the given levels basically in
the form of nucleons and stars, and stars also in the majority are a part of
galaxies. [28] [29]
Oldershaw marks, that the overwhelming quantity of substance in space contains
in the most easy elements – in hydrogen and in helium, and at the level of stars
– in stars-dwarfs with mass 0.1 – 0.8 solar mass. Besides are available much
another examples of similarity:
- Rotation
of carriers near each other under action of the force, decreasing in
inverse proportion to a square of distance.
- Often
observable jets and emissions of a matter of the identical form in star
and galactic systems.
- The
attitude of the sizes of the greatest atoms to the size of a nucleon of
the same order, as the attitude of the size of greater star systems to the
size of a neutron star.
- Dependences
between spin and mass, between the magnetic moment and spin have the
identical form at nuclear and star systems.
- Rydberg’s
atoms show dependence between radiuses and the periods of fluctuations
electrons, very similar to Kepler's law for planets.
Definition of coefficients of
similarity on mass, on sizes and on time of processes between nuclear and star
systems Oldershaw carries out through comparison of Solar system and Rydberg’s
atom with number of orbit n = 168. Thus to hydrogen there correspond stars with
mass of the order of 0.15 solar mass. The coefficients of similarity on size
and time are considered equal to each other and have the value of Λ = 5.2∙10 17
, and the coefficient of similarity of the mass has the form ΛD =
1.7∙1056, where the exponent D = 3.174 . As a result of such
comparison begins possible to do exact enough predictions of mass and the sizes
of stars, galaxies, the size of proton, the periods of rotation of galaxies,
etc. Oldershaw believes that elementary particles should be as charged and
rotating black holes, whose radius is in the first approximation can be
estimated from the Schwarzschild equation:
![]()
where
is
the constant of gravitation, acting on the given level of matter, and
for the atomic level,
for the level of stars,
for the level of galaxies.
Assuming that strong gravitational constant
m3•s–2•kg–1,
Oldershaw finds a matching radius of the electron 4∙10-19 m, and the
radius of the proton 0.81∙10-15 m. At the level of stars and
galaxies are assumed also objects like electrons and protons. In particular, at
the level of stars, black holes are attributed to the electric charge with
value of up to 1.5∙1018 C. At the level of galaxies globular
clusters of stars correspond to an electron and galaxies − to the proton and
the more massive atomic nuclei. To estimate the size of globular clusters and
galaxies it is necessary to multiply the radius of the electron and radii of
atomic nuclei on the value of Λ2. As can be seen from this
comparison, there is no complete similarity, since black holes are only
suspected in some globular clusters and galaxies, but do not cover these
objects completely. Therefore, Oldershaw introduces for the electron the
concept of a halo consisting of tiny particles that form the substance of the
electron. This halo surrounds the nucleus of an electron as well as external
stars in globular clusters surrounding the nucleus of the cluster. According to
Oldershaw, dark matter should consist of black holes.
Sergey I. Sukhonos
Sergey I. Sukhonos [8] in a number of works
[30] has shown existence of the separate material
formations located on an axis of the sizes by 13 discrete groups through equal
intervals in logarithmic scale. The greatest considered size belongs to the
Metagalaxy, the least – to a hypothetical particle maximon, on twenty orders
smaller then nucleon. Metagalaxy, nucleons and maximon belong to the basic
levels of matter, between them there are all known objects which properties
periodically repeat with the attitude of the sizes nearby 1020.
Sukhonos pays attention to the fractal phenomena in the nature, and also
displays bimodality when objects show supplementary properties: spiral and
elliptic galaxies; subdwarfs as primary stars of the Galaxy with deficiency of
heavy elements, and usual stars of the main sequence; planets external and
internal; processes of synthesis and division, monocentric and polycentric
structures at different levels of matter. For an explanation of specified laws Sukhonos
involves idea about the fourth, scale dimension and corresponding interaction,
and also wave representations. With the "wave of sustainability"
scale axis is divided into three major intervals − microinterval, macrointerval
and megainterval (the word micro here means small, rather than a
millionth of the size).
