2019, Volume 7, Issue 4, Pages: 647-653  
J. Environ. Treat. Tech.  
ISSN: 2309-1185  
Journal web link: http://www.jett.dormaj.com  
World Conscience. Model of a Social Crystal  
Mikhail B. Strigin  
Russian Christian Humanitarian Academy, Sankt-Peterburg, Russia  
Received: 20/05/2019  
Accepted: 1/08/2019  
Published: 03/09/2019  
Abstract  
In this paper we will try to verify the hypothesis about the synergy of the systems of man and humanity. This makes it possible to  
put forward the following hypothesis: about the possibility of the appearance of the World Conscience - the next level of human  
rationality. One indication of this is, we believe, the structuring of humanity in the form of an “aperiodic social crystal”, the concept of  
which was introduced by Erwin Schrödinger. This model defines the essence of the social element, while its being is determined by  
another model - the model of a nonlinear oscillator (nonlinear pendulum). The model of human development is a system with feedback  
the individual builds more and more complex social systems - actors which, in turn, build up an increasingly complex topology of  
consciousness, influencing the anthropology of man. The higher the number of social systems and the more complicated they are, the  
greater changes occur to the individual and the more intelligent the behavior of the actor becomes, which determines the importance of  
multiple social rebuildings, reformatting the “social crystal”, which Bruno Latour focuses on in his work “Rebuilding the Social” (5).  
But only through just increasing the number of rebuildings it is impossible to accelerate the evolution, since in the model of a nonlinear  
oscillator there are several parameters defining it. This model contains both the principle of the appearance of the actor, and the time  
of its necessary existence - the time of its adaptation by the universe.  
Keywords: humanity, actor, nonlinear oscillator, system, aperiodic crystal, correlation, synergetics.  
groups has also been observed throughout history, but such  
groups, unlike hymenoptera, most often have a one-  
1
The World Conscience as the Quintessence of  
1
the World Soul  
dimensional structure and only with the advent of rational man  
does society gradually acquire a complex multi-dimensional  
fractal type hierarchy. Fractal is easy to imagine, remembering  
a snowflake, the coastal zone of the sea or a tree (6). Its main  
qualities are the repeatability of the picture when changing the  
scale, the singularity of the transition between the levels and,  
most importantly, the actual dimension of the structure under  
consideration is higher than the topological one (that is, such a  
structure actually contains much more than it could have  
visually). Without going deep into the morphology of a human,  
one can say that his fractality is its most important component.  
Virtually all systems - the blood-vascular, the nervous system,  
as well as organs (lungs, liver, etc.) - have a fractal structure,  
which was acquired in the process of evolution. The brain in  
its early stages had a smooth structure, and only later acquired  
folds and fractality. “The reasons for the positive relationship  
between the size of the group and the brain volume in primates  
are quite obvious” (7).  
The crisis of spirit, the loss by Christianity of its positions,  
the interweaving of world religions and the active mixing of  
races - all this speaks of the urgency of the emergence of a new  
idea that could unite all humanity to solve not only earthly but  
also cosmic tasks. It took four billion years to create a unique  
object  a human who does not only contemplate evolution  
from the outside, but can also accelerate it: “man, thanks to his  
imaginative, recursive thinking, can accelerate natural  
evolution” (12). And each time over this period, nature first  
creates the largest possible number of species of some of its  
creation, in order to unite this diversity into a new society  
when, at the end of each shoot of the tree of life, phylum  
elements take their final form, they are just as certain in their  
movement towards approaching and socialization, as atoms of  
a solid body tend to crystallize” (15). Thus, nature needed to  
create a multitude of complex molecules, which united in cells,  
as a result of which eukaryotes and prokaryotes appeared.  
Then eukaryotes united in organisms, creating all the diversity  
of life on the planet. Organisms, in turn, began to unite in  
social groups. One of the brightest explications of the social  
can be observed in the life of hymenoptera, when a complex  
society is much more than the sum of its individual members.  
The behavior of a society of insects is determined not by the  
psyche of the individual, but by the cognitive ability of the  
whole group at once. The association of higher animals into  
A very important concept for evolution is the boundary  
associated with the concept of sustainability. The formation of  
a boundary in a society determines the end of a quantitative  
evolutionary process just like the appearance of a membrane  
in a cell limited its growth in size and further evolution took  
the path of combining cells into different groups. But, at the  
same time, the internal evolution of the cell occurs, its  
Corresponding author: Mikhail B. Strigin, Russian Christian Humanitarian Academy, Sankt-Peterburg, Russia.  
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Journal of Environmental Treatment Techniques  
2019, Volume 7, Issue 4, Pages: 647-653  
complexity increases with time. Similarly, a society that has  
ceased to grow quantitatively complicates its internal  
organization. Similarly, a cell society called the brain,  
bounded by the skull, increased its internal complexity by  
acquiring a fractal structure. At this stage, it is not the number  
of members in a society that becomes important, but the  
number of connections between them. Each extra connection  
is a significant contribution to the development of cognition.  
