Variant of association of sciences icon

Variant of association of sciences

НазваниеVariant of association of sciences
Дата конвертации28.09.2012
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V.G. Dubro

Fund “Achievements of natural sciences for solution of society problems”

St.-Petersburg, (812) 352-88-95, email:

Variant of association of sciences


The variant of association of sciences, offered in the given work, is based on the multilevel description complex (with dynamic treelike structure and with number of levels > 2) systems. In its basis the definition such physical, but dimensionless functions of interactions, as quality and quantity of the information, developed at interaction, lays. Thus levels are defined by hierarchy of interactions and “subordinates” to itself physical functions (space - time systems of readout, energy, pulse, moment of a pulse, information, etc.). The relations, traditional for them, and laws remain, but as special cases of more general (common) relations, i.e. they are formulated anew on some new uniform base of the reconsidered concepts.

Keywords: the information, quality of the information, compression of the information, space, time, matter, coordinate system, logic, mechanics, natural sciences, catastrophe, synergetics, self-organization, brain, neurones of a brain, neurophysiology, society.


Earlier similar approach was not productive, as within the framework of ours traditional Archimedean mathematics some of functions were not certain or are infinite, and sets, which they represent, both phase and configuration spaces – are multidimensional and, that is especially unpleasant, continuum (indefinite - incalculable).

^ 2.

In the given approach the base to association of sciences serve the updated tools of knowledge of a nature updated and ways of registration of results of knowledge:


Its proprieties

Multilevel processes of interactions (interaction of processes of interactions, physics of processes or intellectual matter)

Structural topology of filling of space - time by processes of interactions, treelike graph

Number of levels

Finite (system, subsystem, under subsystems…)

The information (analysis and comparison of processes of interaction, role of the standards of processes)

Not reduced to each other kinds (as, for example, quantity and quality): spatial - similar and time similar, with the measures

Energy, pulse, moment of a pulse, …

The level functions of processes of interactions (all real systems are open, forward and rectilinear movements - only as a limit of rotary movements)

Physical connected level (constructive) systems of readout

Spiral kind with axes of readout having extended and temporary properties simultaneously; they are scaled by coordinated course of processes in space and by time, repeat hierarchy of processes of financially - information interactions.

Accidents, bifurcations, mutations, phase transitions…

Change of structural topology (hierarchy) of processes of level spatially - temporary interactions


Continuously - discrete, p-adic, some various on introduction of spatial and temporary properties in uniform extent - temporary coordinates (it is possible, in a combination with some kinds of new complex numbers, screw calculation and non-standard analysis)


N - valued, appropriate to processes in space and time.

Regularities level (discrete) extent - temporary systems of readout

Their number is not obligatory 3 or 3+1. It is necessary to distinguish number of dimensions of studied processes from number of dimensions of reflection of our information on these processes.

Chromosomes, DNA, genes, Brain, thinking, psychology … Interactions in a society, languages

The same described discretely - continuous multilevel financially - information processes (essentially not distinguished from processes of interactions in a dead matter)

^ 2.1 THE GRAPH. Usual structural topology of system consisting of subsystems, we shall expand to the multilevel treelike graph of processes of interactions in space (reminding a pyramid), but yet not taking into account time or represented by our imagination at some moment of time.

Figure 1. Structural topology of a matter (processes of interactions), which is filling space - time.

Simplified index here is those. The top indexes at functions - two:

  • The first top index means a level the column, for example, (i, i+1,…, i+n) index (n+1) of consecutive discussed levels of organization of a matter (i - anyone whole).

  • The second top index determines a situation of system at the given level the column, at each level all discussed systems, irrespective of their parental belonging, are numbered by the beginning of a natural number. For example, () specifies the first system at a level i+3.

The bottom index if it is available, means that function concerns to some concrete affiliated system (or a subsystem located by a level below) of system, certain by two top indexes. Value of this index - number of a subsystem on its a level (next from below). For example, () specifies system k (located on a level i+2), a part of parental system j, located on a level i+3. It is natural, that subsystems of system are located in volumes of space (and time), occupies by their parental systems.

Indexation developed treelike graphs in itself represents some problem. It is possible to consider, that graph illustrates structural topology of the interactions filling space - time. The bottom level can fall somewhere to area of strings, quarks, top level - to leave for borders of the observable Universe. Within the limits of given clause to us will enough allocate only two (adjacent) levels.