Yun Pyo Jung
Yun Pyo Jung [9] from Korea criticizes the
theory of the Big Bang in connection with the logic contradiction – on greater scales
the nearby space objects never will make more than one turn near each other
because of constant expansion of the Universe, despite of gravitational
communication between them. Proceeding from idea recursive cosmology, by
comparison of the sizes of kernels of galaxies and nuclear kernels, galaxies
and atoms, congestions of galaxies and molecules the factor of similarity in
the sizes about 1030 is defined. The same value is deduced for
factor of similarity on time, connecting duration of the same processes in
nuclear and galactic systems. [31]
Sergey G. Fedosin
Sergey G. Fedosin [10], the physicist and the
philosopher from Perm, Russia, mathematically has proved the basic features of the
theory, having passed from qualitative conclusions to quantitative results in
his monograph on the theory of similarity. [32]
Eighteen levels of matter from
preons up to metagalaxies were divided into basic and intermediate in their
masses and dimensions, and between them are derived relation of similarity. The
main levels in this range of levels of matter are level of elementary particles
and the level of stars. At these levels there are the most stable and
long-living carriers, that are nucleons and the neutron stars containing a
maximum quantity of composite particles and having a maximum density of matter
and energy. The substance of these carriers is degenerate, so their constituent
particles are in quantum states with nearly the same energy, and therefore the
state of such substance described by the laws of quantum mechanics. In this
case a neutron star contains about Φ = 1.62•10 57 nucleons,
and by induction it is assumed that the same quantum particles contained in the
nucleon. As a consequence of the similarity of the atomic level and the level
of stars quantization parameters of cosmic systems is found.
Determination of coefficients of
similarity on mass Φ, on size P, on velocity S, on
duration of similar processes Π is made by means of the hydrogen system.
At the level of atoms the hydrogen system is a hydrogen atom, and at the level
of main-sequence stars − the corresponding planetary system consisting of a
star of minimum mass and a planet as the analogue of the electron. For
degenerate compact stars like white dwarfs and neutron stars are entered their
own coefficients of similarity, based on the ratio to the parameters of the
proton. For magnetars
as analogues of the proton the electric charge with value of 5.5∙1018
C and the magnetic moment of 1.6∙1030 J / T are predicted.
The ratio of radius of a neutron
star to radius of a proton gives factor of similarity on sizes P =
1.4•1019. Full energy of a neutron star without taking into account
energy of rest is defined by expression Es = MsC2,
where C= 6.8•107 m/s – characteristic speed of particles of
the neutron star, Ms – mass of the star. Similarly for a
nucleon full energy En = Mnc2,
where c = 2.9979•108m/s – speed of light and characteristic
speed of particles in the substance of nucleon, Mn – mass of
a nucleon. The ratio of speed C to speed of light c gives factor
of similarity on speeds S = 0.23. The factor of similarity on time is Π
= P /S = 6.1•1019. From here follows, that processes
at the level of nucleon substances proceed in Π time more quickly, than
at the level of neutron stars.
The theory of similarity
predicts, that among stars the lightest are stars with mass of 0.056 solar
mass. Such stars are now discovered and are called brown
dwarfs or L-dwarfs. Solar system on the mass and number of planets
similarly to atom of oxygen as the mass of the Sun exceeds mass of the most
easy stars in the same way as the mass of atom of oxygen exceeds mass of atom
of hydrogen. Our Galaxy Milky Way together with galaxies Large Magellanic Cloud
and Small Magellanic Cloud form the congestion of galaxies similar on mass to a
molecule of water H2O. Our Galaxy is considerably massive then
Magellanic Clouds and plays the role of atom of oxygen (or may be fluorine).
Around of the given congestion of three large galaxies are rotated about 14
dwarfish galaxies which can be named galactic analogues of electron. The values
of typical parameters of dwarf galaxies were confirmed, with the mass of 4.4 ∙
106 solar masses and the radius of up to 371 pc.[33]
[34]
As on the axis of mass (and on
the axis of the sizes) all natural bodies settle down discrete groups the
attitude of mass between any next groups is the same number. Hence, growth of
mass of objects occurs on a geometrical progression, the same is fair
concerning the sizes of objects. It allows to compare with attitudes of
similarity between various levels of matter and by that in advance to predict
still more about investigated badly objects. As consequence, SPΦ-symmetry of
similarity is entered between the basic levels of matter. Some analogue of
similar symmetry is CPT-symmetry known in the quantum field theory.
