ADD new pic2.51 + format fixes

src/00_methodological_introduction.md

@@ -22,7 +22,7 @@ This simple example shows that when we need to compare objects from the micro-,
 
 There is one more small detail that is not unreasonable to remind those readers who are not engaged in scientific work related to precise measurements. The fact is that if the size of an atom is 100,000 times smaller than the size of a living cell, and the cell is 100,000 times smaller than the size of a human being, this record still looks convenient. However, what about comparing the size of a proton to the size of the Galaxy? The proton is 100 000 000 000 000 000 000 000 000 000 000 000 times smaller.
 
-Here, math offers a simplification. The above number can be written as 1035 , where the degree of ten indicates the number of zeros.
+Here, math offers a simplification. The above number can be written as \\(10^{35}\\) , where the degree of ten indicates the number of zeros.
 
 To make life even simpler, mathematics switches from degree expressions to logarithmic expressions. Then the above-mentioned number \\(10^{35}\\) converted through the decimal logarithm to the number 35: 
 

src/02_the_s_order_of_the_universe.md

@@ -39,7 +39,7 @@ However, to make a final conclusion, we have to make a fascinating journey into
 
 \* In experimental physics it was possible to penetrate only to the depth of \\(10^{-17}\\) cm, but the reliable boundaries of experimental study of our world are the scales of nucleons \- \\(10^{-13}\\) cm (proton, neutron). Therefore, the author warns in advance that all conclusions, schemes, and models which in this paper refer to the range \\(10^{-33}\\)… \\(10^{-17}\\) cm are extrapolations.
 
-In this case, the entire range on the S-axis must be increased to a value of 61.8 orders of magnitude. What lies beyond this interval is a purely theoretical question, and its study often leads to paradoxical conclusions (see, in particular, M. A. Markovs’s model of the "Micro-Macrosymmetric Universe”3). We set ourselves a different task: to *see how the internal ladder of the Universe scale is organized, on the steps of which elementary particles, atoms, cells, animals, planets, stars, galaxies, and their all kinds of compounds and systems are located*. To look with the purpose of finding out whether the large-scale order of the world order exists or does not exist. At first glance, this question is devoid of any scientific sense \- so different systems are juxtaposed against each other. That is why only in popular scientific works sometimes there are pictures (see, for example, the book by B. A. Vorontsov-Velyaminov4), on which the scales of atoms, molecules, cities, solar system, galaxies, and other objects are compared. These pictures are intended to make the novice scientist realize that the range of sizes of objects studied by science is enormous, and partly for this reason *each scale slice of our world requires a separate study*. It is true that science once encountered a strange scale order, which is difficult to give any explanation, but which is also impossible to ignore. Back at the beginning of the century, Arthur Eddington and Paul Ehrenfest discovered a unique large-scale regularity: it ***turned out that a reasonable combination of various cosmological constants results in the same dimensionless number close to 1040 or its multiple***. This problem attracted the attention of all famous physicists, such as Einstein, Gamow, Dirac, and other scientists who dealt with the worldview problems of the Universe structure. It turned out that the obtained result *did not follow* from any theory, and many years of attempts to find an explanation for it showed that it *could not be deduced* from any known physical theory.
+In this case, the entire range on the S-axis must be increased to a value of 61.8 orders of magnitude. What lies beyond this interval is a purely theoretical question, and its study often leads to paradoxical conclusions (see, in particular, M. A. Markovs’s model of the "Micro-Macrosymmetric Universe”3). We set ourselves a different task: to *see how the internal ladder of the Universe scale is organized, on the steps of which elementary particles, atoms, cells, animals, planets, stars, galaxies, and their all kinds of compounds and systems are located*. To look with the purpose of finding out whether the large-scale order of the world order exists or does not exist. At first glance, this question is devoid of any scientific sense \- so different systems are juxtaposed against each other. That is why only in popular scientific works sometimes there are pictures (see, for example, the book by B. A. Vorontsov-Velyaminov4), on which the scales of atoms, molecules, cities, solar system, galaxies, and other objects are compared. These pictures are intended to make the novice scientist realize that the range of sizes of objects studied by science is enormous, and partly for this reason *each scale slice of our world requires a separate study*. It is true that science once encountered a strange scale order, which is difficult to give any explanation, but which is also impossible to ignore. Back at the beginning of the century, Arthur Eddington and Paul Ehrenfest discovered a unique large-scale regularity: it ***turned out that a reasonable combination of various cosmological constants results in the same dimensionless number close to \\(10^{40}\\) or its multiple***. This problem attracted the attention of all famous physicists, such as Einstein, Gamow, Dirac, and other scientists who dealt with the worldview problems of the Universe structure. It turned out that the obtained result *did not follow* from any theory, and many years of attempts to find an explanation for it showed that it *could not be deduced* from any known physical theory.
 
 The problem is called the "BIG NUMBER PROBLEM". It consists in the fact that there are mysterious numerical coincidences of some dimensionless numerical relations composed of atomic constants, the speed of light and the following cosmological constants: the age of the Universe tp , the radius of the Universe Rp , the average density of matter in the Universe ρp, and the gravitational constant G. It turned out that various meaningful combinations of these constants give surprisingly the same dimensionless value:
 
@@ -99,7 +99,7 @@ $$
 
 As we see, the scale interval of forty orders of magnitude, which stretched *from the proton to the Metagalaxy*, is peculiar not only to the ratio of sizes, but also to the ratio of masses, forces, and times. For some time these incomprehensible ratios remained the subject of a separate study. In the 1930s, they were paid close attention to by Paul Dirac, who realized that they are not accidental but show a deep connection between cosmology, gravitation, and electricity. He hypothesized that physical constants change with time, and formulated the following postulate \- Dirac's PRINCIPLE:
 
-> Any two very large (about 1040) dimensionless physical quantities are related by a simple mathematical relation in which the coefficients are quantities of the order of one.
+> Any two very large (about \\(10^{40}\\)) dimensionless physical quantities are related by a simple mathematical relation in which the coefficients are quantities of the order of one.
 
 Since the relation (1.5) also obeys this principle, which includes the age of the universe, then the question immediately arose:
 
@@ -135,4 +135,4 @@ Since the order can be determined only on the basis of quantitative criteria, it
 
 ***Fourthly***, if all objects and processes in the Universe are united by a ***common harmonic principle, then it is obliged to manifest itself through the distribution of objects by size and the*** ***distribution of field relations through wavelengths***. If there is no harmony in the Universe, then chaos must reign in the arrangement of all objects on the scale.
 