This led to the emergence of human intelligence.  
induce and assume that human society is the next step in the  
mental development of  
a complex molecule and its  
socialization (molecule - cell - organism - man - society). "The  
cage has become an ‘important person.’ After a grain of  
matter, after a grain of life, finally, a grain of thought was  
formed” (15). And as we saw earlier, for the emergence of the  
world mind it is necessary to draw a line between social  
thinking and society.  
The idea of Plato’s world soul, lost in the medieval  
scholasticism, reappears in the Renaissance in Schelling’s  
works and transforms into the world spirit of Hegel, which, in  
turn, is explicated by national spirits, which leads to social  
contradictions. And finally, Hegel believed that when the  
world spirit abandons doubts, contradictions would be  
resolved and the “Kingdom of Freedom” would come. In the  
twentieth century, Pierre Teilhard de Chardin grasped the idea  
of John Haldane's integrated intelligence, the disclosure of  
which resulted in the work entitled "The Phenomenon of  
Man", where Chardin revealed his idea of the intention of  
humanity to achieve a certain point of Omega. “A thought can  
be extrapolated only in the direction of super-thinking, that is,  
super-personalization” (15). In parallel with him, Vernadsky  
in his work “Noosphere” created the concept of the thinking  
shell of the earth.  
In the present work, the author will stick only to the  
transitional stage in the formation of the noosphere, taking  
only humanity and its external quality - sociality as the subject  
of research. The author will turn to Bruno Latour and his work  
“Rebuilding the Social: An Introduction to Actor-Network  
Theory” (5), where all social groups are designated as active  
actors linked together in a social network. It seems that in order  
to study global society, it is more convenient to use the  
metaphor of an aperiodic crystal, rather than the metaphor of a  
network, and to understand how society is condensing, how  
various actors evolve, increasing the complexity of such an  
actor as humanity. In the first part, the author will consider the  
evolution of a separate actor based on the model of a nonlinear  
oscillator, and in the second part it will be shown how the  
aperiodic crystal of humanity was formed. In the summary  
section, a conclusion will be made about the verification of the  
hypothesis of the emergence of the world mind as a holistic  
thinking structure of a new type.  
In animals, high mental activity can also be observed, but  
it has a linear and occasional form, and only in humans does  
the mind acquire a hierarchical structure. “In animals in one  
form or another, many (almost all) aspects of thinking and  
behavior that were traditionally considered ‘purely human’  
have been found (7). The human mind acquires the ability to  
combine these “cases of high mental activity” into a single  
duration and the ability to rise above by categorizing them.  
One of the most important cognitive manifestations of the  
mind, which allowed the human mind to perform this work, is  
the metaphoric nature of consciousness. Due to metaphoric  
nature, man discovered the consistency observed in nature, the  
similarity between different “cases of high mental activity”  
and different gestalts. The man seemed to draw a line between  
himself and his activity, which allowed him to make transfers  
of meaning by connecting the current moment and the nearby  
ones. Then Kant’s metaphor that a person’s mind is able to  
detect structures that are already a priori contained in him  
acquires a physiological sense. One can speak about a certain  
system with feedback: the brain in the process of evolution  
acquires an increasingly complex (fractal) structure, which  
makes it possible to increase the cognitive ability and to  
explicate more and more complex correlations through  
language. And vice versa, man, through language, inductively  
creates more and more complex social (fractal) systems, the  
explication of which changes the topology of consciousness.  
And then the structure of the brain evolves with the language  
and with society. Noam Chomsky wrote about the similar  
structure of the proto-language in his work “On Nature and  
Language(14). He saw the presence of a protolanguage in the  
mind of the infant and the activation of the connections of the  
language in the form in which it is inherent to the parents.  
Roughly speaking, the “switches” (connections that form  
rationality) are set in the same form as they are in the case of  
the parents. But of course, rationality is primarily determined  
by the level of activation, and therefore, no matter how  
topologically complex a structure is, a human who grew up in  
an animal family will remain an animal. In a normal situation,  
rationality follows the topology of the brain, which undergoes  
biological complications as social systems become more  
complex. This is how the emergence of consciousness is  
manifested.  
2
The two metaphors  
Historical processes combine both periods of genesis,  
periods of growth, and periods of disintegration of social  
structures. Bruno Latour in his actor-network model insists on  
not considering stable periods in history, believing that only  
rebuilding actions produced by society are important for  
history, since they are as informative as possible. Likewise,  
one can think, leaving one thought and giving birth to the next.  