In addition, Fedosin found a
connection between mass and energy of the space objects, corresponding to
Einstein's formula (mass–energy equivalence), identified stellar constants,
such as stellar Planck constant, stellar Dirac constant and stellar Boltzmann
constant, calculated the angular momentum and the radius of the proton as well.
[35] A comparison of the prevalence of stars of
different masses with the prevalence of atomic nuclei proved discreteness of
stars parameters and one-one correspondence between the chemical elements and
the stars.
The explanation of the red shift
in spectra of remote galaxies and cosmic microwave background radiation from
the concept of an expanding Universe seems inadequate, and invites other
explanations. It leads to the idea of cosmic red shift and microwave background
radiation as a consequence of interaction between photons and previously
unknown particles. At the level of stars analogues of the new particles are
white dwarfs, whose number exceeds the number of neutron stars. Fedosin shows
that the overall mass of the new particles in the Universe of the same order as the mass of all the known
nucleons. Thus the problem of invisible dark matter
may be solved. The question must be raised about the need for the existence of dark
energy. In particular, the effect of attenuation of radiation from the distant
supernovas is considered to be the consequence of scattering of photons on the
new particles, but not the result of the dark energy activity. [36]
Fedosin using Le Sage's theory of
gravitation based on the notion of gravitons derived the formula for Newton's
gravity, found the energy density and the penetrating power of gravitons in the
matter. [37]
In order to describe the nuclear
forces in the gravitational model of strong interactions he introduces the
concept of the fields of gravitational torsion and uses strong
gravitation, as constituent parts of strong interaction between elementary
particles. [38]
Strong gravitational constant which
is equal to
m3•s–2•kg–1, can be calculated through the
coefficients of similarity between the atomic and stellar systems. The idea of
infinite nesting of matter was the basis for the construction of substantial
electron model and explaining of electronic spin. Model of quark quasiparticles
shows that quarks can be represented as a combination of the two phases of
hadronic matter and therefore, they are quasiparticles. In this case, the
composition of hadrons can be reduced to quarks only for the formal description
of properties of hadrons, but the actual reason for the idea of quarks is
discrete and quantum properties of elementary particles and the resulting
symmetry of their interactions in the fundamental fields. In particular, in
substantial neutron model and substantial proton model are found that the mass
of the nucleons is in a narrow range of masses as a consequence of the equation
of state of hadronic matter and its evolution in the field of strong
gravitation.
The electric charge of the proton
appears in the reactions of the weak interaction in neutron matter during beta
decay and reaches a maximum when the density of the zero electromagnetic energy
becomes comparable to the energy density of strong gravitation. [2] Analysis of electric and magnetic
polarizabilities of nucleons shows that they can be understood without invoking
the idea of quarks.
The detailed philosophical
analysis of the theory of infinite nesting of matter was
carried out by Sergey Fedosin in 2003. [39] At each
level of matter characteristic basic carriers and boundary points of the
measure are allocated. Transitions from one level of matter to another are
carried out under the law of transition of quantity in quality when the
quantity of carriers in object exceeds the admissible borders of the measure
typical for given object. Examples of fractal structures at various spatial
levels of matter are resulted. Owing to hierarchical structure of the Universe consisting
of objects similar each other and particles of fields, repeatability of
elements of the natural phenomena, unity and integrity of the Universe is
carried out, symmetry of similarity is shown. The theory of infinite nesting of
matter is justified by the law of similarity of carriers of different scale
levels.
In addition to infinite nesting
of physical material objects of different levels, an infinite nesting of life
is found – inside the autonomous living organisms of one level from the
smallest prions and ending with the whales are present other living structure
of lower levels of scale. In this case there is an interpenetration of the
living and nonliving matter, and a clear correlation between the size and mass
of living carriers and the corresponding values of physical objects at
different levels of matter. Thus, nesting of living matter in natural systems
is manifested as the distribution of organisms of different species of scale
levels according to mass and size as well as the infinite nesting of levels
living matter in each individual living organism. [40]
As an illustration, it is known, that in the human body there is so much
bacteria that their total mass may be up to two kilograms. [11]
The infinite nesting of living
beings is in agreement with the living systems theory of James Grier Miller, which considered many
living systems, in order of increasing size, and identifies his subsystems in
each. [41] He concluded: nonrandom accumulations of
matter-energy in physical space-time organized into interacting, interrelated
subsystems or components. In such complex structures, he identified eight
"nested" hierarchical levels, including cell, organ, organism, group,
organization, community, society, and supranational system. Nesting is defined
as that organ is composed of many cells, and body - of many organs, etc. In
addition to such qualitative conclusions, in the theory of infinite nesting
with the help of similarity of matter levels are determined some quantitative
regularities. For example, there are coefficients of similarity in mass, to
assess the critical number of living beings, delimiting between themselves
different levels of the organization alive.