-Using the most common ***reference data on the sizes of the objects of the Universe***, I began to gradually place them on the scale of decimal logarithms (S-axis), and here a striking regularity ***appeared***: it turned ***out that the most typical objects of the Universe occupy in their average sizes on the S-axis places strictly through 105***. Moreover, many key system properties of the Universe objects (structural and dynamical) have similarity with coefficients 1010, 1015, and 1020. These results were first reported at the First Conference on Classification Theory in Borok in 1979 and published in the popular science journal "Knowledge is Power10. Then two more publications 11, 12  followed, which summarized the main regularities of the discovered phenomenon. Let us now consider the revealed regularity in more detail.
+Using the most common ***reference data on the sizes of the objects of the Universe***, I began to gradually place them on the scale of decimal logarithms (S-axis), and here a striking regularity ***appeared***: it turned ***out that the most typical objects of the Universe occupy in their average sizes on the S-axis places strictly through \\(10^{5}\\)***. Moreover, many key system properties of the Universe objects (structural and dynamical) have similarity with coefficients \\(10^{10}\\), \\(10^{15}\\) and \\(10^{20}\\). These results were first reported at the First Conference on Classification Theory in Borok in 1979 and published in the popular science journal "Knowledge is Power10. Then two more publications 11, 12  followed, which summarized the main regularities of the discovered phenomenon. Let us now consider the revealed regularity in more detail.

src/03_periodicity_of_the_s_structure_of_the_universe.md

@@ -71,7 +71,7 @@ Let us return to the problem of large numbers. We see that this unique regularit
 [^note-3]: For simplicity of explanation of the main idea, two models of the scale symmetry of the Universe are used in this paper: a *simplified model*, or rounded to integer orders, and a *refined model* using hundredths of an order. The *simplified model* is convenient for clarification of the basic regularities of scale symmetry, and the refined model is convenient for verification of phenomenological data. At the same time, the simplified model uses the values of the size of the maximon \- \\(10^{-33}\\) cm and the size of the Metagalaxy \- \\(10^{27}\\) cm (which corresponds to its age of about 1 billion years), i.e., it operates with the S-interval \\([-33; +27]\\) with a length of 60 orders of magnitude.  
 *The refined model* uses size values of \\(10^{-32.8}\\) cm and \\(10^{28.2}\\) cm, respectively, i.e., considers the S-interval \\([-32.8; +28.2]\\) with a length of 61 orders of magnitude. Such replacement of one interval by another in order to emphasize the reader's attention on the main points of the author's idea gives an error of only 1/60, i.e., only 1.5%.
 
-True, it may seem that the pattern of LARGE NUMBERS has a more general status, since it exhibits regularities in several parameters rather than in single dimensions. The author's preliminary study, however, has shown that the discovered dimensionless periodicity with a prime factor of 105 is peculiar to all the main parameters of the Universe: times, masses, forces, etc. The fact that the main representatives of the MASHABLE classes [^note-4] of systems are located on the S-axis strictly periodically, with a period that does not change during twelve operations of its postponement from the leftmost point, and the accuracy is more than 10%, ***testifies to the presence of strict orderliness in the scale hierarchy of the objects of the Universe***. Although we can currently judge the values of the average sizes of such objects as the nuclei of stars and the nuclei of galaxies with a low degree of accuracy, our study shows that, with further refinement of the sizes, the accuracy of their coincidence with the model sizes (taking into account the revealed bimodality in the distributions14) only increases.
+True, it may seem that the pattern of LARGE NUMBERS has a more general status, since it exhibits regularities in several parameters rather than in single dimensions. The author's preliminary study, however, has shown that the discovered dimensionless periodicity with a prime factor of \\(10^{5}\\) is peculiar to all the main parameters of the Universe: times, masses, forces, etc. The fact that the main representatives of the MASHABLE classes [^note-4] of systems are located on the S-axis strictly periodically, with a period that does not change during twelve operations of its postponement from the leftmost point, and the accuracy is more than 10%, ***testifies to the presence of strict orderliness in the scale hierarchy of the objects of the Universe***. Although we can currently judge the values of the average sizes of such objects as the nuclei of stars and the nuclei of galaxies with a low degree of accuracy, our study shows that, with further refinement of the sizes, the accuracy of their coincidence with the model sizes (taking into account the revealed bimodality in the distributions14) only increases.
 
 [^note-4]: A clear classification will be given later, see Fig. 1.7.
 
@@ -121,7 +121,7 @@ Since the deviation of the proton size from the theoretical value does not excee
 
 SCALE CLASS 7\. Another step to the right gives us the value 1.6158 × \\(10^{2}\\) cm. The average human height until the beginning of the XXI century was quite close to 1.6 m, in our time it has increased by 4-5 cm (most likely due to hormonal additives to animal food). But it hardly deviates from the average value of 1.62 cm by more than ±10 cm. Therefore, with a large margin of error we can assume that the error is less than ±0.1 m, and this will give us a deviation from the calculated value of 0.02 orders of magnitude. Taking into account that the limit deviation is 2.5 orders of magnitude, the average human height is determined with an accuracy above 0.4%. It is important to note that ***three known cosmological constants*** (G, ħ, c) and one discovered by the author, were ***used in the calculation of the average human height***. Let us consider this dimension in more detail. Obviously, the obtained error is so insignificant that the non-randomness of man's growth in the universal hierarchy can be considered strictly proved. If we take into account that deviations could accumulate in the periodic series of sizes (to get to the man, we made 7 such steps, and the deviations were not accumulated, but mutually compensated), and if we take into account that the real average height deviates from the value of 1.6158 meters by less than ±10 centimeters, then the hit of the man's height in the general periodic series of hierarchical floors can be considered simply ideal.
 
-It is impossible to attribute this fact to thoughtless combinations by constants. After all, the fundamental length obtained by M. Planck more than 100 years ago from three physical constants, is considered in science as one of the most important dimensional constants of our world. And the dimensionless coefficient 105, derived by the author, is universal for all basic objects of the Universe, with its help a ***number of dimensions is*** built, in which the proton, hydrogen, and all other significant objects are exactly located.
+It is impossible to attribute this fact to thoughtless combinations by constants. After all, the fundamental length obtained by M. Planck more than 100 years ago from three physical constants, is considered in science as one of the most important dimensional constants of our world. And the dimensionless coefficient \\(10^{5}\\), derived by the author, is universal for all basic objects of the Universe, with its help a ***number of dimensions is*** built, in which the proton, hydrogen, and all other significant objects are exactly located.
 