But, just like in the life of an individual, not only the moment  
of perception is important, but also the period of apperception,  
in the life of society, it is incorrect to ignore the period of  
understanding new experience. All history is the absorption of  
natural or social acts into the personal and social context. This  
law is explicated in the dictum of Ecclesiastes: “there is time  
to scatter stones, and there is time to collect them”. An  
individual and a large social group can become actors, but the  
actor’s moment of explication is always the manifestation of  
his ideas in a particular person. And, if the initial impetus to  
the development of the actor is given by a specific person, then  
But the reverse should also be true: if the complication of  
actors has led to such a complexity of the brain topology that  
a rational man has appeared, then an actor (humanity) with  
more complexity than a man (man being one of its elements)  
should obtain a new kind of mentality. Indeed, the human  
society from the linear organization of a prehistoric tribe has  
become a complex structure. And here we see the limited  
nature of the human society in the size of the earth, just as the  
size of the brain is limited by the cranium, which implicitly  
leads to the end of quantitative evolution and the transition  
only to qualitative changes. And it is absolutely logical to  
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Journal of Environmental Treatment Techniques  
2019, Volume 7, Issue 4, Pages: 647-653  
the apperception of the social act occurs through the collective  
actor, the social group that was formed as a result of the social  
act integrated into the network that Latour calls the sociology  
of associations. As a result, the actions of society acquire a  
coordinated, rational form. But for today, the “mind of  
society” remains at the level of individual explications,  
individual uncoordinated social “flashes” of intellectual  
activity, just as animals sometimes show signs of rationality.  
The actor, as a social structure, is described by a number  
of parameters, has its own characteristics and therefore has  
systemic properties. In the work “Analytical and synthetic  
stages of evolution of arbitrary systems: ontological features  
and characteristics” (11), the author of the present article  
showed that the model of a nonlinear oscillator (pendulum) is  
as general as possible to describe any arbitrarily chosen  
system, and which, in addition to the synthesis stage (Latour’s  
an "aperiodic crystal" was introduced by Erwin Schrödinger to  
determine the DNA of a living organism. And, as it turns out,  
there is an ontological connection between the formation of  
humanity as an aperiodic crystal and the development of man.  
Having introduced such a concept, Schrödinger did not give an  
idea of how such a crystal is formed. The author of the present  
paper sees its essence in the following: if an atom of a  
homogeneous crystal is an element of only one cell, then an  
atom of an aperiodic crystal participates in many different  
structures and, accordingly, the imposition of these structures  
on each other gives it an aperiodicity, just like if we combine  
several pictures of different artists with each other, then,  
without preliminary preparation, we will hardly sort out what  
is depicted there. Similarly, social aperiodicity is organized.  
Any actor starts with its idea. The idea that formed the core  
of the actor, in the next moment, begins to multiply, creating  
smaller-scale subactors that are like the central actor. (All  
modern trade networks operate according to this principle,  
colonial relations in previous centuries were built in a similar  
way, empires had a hierarchy, repeated on different scales).  
Each subactor has individual differences, determined by the  
locality where it is formed. But the general form remains the  
same. In addition, each person participates in a multitude of  
actors, ensuring their interweaving, increasing the complexity  
exponentially. Structures having a similar appearance at  
different levels are called fractals. The fractal form of society  
is created by the singularity of historical transitions during  
synthesis. Further, it will be shown that the social crystal  
acquired a fractal structure much later than the crystal itself  
began to form, and here a similarity to the human brain can be  
seen. The growth of social crystals can be viewed from a  
different angle. An arbitrary crystal, depending on its growth  
rate, can have a homogeneous structure in the case of slow  
growth, and fractal structure when it grows rapidly like an ice  
crystal. Most often, the empires of the last millennium grew  
with great speed and therefore turned into fractals (Tatar-  
Mongolian, Tamerlane's Empire, Ottoman).  
rebuilding”), has a harmonic stage, consisting, in its turn, of  
the adaptation period, the harmonic period proper, and the  
stage of chaos. In the same work, it is shown that all periods  
of the evolution of the system are important: the adaptation  
stage - the apperception stage is necessary so that the entire  
culture of society absorbs the actor's derivative, the chaotic  
stage - the final stage of decay - is necessary as an unstable  
period, a period leading to the bifurcation point and the  
subsequent possibility of synthesis. It is the instability of the  
system that makes it possible to form a new actor and leave the  
stage of chaos. To produce a new actor during the harmonic  
stage is extremely energy-intensive.  
Thus, in the present article the evolution of the actor will  
be considered using the model of a nonlinear oscillator. In a  
similar way, evolution was described by Chardin, representing  
two types of energy - tangential and radial. If the tangential  
energy carries the system into a tautological movement, then  
the radial movement leads to an increase in complexity. “In  
each element-particle, the fundamental energy is divided into  
two components: tangential energy, which connects this  
element with all other elements of the same order, and radial  
energy, which attracts it in the direction of an increasingly  
complex and internally concentrated state” (15). Obviously,  
tangential motion is a circular motion which means the  
harmonic stage, while radial motion is a change in radius and,  
accordingly, synthesis. In Chardin’s description, the classic  
idea of the spiral nature of evolution takes the form of a step-  
spinning pendulum. Accordingly, our model has a more  
illustrative appearance.  
To describe a complex multiparameter system, a metaphor  
is usually used due to its cognitive power (1). A metaphor is  
able to convey the structural and dynamic behavior of the  
system at a certain stage of its evolution. It is an explication of  
the space-time isomorphism of the behavior of systems from  
different areas of being, as Ludwig von Bertalanffy (3) pointed  
out in his work (it is more correct to use the term  
homomorphism, but Bertalanffy used the term isomorphism).  