^ 2.2 SYSTEMS of COORDINATES. In each system of coordinates (except for the uppermost level) there are allocated three mutually perpendicular spatial directions determined by parental system of coordinates. It:

  • Radius - vector R from the center O of “parental” system of coordinates in the center of daughter system (),

  • Vector of rotations (angular speed) radius - vector R,

  • Speed V of moving of the end of a radius - vector R in parental system of coordinates with the center O.

On vector , V and on R also it is necessary to direct axes of affiliated system of coordinates. Thus, an arbitrariness disappear in a choice of directions of the big number of systems of coordinates, they become rigidly connected physically.

The offered approach supposes to consider movement n bodies as a spatially-temporal composition n interactions of two bodies: each of n subsystems cooperates with the center of weights of system without taking into account itself, i.e. with “ the rest of system ”. Thus movement n subsystems and the "rests" corresponding them, occurs all time about the uniform spatially-geometrical center - the, center of inertia of all system, its center of coordinates, its system of readout. Special value in such composition is played with numbers n and (n-1), proving in discrete level measures of time, in the information and in n-unit logics.

^ 2.3 MATHEMATIC and GEOMETRY. Some interest, especially from the point of view of sequence of introduction, represents rather new direction in the traditional mathematics - non-standard (not Archimedean) the analysis [2]. It is one of interesting approaches to studying infinity (infinitesimal and it is infinite greater), attempt to distribute to them the mathematics and the logic applied to final numbers. But while, this approach turns around increase of abstractness (and complexities).

However, are worthy already attempts of mathematicians though somehow to come nearer to today's problems of a science, and, hence, to realities of the nature. It would be possible to result still a lot of examples, for example, from several kinds of new complex numbers, but the sizes of clause are limited. Here we shall be limited to one remark. Today we should understand, that time and the three-dimensional space, entered very long time ago as the integral, primary properties of the nature, - the tools of knowledge of its some properties only thought up by our ancestors. Today these tools have already morally become outdated. Today we should study "to juggle" such concepts, as number of dimensions of space, number of dimensions of time, as step-type behavior and a continuity of their dimensions. The basic incommensurability of spatial pieces and intervals of time can be used as the minimal (orthogonal) basis in which interaction can be presented as a composition pure, but coordinated among themselves numerically, spatial changes and changes time. And in fact from mixing these most basic and most different (incommensurable) concepts that we name mixing of conditions and wave functions grows, mixing of solutions, colors and paints, mixing of feelings and attitudes, mixing of goods and a harm, etc. And, as the process opposite to mixing, - decomposition: a vector - on basic, energy - on potential and kinetic, numbers - on simple multipliers, etc. Here it is possible to concern some moments of these problems.

As some step works can serve in rapprochement of geometry with mathematics on projective Euclid geometry [3] in which basis in any measure the observer and its device, communication of three-regularities of object with its two-dimensional display and with an arrangement of a point of supervision concerning object … already lays. In this approach as consequence, already appears communication, for example, geometry with distribution of radio waves to space. But the statement of it is beyond the given publication.

Looking back, it is possible to notice: natural sciences and the mathematician have passed a huge way from arithmetic and two-place logic up to infinity, irrationalities, transcendence, multidimensional, continuum, integrated approach, curve spaces, tensors…. But they passed this way the first time! Everyone know, how the first sigh is difficult, the first step, the first pancake, the first standard, the first pre-production model, the first bicycle… And know everyone, how they are imperfect and even are primitive. It proves to be true also modern neurophysiology - working off by a brain of any problem for the first time essentially differs from the subsequent working off … For example, on demand of the exact sciences and technique we struggled with ambiguity of operations and have admitted its growth in inverse functions. Thus absence of computer facilities has defined development of an analytical direction and symbolical operating by irrational numbers. Have as a result ceased to pay due attention, for example, to arithmetic, simple numbers and integer functions, for example, LGM (the least the general multiple), GGD (the greatest general divider) … Meanwhile these functions at the simplicity possess a number of unique properties. For example, it is a lot of district, F (a, b, c,…) = F (a, F (b, c,…)), F (ab, ac) = aF (b, c), F (a, b, b) = F (a, b), F (a2, b2) = F2 (a, b),… These functions easily extend on area of rational numbers, and in many operations it is possible to enter and numbers irrational, for example, F(a, b) = F(a, b).