 Let's assign to the calculated cosmological value of the average height of a man the status of the average Theoretical Universal Human Height (\\(L_{\text{HSU}}\\)):
 
@@ -198,7 +198,7 @@ How can we explain the fact that for the Earth's orbit, the dimensions of which
 
 Hence, we can PROVE that on the S-axis the *conversion factor of characteristic **dimensions** into characteristic **times** is the **speed of light***.
 
-Further. The coefficient 105 can also be found in the ***relations of field interactions***. Thus, the experimentally found constant of the four-fermion interaction, which according to the Fermi model can be considered as a weak interaction, can be written in the form [^ref-15]:
+Further. The coefficient \\(10^{5}\\) can also be found in the ***relations of field interactions***. Thus, the experimentally found constant of the four-fermion interaction, which according to the Fermi model can be considered as a weak interaction, can be written in the form [^ref-15]:
 
 [^ref-15]: Vladimirov Y. S. Space-time: explicit and hidden dimensions. Moscow: Nauka, 1989. С. 97.
 
@@ -208,7 +208,7 @@ $$
 
 where ћ is Planck's constant, c is the speed of light, and M is the mass of the nucleon.
 
-Another example from the field of microphysics. It has been calculated16 that the mass of a boson necessary to realize the so-called ***grand unification*** (all kinds of interactions) must be \\(10^{15}\\) times the mass of a proton, which ***on the mass scale axis*** corresponds to a threefold multiplication by the factor 105.
+Another example from the field of microphysics. It has been calculated16 that the mass of a boson necessary to realize the so-called ***grand unification*** (all kinds of interactions) must be \\(10^{15}\\) times the mass of a proton, which ***on the mass scale axis*** corresponds to a threefold multiplication by the factor \\(10^{5}\\).
 
 So, we see that the ratios not only of sizes, but also of other important parameters (times, masses...) of the most representative objects of the Universe often show the same dimensionless coefficient \- \\(10^{5}\\).
 

src/06_types_of_interactions_in_the_s_hierarchy_of_the_universe.md

@@ -16,7 +16,7 @@ I - IS THE MEGA-INTERVAL. When considering the interaction of stars and galaxies
 
 "Gravitational interaction differs from electromagnetic interaction in that all particles have masses of the same sign, including antiparticles. As a result, the role of the gravitational interaction, hopelessly weak in the world of elementary particles, increases in the transition to ever larger scales and absolutely dominates on the scale of the Universe [^note-1]. Therefore, if in small volumes ... magnetic forces can completely control the behavior of matter, then in a planet, star or galaxy as a whole this is no longer the case, and in even larger areas, significantly exceeding the size of individual galaxies, the dynamic role of the magnetic field is apparently negligible." [^ref-21]
 
-[^note-1]: When two protons interact, the electric forces are 1038 times greater than gravitational forces.
+[^note-1]: When two protons interact, the electric forces are \\(10^{38}\\) times greater than gravitational forces.
 
 II - MACRO INTERVAL. The whole macro-world in which man lives and acts is a world in which the main architect and builder is electromagnetism. Due to the fact that this force has equivalent "poles" \- attraction and repulsion, nature by means of a huge number of combinations of these forces builds an incredible number of types of systems at different scale levels (here the analogy with the binary language of computer programs is appropriate).
 
@@ -90,7 +90,7 @@ The degree of ten at ***point*** **B** (107.48cm) gives a cosmic size of 300 km,
 
 \-32.8 \+ 20.14 \- 3 \= \-3.8 \+ 60.42 \= 27.62.
 
-This degree (**27.62**) corresponds to a size of 4.2 x 1027 cm, which is at least a factor of 2 smaller than the theoretical cosmological size of the Metagalaxy.
+This degree (**27.62**) corresponds to a size of 4.2 x \\(10^{27}\\) cm, which is at least a factor of 2 smaller than the theoretical cosmological size of the Metagalaxy.
 
 However, it is not necessarily that the size of \\(10^{27.62}\\) cm is the size of the Metagalaxy. It is possible that this is only the boundary of gravitational forces \- a kind of GRAVITATIONAL HORIZON of the Metagalaxy, beyond which gravitation is no longer able to form any structures, and they are formed by other, "meta-metagalactic" forces, which, by the way, can, like strong interactions, occupy on the S-axis only 0.5 orders of magnitude, i.e. the range from 5 × \\(10^{27}\\) to 15 × \\(10^{27}\\) cm.
 

src/07_s_classifications_cells_of_5_10_and_15_orders_of_magnitude.md

@@ -169,7 +169,7 @@ However, we note that *Pluto's physical properties do not fall out of the scalin
 ![](./media/image79.jpg)
 *Fig. 1.15. S-classification of the planets of the Solar System. I - group of solid planets with density higher than 2 g/cm3. II - group of gaseous planets with density below 2 g/cm3. A scale periodicity of 0.5 orders of magnitude is evident*
 
-The question arises: is it a *coincidence that the solar system is so organized that, regardless of orbit, all planets with sizes less than 109.5 cm are solids and those with sizes greater than 109.5 cm are gaseous (star-like)*?
+The question arises: is it a *coincidence that the solar system is so organized that, regardless of orbit, all planets with sizes less than \\(10^{9.5}\\) cm are solids and those with sizes greater than \\(10^{9.5}\\) cm are gaseous (star-like)*?
 
 So, our PROPOSITION is reduced to the following: the ***place of a planet in three-dimensional space*** does not play the same essential role as ***its position in scale space***. According to our model, if the size of the planet corresponds to the class of star nuclei, it is a solid bod. If its size refers to the class of stars themselves, it is a gaseous body.
 
@@ -177,7 +177,7 @@ Our model also reveals an additional regularity (see Fig. 1.15), which is very d
 
 Based on traditional approaches, how can the obvious fact that the sizes of the two types of planets occupy on the S-axis two intervals of 0.5 orders of magnitude with an empty gap between them of another 0.5 orders of magnitude be explained? Could the fact that the S-axis crosses the EI at the point where solid planets like the Earth no longer occur and gaseous, star-like planets like Jupiter begin be passed by?
 