A purely systematic, mathematical approach is able to reflect  
only dynamic characteristics; unlike it, the metaphorical one  
can also convey many other parameters, such as rationality.  
To describe society, the metaphor of an aperiodic crystal  
is most appropriate. Unlike Latour’s network, the crystal  
model allows us to explicate significantly more ontological  
moments related to the density of society, due to the fact that  
the crystal has more degrees of freedom or, in other words, it  
is described by a larger number of parameters. The concept of  
There are many similarities between society and a crystal,  
and one of them is indisputable: external homogeneity speaks  
about integrity and some density, but if we scale down, we will  
inevitably come to an image where homogeneity decays, and  
we observe emptiness in the crystal with singular points of  
atoms, and in society - emptiness with singular units of people.  
In addition, a social crystal is more like a liquid crystal, since  
it is continuously transforming or, as Latour puts it,  
“reassembles”.  
3
Personality and the society  
Society and personality change each other in the process  
of mutual influence. The personality evolves by interacting  
with society through the tools of various actors that the person  
currently represents. “The results obtained represent a serious  
evidence in favor of the hypothesis of cultural intelligence”  
(
7). These groups, actors, systematized in one way or another,  
at different levels of the hierarchy, subsequently fractal, are  
created through the willful efforts of certain individuals.  
Actors can be described using a number of parameters  
(
general geography, internal rules, laws). But, in addition to  
this, an arbitrarily taken system of a natural or artificial  
character has co-phase character. This is the seemingly  
insignificant element, which organizes chaos in order, which  
distinguishes one from the other. The personality that has  
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Journal of Environmental Treatment Techniques  
2019, Volume 7, Issue 4, Pages: 647-653  
formed the group determines the co-phase character of the  
actor, its idea. In the co-phase character, the principle is laid  
down, which unites the elements into the system and  
determines its evolution (for example, "who was nothing, will  
become everything").  
called the “Darwinian” stage, since the changes that are not  
selected are cut off at this stage due to the “immunity” of  
tradition. It is these periods that Latour proposes to define  
through the "sociology of the social" and suggests that it is the  
social sciences that study them, when the society is  
homogeneous and most rational. But at a certain moment,  
some hidden, uncontrollable factors, or forces that lead the  
actor to the stage of Chaos begin to show up. The stage of  
Chaos has an ontological meaning: in the absence of this stage,  
the rebuilding of the social would be difficult, just like it is  
difficult for a moving vehicle to be moved from its trajectory.  
A. Toynbee gives many examples of different stages: “All  
primitive societies that have come down to us in a static state  
were once in motion; and all societies that have become  
civilizations, sooner or later, will come to a static state in one  
way or another ”(13). The main metaphor used by Toynbee is  
“Challenge and Response”. It is the force that brings the  
system out of the Harmonic stage and moves it into a state of  
chaos, it is the challenge to the existing social group. As shown  
by Toynbee, it can be of a different nature and different with  
respect to the system, i.e. both external and internal. In a social  
system, an internal factor may be, for example, fatigue from  
the monotony of life within the framework of established laws,  
which provokes discontent. Such a situation is described in  
Dostoevsky’s novel “Demons”, where society is “tired” of the  
monarchy, as a form of state organization, and forces in the  
form of the movement of "Narodnaya volya" de-phase the  
state. Climate change or resource depletion can be an external  
factor. Similarly, under the influence of external and internal  
forces, the nonlinear oscillator evolves. If we imagine an  
oscillating load on a spring, then the reason for its transition  
from the Harmonic to Chaotic may be both the fatigue of the  
metal of the spring, and the draft in the room where the load is  
suspended, leading the pendulum out of the coordinated mode  
and further to the parametric resonance. But before that, the  
system enters a chaotic, disharmonic period.  
At this stage, the role of the individual is also irrelevant.  
During this period, each individual from the social group exists  
separately, until the next synthesis, when the group acquires a  
new phase structure. During this period of instability, the  
system appears at the bifurcation point. There are many  
directions for further development, and all of them are  
associated with any individual who is able to take a social  
group out of this state. Within society, there is a multi-vector,  
active search for a new personality, on which all further  
evolution will depend for some time. The system of a nonlinear  
oscillator, being in a chaotic motion, also comes to a new  
stable position over time, in which the unbalanced forces self-  
organize. Entering a new level goes on singularly, non-  
analytically, which, in addition to repeatability, is one of the  
signs of fractal.  