Tegmark M.
Max Tegmark classifies different
types of simultaneously existing universes, depending on their possible
properties. Under this universes he understands objects with dimensions close
to the size of our Metagalaxy. It is assumed that such neighboring universes
are autonomous and independent from each other, and they may have even other
physical laws, or other elementary particles and physical constants. [42]
Leonard N. Plyashkevich, Mira L. Plyashkevich
Leonard N. Plyashkevich and Mira
L. Plyashkevich in their work considered the basic postulates of a variant of cosmology,
as an alternative hypothesis of the Big Bang. [43]
Authors had been made attempt to reveal a uniform principle of micro and
macrocosms. For achievement of this purpose methods of transformation of
similarity and dimensions of physical quantities are used. The gravitational
field is considered by way of Faraday - Maxwell field. Refusal of the
hypothesis of the Big Bang and interpretation of red shift in spectra of far
galaxies as Doppler effect, allows to develop hierarchical model of the Universe.
The problem of coexistence of usual matter and antimatter is mentioned. The
purpose of the work – to show, not plunging into chasms of metric theories, the
right to existence and development of hierarchical model.
Boris M. Sirotenko (Boris Antsis)
Unified structure of Universe.[44] About similarity micro-and a macrocosm.[45]
Salzman L.I.
A system of the Universe was
published in the book "Rise of the Worlds" (2003). [46] The system covers Genesis of inert and living
matter. The Universe is represented as a dynamic hierarchy of particular
worlds. Subsidiaries of inert matter arise from elementary particles of the
parent structure by their gravitational condensation in accordance with the
theory of Jeans. It is proved that the condensation is
involved only about half of the particles. Others particles with large escape
velocity, remain dispersed in space and serve as material for a variety of
potential fields. It is shown that the substance of all particular worlds, from
the microworld, acquires the properties of superfluidity, superconductivity,
etc. It seems macrocosm is the latest in the existing hierarchy. Large-scale
constants connecting dimensions and mass of particles, and energy density and
the relaxation time of particular worlds are calculated. It is found that,
despite the infinite number of particular worlds, all the basic parameters of
the Universe are finite. The theoretical possibility of the existence of life
in each particular world is discussed and reviewed, what nature took to create
highly intelligent beings.
Cosmology of Raël
Raelian cosmology is based on similar
cosmological sights at the structure of the Universe.
Theory in pop culture
- YouTube|cNV9FEKi9FQ|Intro
to cartoon serial Simpsons – The Ziff Who Came to Dinner. The episode the
first time is shown 14.03.2004 (to the 125 anniversary from the date of
Albert Einstein's birth).
- The
ending of film of Stephen Spielberg " War of the worlds " (War
of the worlds, 2005) – http://www.imdb.com/title/tt0407304/
- Song
Moby – We
are all made of stars, 2002
- The
Dark Tower – a series of novels of Stephen
King
- Final
in film " People in black " (1997) / Men
In Black – one of the best screen versions of given article.
See also
- Infinite divisibility
- Recursion
- Fractal
- Large-scale structure of the
cosmos
- Le Sage's theory of gravitation
- Fractal cosmology
- Systems science
- Systems
theory
- Scale dimension
- Strong gravitational constant
References
- The principles of fractal paradigm are presented according to the
article «THE
HIDDEN MEANING OF PLANCK'S CONSTANT» of Oldershaw R.L. in his letter
dated 20.03.2008 and addressed to Fedosin S.G.
- 2.0 2.1 Comments to the book: Fedosin
S.G. Fizicheskie teorii i beskonechnaia vlozhennost’ materii. – Perm,
2009, 844 pages, Tabl. 21, Pic. 41, Ref. 289. ISBN 978-5-9901951-1-0. (in
Russian).
- Gottfried Wilhelm von Leibniz, De materia prima, 1670 [1]
- Newton I. Optics. 1954, pp. 301.
- Valery Bryusov, «The World of electron», 1922, in Russian.