-Summarizing everything, we can PROPOSE that not only the planets of the Solar System, but also the ***planets of all systems of the Universe are divided into two classes similarly to the planets of the Solar System***. And ALL PLANETS OF THE UNIVERSE WHICH SIZE IS LESS THAN 109.5 cm, WILL BE LIKE PLANETS OF THE EARTH GROUP, AND ALL PLANETS WHICH SIZE IS LARGER THAN THIS RANGE, WILL HAVE A GAS-BRASED COMPOSITION.
+Summarizing everything, we can PROPOSE that not only the planets of the Solar System, but also the ***planets of all systems of the Universe are divided into two classes similarly to the planets of the Solar System***. And ALL PLANETS OF THE UNIVERSE WHICH SIZE IS LESS THAN \\(10^{9.5}\\) cm, WILL BE LIKE PLANETS OF THE EARTH GROUP, AND ALL PLANETS WHICH SIZE IS LARGER THAN THIS RANGE, WILL HAVE A GAS-BRASED COMPOSITION.
 
 By the way, Jupiter emits 60% more energy than it receives from the Sun, which is why it is often called "almost a star". This is not surprising from the point of view of the classification boundaries of the Stability Wave, because in terms of its size it already belongs to the star class (CLASS #9: from \\(10^{9.5}\\) cm to \\(10^{14.5}\\) cm).
 
@@ -247,7 +247,7 @@ We proceed from the FORMAL PROPOSITION that the last five-order class of galacti
 ![](./media/image71.jpg)
 *Fig. 1.17*
 
-Let us call the scale range from 1014.5 to 1028.2 cm the ***galactic scale range***, which is divided into two intervals of 5 orders and one interval of 3.7 orders.
+Let us call the scale range from \\(10^{14.5}\\) to \\(10^{28.2}\\) cm the ***galactic scale range***, which is divided into two intervals of 5 orders and one interval of 3.7 orders.
 
 ATOMS (CLASSES #4-6). In accordance with the scheme adopted above and the position on the S-axis of the central element of the atomic class proper - the hydrogen atom - the ***atomic scale range*** should have boundaries from \\(10^{-15.5}\\) to \\(10^{-0.5}\\) cm (see Fig. 1.17) and be subdivided into three classes of 5 orders of magnitude each:
 

src/10_macro_interval.md

@@ -88,7 +88,7 @@ In the world of *inorganic matter, the* return of monocentrism (though in a weak
 
 > For a better associative understanding of the problem, we will further use a new concept \- POTENTIAL STABILITY TROUGH, which corresponds to the lower part of the CU between the humps. Then there will be only 7 potential stability troughs (5 full troughs and 2 half-troughs at the edges of the S-interval) on the model of the HU (see Chapter II).
 
-We are talking about the discovered mysterious appearance of spherical shapes both among cosmic dust83 and in the dust of volcanic origin. The fact is that most dust of cosmic origin has an angular fragmentary shape, and meteorites of all sizes have a chaotic shape. In this long range from hundreds of angstroms to hundreds of kilometers, one never found any particular symmetry until one came across balls of cosmic origin (see Fig. 1.27A). It turned out that "the vast majority of background deposition balls are 20-60 μm in size "84 and almost all of them are between 10 and 100 μm in size. The number of balls deposited on Earth is conservatively estimated at 104 tons per year. The same balls have been found on the surface of the Moon. Balls of similar sizes have been found in volcanic dust, although the conditions of their formation are very far from the conditions of formation of space balls. So, ***nature creates spherical forms in the size range from 10 to 100 microns regardless of the conditions of formation and almost independently of the chemical composition***. This is especially surprising against the background of angular and typically polycentric structures for all crystalline matter in the range of 15 orders of the Macro-interval.
+We are talking about the discovered mysterious appearance of spherical shapes both among cosmic dust83 and in the dust of volcanic origin. The fact is that most dust of cosmic origin has an angular fragmentary shape, and meteorites of all sizes have a chaotic shape. In this long range from hundreds of angstroms to hundreds of kilometers, one never found any particular symmetry until one came across balls of cosmic origin (see Fig. 1.27A). It turned out that "the vast majority of background deposition balls are 20-60 μm in size "84 and almost all of them are between 10 and 100 μm in size. The number of balls deposited on Earth is conservatively estimated at \\(10^{4}\\) tons per year. The same balls have been found on the surface of the Moon. Balls of similar sizes have been found in volcanic dust, although the conditions of their formation are very far from the conditions of formation of space balls. So, ***nature creates spherical forms in the size range from 10 to 100 microns regardless of the conditions of formation and almost independently of the chemical composition***. This is especially surprising against the background of angular and typically polycentric structures for all crystalline matter in the range of 15 orders of the Macro-interval.
 
 ![](./media/image111.jpg)
 *Fig. 1.26. Monocentrism and polycentrism at 20 orders of the Macro interval (from A to B electromagnetic interactions dominate). Dimensions are given in cm*

src/11_mega_interval.md

@@ -1,11 +1,11 @@
 # MEGA-Interval
 
-Let us consider the Mega-interval (Fig. 1.34). It starts from the right border of the Macro-interval \- with the sizes from 107 to 108 cm.
+Let us consider the Mega-interval (Fig. 1.34). It starts from the right border of the Macro-interval \- with the sizes from \\(10^{7}\\) to \\(10^{8}\\)  cm.
 
 In this size range, two types of systems are of particular interest: planets and stellar cores. On the Earth, structures of this scale are fragments of the lithosphere, the study of the regularities of their size distribution87 has only recently begun.
 PLANETS (CLASS \#8). Up to the size of planets, cosmic bodies are not monocentric. All cosmic bodies in the range from atomic size to asteroids have polycentric structure \- they are composed of atoms uniformly or chaotically distributed throughout their volume. The reason is the short-range action of electromagnetic forces at such scales. There is no smoothing of shape: all bodies have a pronounced chaotic, fragmentary shape.
 
-As was shown in Chapter 1.3 (see Fig. 1.10), the real ***boundary*** between formless asteroidal bodies and spherical planetary forms is somewhere ***in the neighborhood of 300-500 km***. Thus, in the range from 107 to 108 cm, both polycentric and monocentric bodies are found, with a tendency to transition from polycentrism to monocentrism as the size increases. It is very important to note that a similar situation with the structural transition can be found on the S-axis, if we move along it exactly 20 orders of magnitude to the left. We have shown above that it is there that the transition from polycentrism to monocentrism takes place in atomic nuclei.
+As was shown in Chapter 1.3 (see Fig. 1.10), the real ***boundary*** between formless asteroidal bodies and spherical planetary forms is somewhere ***in the neighborhood of 300-500 km***. Thus, in the range from \\(10^{7}\\) to \\(10^{8}\\) cm, both polycentric and monocentric bodies are found, with a tendency to transition from polycentrism to monocentrism as the size increases. It is very important to note that a similar situation with the structural transition can be found on the S-axis, if we move along it exactly 20 orders of magnitude to the left. We have shown above that it is there that the transition from polycentrism to monocentrism takes place in atomic nuclei.
 