Below, the stages of the evolution of the actor are  
considered. In the article "Analytical and synthetic stages of  
evolution of arbitrary systems: ontological features and  
characteristics" (11) it was shown that an arbitrary quasi-  
closed system behaves like a nonlinear oscillator (a pendulum,  
an electron rotating around a nucleus, a planet, etc.). An  
ordinary linear oscillator is similar to a pendulum; it defines  
the harmonic stage of the evolution of a system when it can  
oscillate forever. The nonlinear pendulum, in contrast to the  
ordinary one, behaves in a harmonious way only for a certain  
period, and then at some point the forces of external or internal  
nature, which are not significant at first glance, begin to have  
an effect. In general, systems behave similarly to a nonlinear  
pendulum, differing from each other only in scale and  
characteristic time of a harmonic period (decay time). At some  
point, the pendulum system loses its co-phase character and  
begins to move chaotically, and after some time "leaps" into  
the new stable trajectory. The functional “jump” has a singular  
form. “The evolutionary process is implemented in a sequence  
of creative acts (timeless leaps)” (10).  
In general, the evolution of an actor can be divided into  
four stages. The first stage is the stage of Synthesis of the  
system, the stage of formation of the actor. Any of the actors  
is formatted by someone - the family, the society of book  
lovers, the party, and the state have their leader and their  
fundamental metaphor or, to put it differently, their main  
slogan. At the stage of the formation of the system, the role of  
the personality prevails over the society, when the will and  
charisma of the individual are able to lead. On the basis of the  
proclaimed slogan (for example, the elitism of a nation), the  
basic parameters of the system are formed - social laws  
determining its existence. After this stage, the actor enters the  
second one, the Transitional stage, when the system internally  
adapts the newly created structure. At this time, the system  
parameters may undergo significant changes; the laws  
governing the actor are changing. This is the period when the  
individual elements of the system are “attuned” to each other,  
and, borrowing the term from radioactivity, this period can be  
called the “half-life”, because by the end of this period the  
system informatively no longer makes sense. During this  
stage, the stability of the system is at its maximum as it has not  
yet lost the impulse formed by the synthesis of the actor. And  
it is for this reason, as we believe, that the genesis of the next  
actor should occur no earlier than the end of the Transitional  
phase. During this time, the universe absorbs the newly formed  
actor into the general context, by “memorizing” it. As part of  
the metaphor of the “world mind”, this is a period of  
memorization, with the memory of an actor having a key role  
in its rationality.  
The next stage is the stage of synthesis, when a new leader  
creates a new metaphor - a new slogan forming new laws. At  
this stage, the role of the individual becomes prevalent again.  
In one way or another, society is involved in the formation of  
laws. And further the system evolves according to the order  
described above. The described order makes it possible to  
critically look on a long-standing dispute between supporters  
of voluntarism and fatalism (8) and show its groundlessness  
because each doctrine has its own meaning at a certain stage.  
At the point of bifurcation, before the beginning of the  
synthesis of a new actor, voluntarism prevails; on the contrary,  
The next (informationally poor) stage is the Harmonic  
stage, when the system oscillates between two points  
determined by the inertia of society and its activity. At this  
stage, the role of the individual is irrelevant, the society is  
governed by laws, traditions are formed, which are  
harmoniously corrected by criticism. All changes that could  
lead to significant differences are foreseen by the system and  
are prevented. This period of the actor’s existence can be  
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2019, Volume 7, Issue 4, Pages: 647-653  
fatalism dominates the Harmonic stage. Of course, one can  
always expand the discourse and consider these doctrines  
globally, throughout history, and then it is necessary to  
recognize a certain fatal sense of the increasing complexity in  
the process of the evolution of society and the corresponding  
emergence of new actors. This shows a certain equifinality of  
evolution and an isomorphism of systems described by one  
number of parameters and one level of complexity (no matter  
how the story goes, an actor with a certain complexity should  
appear in it).  
The metaphor of a non-linear oscillator explicates the  
dialectics of a person and society: the society carries out a  
search for a person who can lead it out of chaos, but the chosen  
way determines the person. Personality is the phasing  
component that transforms a non-linear oscillator into a new  
trajectory (attractor), the personality determines the type of co-  
phasing.  
began, the civil strife started, and then a synthesis took place,  
and systems with a higher level of complexity appeared - tribes  
were the first actors, with a low level of complexity  
(ontologically, symbiosis means the emergence of a structure  
with more favorable energy condition - for example, it is easier  
to hunt together in a tribe). And for several hundred thousand  
years, the tribes interacted weakly with each other, since the  
populations were still small, and any interaction ended in war.  
But the beginning of sociality was laid, the movement of  
primitive people from the forest to the savannahs and the  
increase in their number led to the division of labor and the  
need for the emergence of language. “The more hominids  
advanced in savannahs, the greater the demand for the  
development of a communication system was” (4). This  
period, returning to the crystal metaphor, has the form of a  
“rarefied, weakly interacting social gas,” and therefore the  
formation of a crystal is not yet possible. Humankind was in  
such a potential state for a very long time, until pressure, due  
to an increase in population, caused it to start “condensing”  
and led to the emergence of “social crystals” – actors of a  
different level of complexity  the cities.  
The total duration of the cycles is determined by the level  
of co-phasing and the Transitional stage (how well the separate  
parts of the actor will “attune” to each other): for a state it can  
be centuries, for a city - a decade, for a political party - years.  