- Fournier D’Albe, E. E. Two New Worlds: I The Infra World; II The Supra
World, 1907, London: Longmans Green.
- Charlier C. V. L., Ark. Mat. Astron. Fys., 1908, Vol. 4, P. 1;
Charlier C. V. L. Ark. Mat. Astron. Fys., 1922, Vol. 16, P. 1.
- Selety F. Ann. Phys., 1922, Vol. 68, P. 281; Einstein A. Ann. Phys.,
1922, Vol. 69, P. 436; Selety F. Ann. Phys., 1923, Vol. 72, P. 58; Selety
F. Ann. Phys., 1924, Vol. 73, P. 290.
- Mandelbrot B.B. — Fractals — W.H. Freeman, San Francisco (1977), and
The Fractal Geometry of Nature, W.H. Freeman, New York (1983).
- Benoit Mandelbrot, "Two heirs to the Great Chain of Being",
1982 [2]
- Baryshev, Y. and Teerikorpi, P. — The Discovery of Cosmic Fractals —
World Scientific Press, London-Singapore, 2002, ISBN 981-02-4872-5.
- Baryshev, Y. Field fractal
cosmological model as an example of practical cosmology approach.
Practical Cosmology, 2008, Vol. 2, P. 60-67.
- Dirac P.A.M., Letters to the Editor: The Cosmological Constants,
Nature, 1937, Vol. 139, P. 323; Dirac P.A.M., Physical Science and
Philosophy, Nature Supplement, 1937, Vol. 139, P. 1001; Dirac P.
Cosmological models and the Large Numbers Hypothesis. Proc.R.Soc. A, 1974,
Vol. 338, P. 439-446.
- G. Gorelik: Hermann Weyl and large numbers in relativistic cosmology.
In: Y. Balashov and V. Vizgin (eds) Einstein Studies In Russia
(Birkhaeuser, Boston, 2002).
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Cambridge,1935, a 233-234.
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Relativit`a – Centenario di Einstein, edited by M.Pantaleo and F.de Finis
(Giunti-Barbera; Florence, 1978), p.131.
- Salam, A., and Strathdee, J. Confinement Through Tensor Gauge Fields.
Physical Review D, 1978, Vol.18, Issue 12, P. 4596-4609.
- Recami E. Multi-verses,
Micro-universes and Elementary Particles (Hadrons).
arXiv:physics/0505149v123, May 2005.
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Black- Holes». Letters Nuovo Cimento, 1976, Vol. 15, No 10, P. 347-350.
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Physical Review D, 1977, Vol. 16, Issue 6, P. 1975-1978.
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by a Hierarchy of ‘Universes’: A Unified Theory of Strong and
Gravitational Interactions”, Nuovo Cimento B48 (1978) 205-271.
- Chown, Marcus — Fractal Universe — New Scientist — 21 August, 1999.
- Gefter, Amanda — Is the Universe a Fractal? — New Scientist — 10 March,
2007: No 2594.
- Sergey Khaitun. «Ot ergodicheskoi gipotezy k fraktalnoi kartine mira:
rozhdenie i osmyslenie novoi paradigmy», KomKniga, 2007, ISBN
5-484-00565-5 (in Russian).
- Robert L. Oldershaw. An Infinite
Fractal Cosmos. arXiv:1001.2865v1, 17 Jan 2010.
- Robert L. Oldershaw. “Self-Similar Cosmological Model: Introduction
and Empirical Tests”. International Journal of Theoretical Physics, Vol.
28, No. 6, 669-694, 1989. [3]
- R. L. Oldershaw. Discrete Scale Relativity. Astrophysics and Space
Science, Vol. 311, No. 4, pgs. 431-433, October 2007 [4]
- S. I. Sukhonos. (Structure of steady levels of the organization of
material world), SPb.: Hydrometeoizdat, 1992., and also S. I. Sukhonos.
(Scale harmony of the Universe), М.: Sofia, 2000, 312 pp, in Russian. ISBN
5-89117-096-5 .
- Yun Pyo Jung. «Infinite Universe
In A Mote», Sagyejul Publishing Co., 1994, 290 pp.; «Infinity in a Speck» (Fractal
Cosmology)
- Fedosin S.G. (1999), written at Perm, pages 544, Fizika
i filosofiia podobiia ot preonov do metagalaktik,
ISBN 5-8131-0012-1.