 Thus, it is ***from the first order of the Megainterval that the spherical bodies of planets*** begin to form. Let us consider when other signs of monocentrism appear: ***nuclei and shell structure***.
 

src/17_star_waves.md

@@ -4,7 +4,7 @@ If atoms are the basic elements of the Universe, then stars are the basic object
 
 > Unfortunately, in the most accessible reference books we could not find any tabular data on the statistics of the distribution of all types of stars by their sizes, similar to the distribution of atoms. We had to resort to an indirect, roundabout way, partly calculating their sizes by known astrophysical formulas.
 
-The main CHALLENGE was that if the *coordinate of the upper point of the* SWS ridge (CLASS \#9), corresponding to a size of 1012 cm, is ***special*** for stars, then *this coordinate point should show itself in the dependencies of the most important parameters of stars on their sizes.*
+The main CHALLENGE was that if the *coordinate of the upper point of the* SWS ridge (CLASS \#9), corresponding to a size of \\(10^{12}\\) cm, is ***special*** for stars, then *this coordinate point should show itself in the dependencies of the most important parameters of stars on their sizes.*
 
 Before proceeding to this elucidation, it is necessary to make some ***general remarks*** on the CHARACTER OF STAR EVOLUTION in the Metagalaxy.
 

src/19_epochs_of_structure_formation_of_the_universe.md

@@ -2,7 +2,7 @@
 
 TSWs, the analysis of statistical characteristics of the main structures of the Universe: atoms, stars and galaxies shows that at least two pronounced modes can be distinguished everywhere. And the **first mode** in all cases is formed by the objects of the ***first epoch of star formation***. Since we are talking about the simultaneous formation of stars, galaxies, and atoms, we will use the term \- FIRST EPOCH OF STRUCTURE FORMATION.
 
-This epoch is revealed in many separate and special works devoted to the evolution of the Universe. It began, most likely, at the moment when the expansion of the Universe reached a size of about 1027 cm, which occurred at time t0 \~ 1 billion years. This is when the first stars in the first elliptical galaxies formed, which most likely made up the ***primary cellular structure of the Metagalaxy***. This is why elliptical galaxies mostly belong to galaxy clusters.
+This epoch is revealed in many separate and special works devoted to the evolution of the Universe. It began, most likely, at the moment when the expansion of the Universe reached a size of about \\(10^{27}\\) cm, which occurred at time t0 \~ 1 billion years. This is when the first stars in the first elliptical galaxies formed, which most likely made up the ***primary cellular structure of the Metagalaxy***. This is why elliptical galaxies mostly belong to galaxy clusters.
 
 This first epoch of structure formation passed simultaneously through all scale floors of the Universe and generated its basic objects: elliptical galaxies, population type II stars, light atoms of the second period of the periodic system of elements of D. I. Mendeleev and, apparently, meta- and substructures, which, according to their sizes, are clearly distributed along the crests and troughs of our model SW.
 

src/20_two_s_waves_of_stability.md

@@ -34,7 +34,7 @@ The partitioning of the S-axis by these two invariants occurs according to diffe
 
 The first BASIS coefficient \- \\(10^{5}\\) \- as the whole phenomenology shows, is strictly exactly deferred from the left edge of the S \- Interval (from point 0), breaking the whole S-axis into essential nodes alternating after 5 orders of magnitude.
 
-***The second coefficient splits*** the ***whole*** S \-  Interval of the Universe (SIU) exactly into 12 segments irrespective of its changing length. Naturally, at different moments of the Metagalactic expansion, the division of its S-interval into 12 parts leads to obtaining segments of different lengths. If we divide its present-day length of 61 orders of ***magnitude into*** 12 classes, we get a new ***dimensionless value of*** **105.083, *which is not a constant but grows with the expansion of the Metagalaxy***. Let us call it the **S \- Symmetry Evolutionary Coefficient (SSEC)** 
+***The second coefficient splits*** the ***whole*** S \-  Interval of the Universe (SIU) exactly into 12 segments irrespective of its changing length. Naturally, at different moments of the Metagalactic expansion, the division of its S-interval into 12 parts leads to obtaining segments of different lengths. If we divide its present-day length of 61 orders of ***magnitude into*** 12 classes, we get a new ***dimensionless value of*** **\\(10^{5.083}\\), *which is not a constant but grows with the expansion of the Metagalaxy***. Let us call it the **S-Symmetry Evolutionary Coefficient (SSEC)** 
 
 It would seem that obtaining a small correction after the decimal point at such scales is an insignificant trifle. However, thanks to this correction we can make one more fundamental step, namely, to pass ***from a simple partitioning to a wave partitioning***. After all, from the formal point of view, the division of the changing interval into constant integer 6 waves (or 12 half-waves) is nothing else than a MODEL of a MASTER WAVE, whose length depends on the right changing scale boundary of the Metagalaxy.
 
@@ -44,7 +44,7 @@ In this case, it turns out that the S \- Wave of stability  has its "shadow" \-
 
 ***The characteristic stable points on the S-axis for the Evolutionary Wave depend on the radius of the Universe.***
 
-As the Universe expands, the second sinusoid, unlike the first one, will stretch to the right like an accordion, and all stable points that it sets will shift to the right along the S-axis. This allows us to make the following important PROPOSITION. ***In the Universe, all characteristic, stable dimensions have a*** BIMODAL (most pronounced) ***distribution. The first modes*** are formed by translation (shift by 5 orders of magnitude) along the S-axis from the left extreme point (10-32.8 cm) of the coefficient 105. All characteristic sizes of the main types of systems are associated with them.
+As the Universe expands, the second sinusoid, unlike the first one, will stretch to the right like an accordion, and all stable points that it sets will shift to the right along the S-axis. This allows us to make the following important PROPOSITION. ***In the Universe, all characteristic, stable dimensions have a*** BIMODAL (most pronounced) ***distribution. The first modes*** are formed by translation (shift by 5 orders of magnitude) along the S-axis from the left extreme point (10-32.8 cm) of the coefficient \\(10^{5}\\). All characteristic sizes of the main types of systems are associated with them.
 
 > These dimensions (with a correction factor of 1.6) are shown in the Wave of stability graph we used in the previous sections.
 