The social is not a special area of reality, but the principle of  
connection” (5). In our opinion, the principle of connection  
determines the reality that has different scales. These time  
spans, of course, are conditional. Toynbee tried to find a  
structure that could exist forever. But, as the author of the  
present paper substantiates in “Wondering, Creativity, and  
Order” (12), this contradicts the revised anthropic principle -  
the task of the evolution of nature was not just to produce man,  
but man capable of accelerating evolution. “Speaking in  
everyday language, no morality can overcome boredom,  
which leads to an active search for events” (9)  
5
The fractal nature of humanity  
With the advent of society, culture began to actively  
evolve. Through culture, man protected himself from the fear  
of the incomprehensibility of the surrounding nature, while  
influencing it, forming a biocenosis. However, a reverse  
reaction took place: while changing, the biocenosis changed  
the anthropology of man. ‘Man – society’ is a system with  
feedback. “Being a cumulative anti-entropic mechanism,  
culture should change in accordance with the needs of a non-  
equilibrium system” (9). For this reason, serious  
anthropological changes took place at the nodal moments of  
the “rebuilding” of social crystals, and since man is the “atom”  
of such a crystal, the growth of a social crystal and human  
ontogenesis inevitably correlated with each other. And this  
correlation is connected with the complication of the topology  
of consciousness. “The catastrophic collapses were followed  
not by the restoration of the system, but by qualitative leaps in  
complexity, intellectuality and the level of disequilibrium of  
the biosphere with the physical environment” (9).  
By increasing the population, mankind slowly but steadily  
transforms from a state of “gas” into a “liquid” state (density  
and pressure increase), and due to trade and military contacts,  
its co-phase character is formed, the “social fluid” acquires a  
structure, “despite the increasing power of tools, first of all,  
combat weapons, and periodically exacerbated anthropogenic  
crises, in the long term, the population of the earth multiplied”  
(9). As the population of the earth grows, its “condensation”  
begins and the growth of the first social crystals - the ancient  
empires - occurs. At the time of the fourth - third millennium  
BC the land is still sparsely populated by people, the tribes  
exist separately, and therefore the formation of social crystals  
occurs locally, just as when the temperature in the salt solution  
decreases, crystals begin to form in several places. At the same  
time, the first signs of fractality began to appear - very often  
empires grew, cloning their central structure in the occupied  
territories. They are scattered and still weakly interact with  
each other. One can retrospectively observe the birth,  
existence and decay of each of them, which is isomorphic to  
the synthesis, the harmonic and chaotic period of the evolution  
of a nonlinear oscillator. The subsequent synthesis was more  
4
The beginning of the social. The first actors  
In the work “Analytical and synthetic stages of evolution  
of arbitrary systems: ontological features and characteristics”  
11), the definition of the “eigenvalue” of a system was  
(
proposed meaning a stable, harmonious, and most economical  
state, with given parameters describing the system (evolution  
in physics is determined by the principle of least action).  
Sparta is one of the clearest examples of a steady stage.  
Although it was the most militarized state, but at the same time  
it was the most peaceful one. At its Harmonic stage, the system  
oscillates trying to find the most “comfortable” position (from  
the point of view of population, aggressiveness, militarization,  
etc.), but, due to the presence of inertia, it misses this state. For  
clarity, you can imagine an atom and the eigenvalues of the  
system "electron - nucleus." The electron oscillates around the  
nucleus, trying to "fall" on it. In the process of evolution, a  
system may become more complex. In a similar way, a  
molecule is formed: for some time an atom exists as a stable  
system, but under the influence of a neighboring atom its own  
value becomes unstable, resulting in the synthesis of a  
molecule with a socialized electron and a new eigenvalue of  
the system. Simple molecules can connect to more complex  
ones - the newly formed system, like symbiosis, has a more  
favorable socialized state, and, finally, the next level of such  
growth is the formation of a crystal.  
In a certain period, the primitive family as a system  
occupied a relatively stable state, determined by external and  
internal parameters (habitat, level of culture). At some point,  
when interacting with neighboring families, a stage of chaos  
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2019, Volume 7, Issue 4, Pages: 647-653  
often caused not so much by internal and natural causes, as by  
interaction with other actors. If in the first case, a series of  
transformations still led to extinction (Egyptian civilization),  
in the second case, many civilizations were reborn at a higher  
level. Increased complexity is often associated with the  
interaction of the system with other systems. The emergence  
of a more complex system (a larger civilization) is associated  
with lower energy costs (symbiosis). There are many such  
cases in history: the Sumerian civilization, the Franco-Roman  
Empire, the Ottoman Empire, etc. The rapid formation of a  
larger empire resulted in fractality.  
It is necessary to pay attention to the fact that  
anthropological changes concern only the co-phased part of  
humanity, only there the formation of new actors and larger  
social crystals takes place. It is well-known that a crystal grows  
along a certain axis; this axis is determined by external  
conditions, the readiness of the medium for crystallization.  