- Louis E. Strigari, James S. Bullock, Manoj Kaplinghat, Joshua D.
Simon, Marla Geha, Beth Willman, Matthew G. Walker. A common mass scale for satellite
galaxies of the Milky Way. – arXiv: Astrophysics (astro-ph), 27 Aug
2008.
- D. Adén, M. I. Wilkinson, J. I. Read, S. Feltzing, A. Koch, G. F.
Gilmore, E. K. Grebel, I. Lundström. A new low mass for the Hercules
dSph: the end of a common mass scale for the dwarfs? – arXiv: Galaxy
Astrophysics (astro-ph.GA), 7 Oct 2009.
- Fedosin S.G. Sovremennye problemy
fiziki: v poiskakh novykh printsipov. Moskva: Editorial URSS, 2002,
192 pages. ISBN 5-8360-0435-8.
- Fedosin
S.G. Cosmic Red Shift, Microwave
Background, and New Particles. Galilean Electrodynamics, Spring 2012,
Vol. 23, Special Issues No. 1, P. 3 – 13.
- Fedosin S.G. Model of Gravitational
Interaction in the Concept of Gravitons. Journal of Vectorial Relativity,
Vol. 4, No. 1, March 2009, P.1-24.
- Fedosin S.G. Fizicheskie
teorii i beskonechnaia vlozhennost’ materii. – Perm, 2009, 844 pages,
Tabl. 21, Pic. 41, Ref. 289. ISBN 978-5-9901951-1-0. (in Russian).
- Fedosin S.G. Osnovy
sinkretiki: filosofiia nositeleĭ. – Moskva: Editorial URSS, 2003, 464
pages. ISBN 5-354-00375-X. in Russian.
- Fedosin S.G. Nositeli
zhizni : proiskhozhdenie i ėvoliutsiia. – S.-Peterburg: Dmitriĭ
Bulanin, 2007, 104 pages. ISBN 978-5-86007-556-6.
- James Grier Miller, (1978). Living systems.New York:
McGraw-Hill. ISBN 0-87081-363-3.
- Tegmark M.
“Parallel Universes”, Scientific American,2003, Vol. 288(5), P. 41-51.
- L. N. Plyashkevich, M.L. Plyashkevich. To the question on similarity
of atomic and galactic structures of matter, in Russian.[5]
- Boris Antsis. Unified structure of Universe [6]
- Sirotenko, B. M. About similarity micro-and macrocosm,
Hydrometeoizdat, 1990, 42 pp., in Russian.
- L. Salzman. Rise of the
Worlds. – St. Petersburg, European House, 2003, 385 p. ISBN
5-8015-0154-1. in Russian.
Additional references
- The Scale of the
Universe — Image of scale axis with objects on it.
- Film
Cosmic Voyage
- Film
Powers of Ten
- Turtles_all_the_way_down – Indirectly
concerns to the questions on boundless division of the matter and
occurrence of the world, by analogy. Various literary variations of very
old philosophical question are described: If the Earth is flat also costs
on the back of a huge turtle on what there is the turtle? The standard
answer (or leaving from the answer?) says: the turtle on what it is not
necessary, it simply below! Other question concerns origins of the world
and the competence of its creator: If the world is created by the God then
from whence the God has undertaken? If there is something, what by
anything and is created by nobody (for example, the God) why world as
those to not be nobody created?
- David
Pratt – The Infinite Divisibility of Matter. The history of moving
deep into levels of the matter – from atoms to elementary particles down
to quarks is considered. Criticized modern theories of strings and
representations about elementary particles, owing to presence of many
artificial assumptions (gauge of a charge, pointness of electron and
quarks, compactness dimensions of space, birth of particles only from
itself (instead of from other free substance), lack of structure of some
particles, refusal of intrinsic understanding of the physical phenomena).
- [12] Balashov I.F. The
analysis of concepts of step-type behaviour, infinity, repeatability of
the matter on different scales.
- Marcelo B. Ribeiro – The
Apparent Fractal Conjecture.
- Many-worlds
interpretation
- Topic:Philosophy
of science
- Philosophy of
infinity
- Theory
of Everything Project
- Historical
Introduction to Philosophy/Metaphysics
- Infinite
Hierarchical Nesting of Matter in Russian