@@ -208,7 +208,7 @@ Several explanations are possible here.
 ***First***. Since the electron cloud does not have the same rigid structure as the nucleon droplets of nuclei, it can be secondarily affected by the nuclear characteristic sizes. They give rise in this case through the basis scale factor (\\(10^5\\)) of their twins:  
 1.6 and 2.4–3.6 angstroms (Fig. 1.59). The second range corresponds exactly to the width of the second model on the curve of the statistical distribution of atoms by size (see Fig. 1.49).
 
-***Second***. It is possible that the size of the Metagalaxy is simply somewhat smaller, e.g. 1028 cm. In this case, the evolutionary coefficient of scale symmetry will also be smaller. Consequently, the theoretical calculation will give a value closer to the real one.
+***Second***. It is possible that the size of the Metagalaxy is simply somewhat smaller, e.g. \\(10^{28}\\) cm. In this case, the evolutionary coefficient of scale symmetry will also be smaller. Consequently, the theoretical calculation will give a value closer to the real one.
 
 **Third.** The second mode could have been generated by the second epoch of structure formation, which lasted from the age of 7 to 15 billion years. If we take the size of the Metagalaxy equal to \\(7 \cdot 10^{27} \text{cm}\\), then, using formula (1.16), we can obtain the coordinates of the second mode: \\(10^{-7.53}\text{cm} = 2.9 \cdot 10^{-8} \text{cm}\\), which is quite consistent with the value of the second mode in the distribution of chemical elements along the S-axis.
 
@@ -227,7 +227,7 @@ Now let us compare the first mode on the graph of atom size distribution with th
 
 Concluding this section, we can state that the calculations using the two GPs of characteristic sizes on the S-axis for the stellar systems of the Metagalaxy do not contradict the available observational data, are logically consistent with them, and are confirmed in the main conclusions. Since our calculations use both free parameters and parameters not determined with sufficient accuracy, their correspondence to the actual data is certainly very approximate. But the logic of these calculations and the nature of the shift of the second mode as the class increases on the SW model are ***consistent***.
 
-So, our PROPOSAL ***about the role of integer symmetric divisions of the S-axis finds its very convincing confirmation***. On the S-axis interval, as a space closed (by phase transitions) from both sides, with a length of 61 orders, exactly 12 times half-waves (or 6 times waves) of stability are arranged, ***generating a spectrum of stable dimensions every 5.083 orders***, starting from any point (right or left). On the same S-axis we also find characteristic dimensions ***generated by another integer quantity, 105***. It generates every 5 orders of magnitude its stable and characteristic dimensions, but they start from the left, and by the end of the interval there is a "tail" of one order on the right.
+So, our PROPOSAL ***about the role of integer symmetric divisions of the S-axis finds its very convincing confirmation***. On the S-axis interval, as a space closed (by phase transitions) from both sides, with a length of 61 orders, exactly 12 times half-waves (or 6 times waves) of stability are arranged, ***generating a spectrum of stable dimensions every 5.083 orders***, starting from any point (right or left). On the same S-axis we also find characteristic dimensions ***generated by another integer quantity, \\(10^{5}\\)***. It generates every 5 orders of magnitude its stable and characteristic dimensions, but they start from the left, and by the end of the interval there is a "tail" of one order on the right.
 
 This "tail" at first sight spoils the whole integer symmetry. However, we remind that at the moment of the Universe expansion, when it reached the size of 1.6 \\(\\cdot\\) \\(10^{27}\\) cm, the basis coefficient was exactly 12 times within the length of the whole S-interval, and there was no "tail". It ***was in this scale-resonance period that the first turbulent epoch of structure formation took place***.
 

src/24_division_synthesis.md

@@ -77,7 +77,7 @@ $$ ^{238}_{92}\text{U}^{46} $$
 
 it is necessary 182-fold neutron capture alternating with acts of β-decay " [^ref-165]. In this case, heavy nuclei are obtained, according to modern astrophysical ideas, as a result of ***catastrophic shock processes*** occurring during the explosion of supernovae. The point is that the synthesis of nuclei of atoms heavier than iron is an energy-consuming process, so it occurs only due to the shock ***feeding by the*** energy of the explosion of a star.
 
-All attempts to create artificially atomic nuclei with the number of protons greater than 106 have failed due to the sharp increase in the energy expenditure required for this and the low stability of artificial nuclei. If we turn to the stability trough model and visualize the experimental curve in Fig. 2.3. as a model like Fig. 2.5, then, figuratively speaking, *nuclear physics becomes like SisypSWs, rolling his stone up the mountain on the right slope,* but unable to get it to the top, where it could rest stably.
+All attempts to create artificially atomic nuclei with the number of protons greater than \\(10^{6}\\) have failed due to the sharp increase in the energy expenditure required for this and the low stability of artificial nuclei. If we turn to the stability trough model and visualize the experimental curve in Fig. 2.3. as a model like Fig. 2.5, then, figuratively speaking, *nuclear physics becomes like SisypSWs, rolling his stone up the mountain on the right slope,* but unable to get it to the top, where it could rest stably.
 
 Consequently, if the ***"sled" of nuclear*** synthesis ***rolls down the left slope under its own weight, it can climb the right slope only by the inertia of a strong push.***
 
@@ -623,7 +623,7 @@ It is not obvious, but it is quite admissible that all galaxy clusters and super
 
 TOTALS. Thus, we have considered four and a half S-Troughs on the WAVE of stability. The problem of ***large-scale binding of the dominant processes of synthesis or division is*** considered, most likely, for the first time in science. 
 
-Since the author cannot rely on his predecessors in this matter, this problem cannot be investigated with such precision and completeness to make final conclusions. However, many facts and indirect data, including those left behind the text, allow the author to make a PROPOSITION that ***there is a universal natural principle of change of synthesis-separation tendencies with a periodicity of 105***. Accordingly, every 10 orders of magnitude, nature returns to one of the modes of evolution again.
+Since the author cannot rely on his predecessors in this matter, this problem cannot be investigated with such precision and completeness to make final conclusions. However, many facts and indirect data, including those left behind the text, allow the author to make a PROPOSITION that ***there is a universal natural principle of change of synthesis-separation tendencies with a periodicity of \\(10^{5}\\)***. Accordingly, every 10 orders of magnitude, nature returns to one of the modes of evolution again.
 
 This periodicity correlates in a remarkable way with the ***global scale classification of all objects of the Universe***, discussed in the previous part.
 

src/31_the_unique_properties_of_s_center_of_the_universe.md

@@ -165,55 +165,7 @@ It turns out that even in such a simple example with a table, there can be as in
 
 Consequently, if we consider a three-dimensional model of an object, we can find a single center in it, but when we go to flat models, we find that the centers become infinitely many.
 