Such an axis was the time axis of K. Jaspers, described in the  
work “The Meaning and Purpose of History (16). This period  
is characterized by the formation of a crystal with the first level  
of anthropological symmetry. During this period, a large  
number of philosophers and prophets were born, which, on the  
one hand, is surprising, and quite natural, on the other hand.  
account that the period that takes time from the moment of  
synthesis to the moment of entering the stage of chaos is  
determined by the level of co-phasing and the “half-life”. For  
example, Confucius brought the idea of a family to the state  
level, giving rise to a fractal (the state at all levels of the  
hierarchy was like an ordinary family) with such harmonious  
principles of existence that they could keep the Chinese  
civilization intact for two and a half thousand years. But the  
same factor restrained its evolution. For example, in Europe,  
where active interactions of various social systems took place,  
leading to disintegration and the formation of new actors,  
many metamorphoses took place during the same two and a  
half thousand years, which brought Europe forward.  
At the same time, there is a significant change - the scale  
is growing. Now, starting with the great navigators, the co-  
phased system geographically grows to the scale of the entire  
globe. The complexity of individual actors and systems of  
humanity is growing. Crystallization occurs everywhere, at the  
same time increasing density, pressure and changes in  
anthropological symmetry, which is associated with such a  
concept as wisdom. And, first of all, this change concerns the  
understanding of the possibility that the next war will be the  
last. Wisdom, as an idea of the consequences of the application  
of knowledge, began to take shape a long time ago: “forms of  
intertribal symbiosis and collective exploitation supplanted  
Paleolithic genocide and cannibalism” (9). But the truly  
humanistic ideas have appeared only recently. And,  
apparently, this is connected with the unification of humanity  
into a single system, and, accordingly, the principle: “to unite,  
one must separate” no longer works. There is no one to  
separate from: “The Nazis, the most odious of the monsters of  
the century, even under the threat of unconditional defeat and  
personal death, still did not dare to massively use military  
chemical shells” (9). If previous actors, interacting through  
military force, tried to forcibly create new actors with a more  
favorable energy state (the phenomenon which is called  
symbiosis in nature), now this idea has almost exhausted itself.  
If earlier actors were social systems of open type, and  
according to the laws of synergy it allowed them to evolve,  
then, after the unification of all mankind, the global system  
was closed, and now a new strategy is needed, perhaps a  
transformed religion. “As a result of simple multiplication of  
population, we came to the current situation in order to  
collectively form an almost solid mass of hominized  
substance” (15). As mentioned above, for the last two thousand  
years, religion has been one of the most significant phasing  
forces forming global actors. Attitude towards religion along  
with the unification of all mankind has changed, religion has  
fulfilled the mission of unification. New theologians (Johann  
Baptist Metz, Jacques Luc Morion) call for the destruction of  
the church as a global religious actor and for the individual  
imitation of Christ.  
Confucius and Lao Tzu then lived in China, all areas of  
Chinese philosophy arose, Mo Tzu, Chuang Tzu, Le Tzu, and  
countless other philosophers worked at that time. In India, the  
Upanishads arose, the Buddha lived; in philosophy, both in  
India and in China, all the possibilities of philosophical  
comprehension of reality were considered, even skepticism,  
materialism, sophistry and nihilism; in Iran, Zarathustra taught  
about a world where good and evil are fighting; in Palestine,  
the prophets spoke Elijah, Isaiah, Jeremiah, and the Second  
Isaiah; in Greece it was the time of Homer and such  
philosophers as Parmenides, Heraclitus, Plato, the tragedians,  
Thucydides and Archimedes” (16).  
After a series of metamorphoses, when the Indo-European  
crystal was reassembled several times (as already mentioned,  
the social crystal has a rather liquid structure, but the term  
reassembly” is, in our opinion, the most successful), the next  
characteristic crystal axis has appeared, which has changed its  
direction ninety degrees. It was formed from south to north,  
and, like the first one, it started from the Mediterranean, but  
now through France and Germany, to Russia and Sweden. It is  
necessary to clarify that only the co-phased part of humanity  
participates in the axial transformation, and, accordingly, the  
countries participating in the previous time axis; the  
civilizations of India and China remained unaffected at this  
stage. The actors of these civilizations did not stop to exist but  
they existed autonomously, and should be considered  
separately. This is a very important moment that verifies our  
assumption - only co-phased parts exist as a whole and evolve.  
The phasing force in this case was Catholicism and Orthodoxy,  
spreading from south to north parallel to each other.  
And this is the main reason why countries in different parts  
of the Earth found themselves at different hierarchical levels  
in the process of evolution. The speed of evolution is  
determined by the number of syntheses of new actors, which,  
in turn, are determined by the number and quality of  
interactions of actors, i.e. by population density and the idea  
of co-phasing. And in this regard, Latour is absolutely right,  
calling for an interest only in the sociology of associations, i.e.  
to the number of reassemblies. But it is necessary to take into  
A man’s desire to reach God is reminiscent of an attempt  
to build a tower on earth to get closer to the sun. On the one  
hand, being on the tower, one intuitively feels being closer to  
the sun, on the other hand, the mind prompts the thought of the  
futility of the plan. But this construction was not meaningless,  
because with the construction of each new storey, humanity  
can look further and further into space and in time, and  
discover many correlative processes. For example, the  
complexity of a social crystal, consisting of a multitude of  
actors, is proportional to the size of the population and the  
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2019, Volume 7, Issue 4, Pages: 647-653  
number of connections between the people; according to “the  
findings of American anthropologists who studied the  
information complexity of cultures, the culture strongly  
correlates with the logarithm of the number of inhabitants of  
the largest of the settlements and, therefore, grows in  
proportion to the number of society members” (9). And,  
accordingly, this thought automatically leads to the idea of  
humanism: every life is valuable, it is one of the elements of  
the overall evolutionary process, and the loss of any life can  
lead to a significant slowdown.  