-![](./media/image66.jpg)
-
-Unique properties of the scale center of the Universe
-
-Projection of a two-dimensional center on a one-dimensional surface
-
-N=1 Center?
-
-Projection of a three-dimensional center onto a two-dimensional surface
-
-![](./media/image217.jpg)
-
-5μ 300 μ
-
-N=2
-
-N=2
-
-### CLOCKED ONE-DIMENSIONAL SPACE Center?
-
-The "true" center of the circle (N=1) is outside of the circle itself.
-
-in space (N=1+1=2)
-
-### CLOSED TWO-DIMENSIONAL SPACE Center?
-
-"True" center of the two-dimensional sphere (N=2) is outside the shell itself — in the volume (N=2+1=3)
-
-50 μ
-
-![](./media/image195.jpg)
-
-### CLOSED THREE-DIMENSIONAL SPACE
-
-N=4
-
-"True" center of three-dimensional space (N=3) is outside of itself — in the space of a greater dimension (N=3+1=4)
-
-50 μ
-
-Large-scale
-
-Center = 50 μ
-
-projection
-
-on the three-dimensional space of a single center
-
-from fourth-dimensional space
+![](./media/pic2.51.jpg)
 
 *Fig. 2.51. Examples of searching for the true center in spaces of different dimensions, which show that the only center of any closed space is in the higher dimensional space*
 

src/34_stage_one_life_at_the_s_center_of_the_universe.md

@@ -20,14 +20,14 @@ So, a startling PREPARATION is revealed. "Grain", which is composed of maximon,
 
 It is very important that theoretically this cell cannot be destroyed by any material processes of the Universe. It cannot be destroyed neither by an atomic explosion, nor even by the explosion of the galactic nucleus. Why? Because the energy of these processes the "grain of the world spirit" floats in the depths of the "Ocean" and all storms, typhoons and tsunamis going on its surface do not have any destructive effect on it. Figuratively speaking, the "grain of the world spirit" floats in the depths of the "Ocean", and all storms, typhoons and tsunamis on its surface do not have any destructive effect on it, just as chemical reactions with atoms do not destroy the nuclei of atoms themselves or as the process of crushing a rock does not lead to a change in the atomic composition of the rock. Hence, the "grain of the world spirit" may be, in fact, the ETERNAL ELEMENT of the universe. A "grain" is able to accumulate and store a gigantic amount of information due to changes in its internal structure. Practically it is able to "remember" absolutely everything that has happened in the Universe since its birth. ***And this "grain" has theoretically calculated spatial dimensions, which Nature surprisingly accomplished. I've chosen exactly the right way for a living cell to exist!*** Doesn't it boggle the mind? Maybe, indeed, each cell of our organism besides its material structure also possesses (unknown for science yet) etheric (maximon) structure, which stores all information about the Universe surrounding us? Maybe our whole life is recorded on this etheric matrix forever?
 
-To verify the above reflections directly by scientific methods, as it seems to the author, is unlikely to be possible in the near future. There are only a few indirect arguments that show that these assumptions are quite probable. These arguments are based on the ***principle of similarity*** (or anti similarity) of the two worlds: the material and etheric. According to this principle, everything that we find in the material world can have an analogy in the etheric world. It should be reminded that the cell nucleus (the size of which corresponds to the range of HABs) stores all genetic information of any living being. That information, which a creature has managed to accumulate during its life (so far it has been established only for genetic information), is compactly placed in the germ cell and transferred to the next generation, which then (we can say — all its life) unfolds this program. A lot of things are recorded at the genetic level, about which the life of identical twins. If the etheric world is similar to the material world, then in it, perhaps, the process of unfolding of information compactly packed in the "grain of the world spirit" (according to our assumption, the "grain" is connected with the primary germ cell) and formation of the human soul from it (similarly to form from the germ cell of the human body). Possible, that the reverse stacking of information occurs at the moment of death. Let's consider one more aspect of the interrelation of life with the CME. Each person radiates all kinds of waves into the Universe space. The maximum power of radiation is in the range of tens of microns — these are thermal, or infrared, waves. Consequently, we all shine in the invisible infrared range with a decent power of several hundred watts, and the curve of intensity of our radiation has an  It is written in the Talmud : " To recognize the invisible , look closely at the visible .  It is true that paradigm biology recognizes so far only that the most primitive biology is accumulated and transmitted primitive information at the genetic level. Maybe she's right. Why record information on a genetic horizon that could be much more effectively recorded on ether , maximon , etc. upper point in the region from 10 to 100 microns. On the other hand, all the planets of the solar system shine in the sky with the maximum intensity of reflected sunlight also in the range from 10 to 100 µm (see Fig. 3.2). However, each planet has its own maximum, and the character of the radiation curve changes significantly depending on the angle of the planet above the horizon at observations from the Earth. 
+To verify the above reflections directly by scientific methods, as it seems to the author, is unlikely to be possible in the near future. There are only a few indirect arguments that show that these assumptions are quite probable. These arguments are based on the ***principle of similarity*** (or anti similarity) of the two worlds: the material and etheric. According to this principle, everything that we find in the material world can have an analogy in the etheric world. It should be reminded that the cell nucleus (the size of which corresponds to the range of HABs) stores all genetic information of any living being. That information, which a creature has managed to accumulate during its life (so far it has been established only for genetic information), is compactly placed in the germ cell and transferred to the next generation, which then (we can say — all its life) unfolds this program. A lot of things are recorded at the genetic level, about which the life of identical twins. If the etheric world is similar to the material world, then in it, perhaps, the process of unfolding of information compactly packed in the "grain of the world spirit" (according to our assumption, the "grain" is connected with the primary germ cell) and formation of the human soul from it (similarly to form from the germ cell of the human body). Possible, that the reverse stacking of information occurs at the moment of death. Let's consider one more aspect of the interrelation of life with the CME. Each person radiates all kinds of waves into the Universe space. The maximum power of radiation is in the range of tens of microns — these are thermal, or infrared, waves. Consequently, we all shine in the invisible infrared range with a decent power of several hundred watts, and the curve of intensity of our radiation has an  It is written in the Talmud : " To recognize the invisible , look closely at the visible .  It is true that paradigm biology recognizes so far only that the most primitive biology is accumulated and transmitted primitive information at the genetic level. Maybe she's right. Why record information on a genetic horizon that could be much more effectively recorded on ether , maximon , etc. upper point in the region from 10 to 100 microns. On the other hand, all the planets of the solar system shine in the sky with the maximum intensity of reflected sunlight also in the range from 10 to 100 µm (see Fig. 3.2). However, each planet has its own maximum, and the character of the radiation curve changes significantly depending on the angle of the planet above the horizon at observations from the Earth.
 
 It is interesting that:
 
 * ***The wavelength of the planets' own radiation (4-5 μm)*** corresponds to the size of the sperm head and the size of the chromosomes when unfolded (see Fig. 3.2A);
 * ***The wavelength range of the intrinsic thermal radiation of the planets*** on the S-axis is one order of magnitude to the left of the HAB range;
 * ***maximum of the radiation of reflected sunlight by the planets*** is in the Maxis range (see Fig. 3.2A), which is already closer to the scale of the nucleus of the female germ cell, i.e., to the range of SCU;
-* *** Each planet*** also has its specific coordinate (in the sense of radiation maximum) on the S-axis; 
+* ***Each planet*** also has its specific coordinate (in the sense of radiation maximum) on the S-axis; 
 * spectrum radiation bandwidth of each planet, among other things, varies significantly depending on the angle of inclination of the planet's position with respect to the Earth's horizon (see Fig. 3.2B).
 
 ![](./media/image220.jpg)

src/35_phase_two_the_place_of_man_in_the_s_hierarchy_of_the_universe.md

@@ -12,7 +12,7 @@ Before proceeding to this chapter, the author would like to stipulate in advance
 
 Let us recall some facts related to the peculiarity of man's position in the large-scale hierarchy of the Universe.
 
-The scale place of the human being on the S-axis is five orders of magnitude to the right of the SCU. This asymmetry is not accidental and has a deep meaning connected with the evolutionary development of the Universe. It is also very remarkable that not only man is shifted to the right by 5 orders of magnitude from the SCU, in the same way the **whole “wave of life” is shifted relative to the scale center by 5 orders of magnitude to the right, and 105 is a universal Universal dimensionless constant**, the value of which for the scale regularities is paramount and most important.
+The scale place of the human being on the S-axis is five orders of magnitude to the right of the SCU. This asymmetry is not accidental and has a deep meaning connected with the evolutionary development of the Universe. It is also very remarkable that not only man is shifted to the right by 5 orders of magnitude from the SCU, in the same way the **whole “wave of life” is shifted relative to the scale center by 5 orders of magnitude to the right, and \\(10^{5}\\) is a universal Universal dimensionless constant**, the value of which for the scale regularities is paramount and most important.
 
 Let us remind once again that just as a living cell is in the scale center of the Universe, so a human being is in the scale center, but in the “protein Universe”. It is important to note that the shift vector of the “wave of life” coincides with the vector of the Metagalactic expansion and with the vector of the global evolution of the Universe. If we speak about time as a process going in the large-scale space, then the vector of time is directed in the same direction. After all, the Universe becomes larger with age, and the global universal time flows in the direction of increasing masses, and not vice versa. Moreover, as already mentioned, most of the multicellular species (mammals, fish, amphibians) are located in the size range from 3 centimeters to 30 meters. On the S-axis, this interval has an average logarithmic size close to the human height. Consequently, man is not only in the scale center of all protein life, but also in the scale center of multicellular life. Its central position in connection with these facts looks less and less accidental.
 

src/36_the_third_stage_evolution_of_social_systems.md

@@ -104,7 +104,7 @@ This topic is so grandiose that we cannot even touch upon it in this paper. Here
 
 These examples once again show that the main task of the human community is not to satisfy the needs of each of its members individually, but to ***create a new global bio-techno-social system*** that would occupy higher levels on the scale ladder of nature than man himself. In other words, the task of the human community is the development and improvement of the community itself. The ***nearest goal is the creation of a new kind of intelligent system on Earth \- the Noosphere.***
 
-Here the meaning of the fact that in thirty to fifty years the number of people on Earth may reach the order of ten billion (1010), which corresponds to the value of one of the *fundamental dimensionless constants of the Universe, is* revealed in a new way. Let us remind again that this is the order of the number of neurons in the human brain. Maybe, when mankind crosses this cherished numerical boundary, it will finally turn from an unconscious amoeba-like system into a reasonable thinking whole, into a kind of Solaris? And will it pass from collective-conscious existence to collective-conscious one?
+Here the meaning of the fact that in thirty to fifty years the number of people on Earth may reach the order of ten billion (\\(10^{10}\\)), which corresponds to the value of one of the *fundamental dimensionless constants of the Universe, is* revealed in a new way. Let us remind again that this is the order of the number of neurons in the human brain. Maybe, when mankind crosses this cherished numerical boundary, it will finally turn from an unconscious amoeba-like system into a reasonable thinking whole, into a kind of Solaris? And will it pass from collective-conscious existence to collective-conscious one?
 
 ### FURTHER REASONING
 

src/_preface.md

@@ -79,7 +79,7 @@ Despite the "instrumental deadlock”, theoretical physics managed to look 20 or
 To place all particles, objects, and systems from atomic nuclei to the Metagalaxy studied by science on one diagram, we can use the scale of decimal logarithms (Fig. 4), which we will further abbreviate as the S-axis, and the whole interval from \-33 to \+28 as the S-interval.
 
 ![](./media/image70.jpg)
-_Figure 4. The range of sizes of objects known to science on the scale of decimal logarithms for our Universe ranges from the fundamental Planck length of \-33 (\\( 10^{-13}\\) cm) to the Metagalaxy of \+28 (1028 cm)_
+_Figure 4. The range of sizes of objects known to science on the scale of decimal logarithms for our Universe ranges from the fundamental Planck length of \-33 (\\( 10^{-13}\\) cm) to the Metagalaxy of \+28 (\\(10^{28}\\) cm)_
 
 Thus, everything that modern science can study in the Universe is contained within the dimensional range on the decimal logarithm axis from the fundamental Planck length (-33) to the Metagalaxy itself (+28). The total length of this logarithmic interval is exactly 61 orders of magnitude.
 
@@ -155,7 +155,7 @@ The discovery of a new dimension of the Universe has led to the conclusion that
 
 _Fig. 13. In the large-scale center of the Universe there is not only a living cell, but also a "grain of the world memory", which has an almost infinite memory that allows a person incarnating anew each time to use all the experience accumulated in previous incarnations_
 
-And man himself with his average height of 162 cm (+2 on the S-axis) in the S-dimension of life on the planet is exactly in its S-center (Fig. 14). 
+And man himself with his average height of 162 cm (+2 on the S-axis) in the S-dimension of life on the planet is exactly in its S-center (Fig. 14).
 
 ![](./media/image46.jpg)