One of the most important parameters of complexity,  
manifested in the unification of humanity into a single system,  
was its multiple fractality. It has already been mentioned that  
the fractal structure appears when the crystal growth rate is  
high. Now there is a fast global reassembly leading to global  
centralization. An essential quality of fractality is the  
possession of a dimension exceeding the topological one. (If a  
couple of centuries ago the factory worker was a linear  
representative of the social structure - the factory, now he has  
many connections). An extremely complex hierarchy has  
appeared only in recent decades, when each person participates  
simultaneously in a large number of actors: the state, a political  
party, an enterprise, an insurance company, a sports club, a  
family, etc. This multiplicity of fractal layers indicates the  
aperiodicity of the social crystal - the locally observed  
structure decays with increasing scale, when the possibility of  
explication of all connections emerges. And each social  
system leaves its mark in the development of the elementary  
actor - the man. Just as ontogenesis repeats phylogenesis on a  
smaller scale, so the topology of consciousness preserves the  
social structures that occurred in history.  
spectator, transitioning into the state of being “presented”  
before nature. Thus, humanity has separated from matter,  
being presented before it. Perhaps, Heidegger was right, but,  
in our opinion, there is nothing bad in it, this is a natural way  
of evolution - man fulfilled his function as seen previously, in  
the view of disunity, just as the cell once did. At the next stage,  
the creative impulse should become a social act, which is the  
development of the ideas of Henri Bergson and his work  
“Creative Evolution” (2) in order to free humanity from  
materiality and temporality. Then the “Brownian movement”  
of individual people’s thinking will unite into one common  
thought of the world mind: “putting it roughly, the thinking  
Singularity is formed, the psyche is freed from the matter, and  
a big blissout takes place - the very state that God would  
create (9). And this thought of Nazaretyan is no longer  
groundless; the issue that modern physicists study (the bound  
quantum states) suggests a speedy instantaneous transmission  
of information and a possible collaboration of all mankind.  
And then materiality will really fade into the background.  
References  
1. Arutyunova, N.D. Metaphor and discourse. Theory of metaphor.  
Moscow: Progress. 1990; 5-32.  
2. Bergson, A. Creative evolutio. Moscow: Academic project. 2015;  
320.  
3. Bertalanffy, Karl Ludwig von. Research on the general theory of  
systems. Moscow: Progress Publishing House. 1969; 520.  
4. Burlak, S. The Origin of the Language. Moscow: Astrel:  
CORPUS. 2012; 464.  
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Latour, B. Rebuilding the social: an introduction to the actor-  
network theory. Moscow: Higher School of Economics  
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Mandelbrot, B. The Fractal Geometry of Nature. Moscow:  
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Markov, A. The evolution of man. Neurons and the soul. Moscow:  
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6
Conclusion  
The fractal nature of man and humanity, shown in this  
paper, suggests that, perhaps, after overcoming a certain level  
of complexity (associated with population growth, its density  
and actor connections), humanity will become a single  
thinking organism. Just like the evolution of the brain, once  
overcame the complexity threshold, due to its growth, the  
complication of topology and the emergence of long-distance  
connections, so the evolution of society, due to the increase of  
population and the fractality of actors providing long-distance  
connections will evolve to the world mind. It is obvious that  
long-distance communications in society at the moment are  
largely carried out due to the Internet, as people use it on a  
permanent basis. Some symptoms of the world mind are  
observed in the collaborations of scientists, such as the joint  
discovery of the Higgs boson using the Large Hadron Collider  
or the breakthrough discoveries of geneticists. But just as a  
person became rational, due to his rise above his activity and  
due to his metaphorical nature, which allowed him to transfer  
meanings and combine them, so the center of the mind of  
humanity must be outside of society. And then it will be able to  
combine various actors with each other. All these facts give  
confidence in the imminent emergence of the world mind and,  
as a result, the noosphere of a higher order.  
2
018; 6; 104‒114.  
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Nazaretyan, A.P. Civilizational crises in the context of universal  
history. Moscow: Mir. 2004; 367.  
10. Petrenko, V.F., Suprun, A.P. Methodological intersections of  
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The future  
Martin Heidegger, defining the current state of affairs,  
wrote about the decline of European philosophy. He believed  
that the decline began with Plato and his “ideas”, when a man  
became opposed to nature, separated from her and became a  
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