^ 2.4 STEP-TYPE BEHAVIOUR In the CLASSICAL MECHANICS. In the figure (2) taken from work [8], the decision of a problem of two bodies (the problem is shown to movement of one body with the resulted weight in a motionless gravitational floor) is presented. The flat trajectory of this body is represented in some abstract inertial system of readout (motionless or moving rectilinearly and in regular intervals which in the real nature are not present). The main thing for us here that problem which Landau [8] (and also Arnold [9], etc.) has noticed, but for some reason did not begin to develop: “the Condition of isolation of a trajectory consists in that this corner (∆ψ) was equal to a rational part from 2, i.e. looks like

ψ =2m/n , (5)

where m, n - are integers. Then through n recurrences of this period of time radius the vector of a point, having made m full turns, will coincide with the initial value, i.e. the trajectory will become isolated…. There are only two types of the central fields in which all trajectories finite movements are closed. These are fields in which potential energy of a particle is proportional 1/r or r2. ”.

We suggest the reader to restore mentally a perpendicular from the center of rotation and to present, that it is an axis of time. The trajectory thus becomes three-dimensional and will remind a complex (elliptic) spiral. The new axis combines also axis Z of cylindrical system of coordinates (spatial), and time with some own parameter connecting space and time changes along this axis (on fig. (3) is a horizontal axis). Around of it there are as a matter of fact two rotations, with more big stride is the easier line connecting points with r = rmax, on fig. (2) it is a dashed line. And on axis Z the center of weights of two cooperating bodes moves.

Рис.2 (рис.9 from [8]) the Decision of a problem spirit of bodies is presented in polar system of coordinates (r,); it is received by data of this problem to behaviour of one fictitious body with some resulted weight in a motionless fictitious potential floor.

As a line only a trajectory of some resulted weight, under it is necessary to represent it two trajectories corresponding two cooperating particles (to dot bodies m1 and m2). We shall receive two twirled one around of other spiral, yes thus also some (slow) turn of an ellipse (reminding the straightened image popular in the literature of twin circuits of DNA).

On the other hand, a axis of our dimensionally -time spiral should not be a straight line at all, as our dipole as the whole (its center of weights) itself moves in any floor. It too should be bent in the form of a spiral, already with smaller curvature (with the greater radius). As a whole it too reminds image DNA, but already more real, its braided arrangement in a kernel of a cell. These figures here are not resulted. But if at the reader the spatial image is developed, it can imagine the following. The line representing a trajectory of the resulted weight on fig. (3), itself has some thickness (structure) and represents not that other, as all fig. (3) reduced and turned by axis Z along this line. Those, who worked with fractals, easier will present itself, but only all logic, mathematics and physics here are others.

Рис.3 Behavior represented on рис.2 trajectories and a dotted bending around line in time (the coordinate of time is added - the horizontal, bending around line is represented by a continuous line).

And further. If we shall try to do the same procedure with a trajectory represented on fig. (2), at us nothing will turn out! The problem here consists already not in our imagination. This problem consists of three problems of the different nature:

  • Step-type behavior and a continuity (first of all time since usually it defines other characteristics of processes),

  • Number of dimensions, in which proceeds studied (observable, counted) process,

  • Number of dimensions to which results of studying (supervision, calculations) are represented.

So we pass to constructive systems of readout (supervision). In the traditional mechanics three-dimensional space mentally represent motionless (fallen asleep or "dead") drawing axes of system of coordinates (for example, Cartesian) and a motionless trajectory of movement of a body (see, for example, fig. 2). Further the imagination of the person looking at this picture already worked: it mentally moved the look on a curve (and everyone - with the speed!), represented, what exactly and moves a body, and did the conclusions about characteristics of movement. Thus for simplification of transfer of these testimonials from of the author of figure - to the one who will examine it, the directed stretches different any lengths. It is a vector, tangents to a trajectory, and directions of speed of a body symbolizing by self in a point of a contact. In the same logic the trajectory on fig. 2 (from work [8]) where vectors are replaced by simple arrows is represented also.

2.5. TIME. Discrete physical time is offered greater number of authors, for example [4-6]. More suitable kind it can be offered on the basis of р-adic mathematics [6] (entered still by Gauss) approximately as = t (mod0 ), where - some current discrete physical time, 0 its some characteristic parameter, a measure, t - our usual time or its piece. In work [7] it is resulted logically and mathematically the proved transition from not observable, but intuitively represented, spaces and time with their hypothetical properties, - in systems of readout of different regularity (dimension) in which measurements are described. Thus spatial and time measurements possess some general properties. In it in comparison the big promotion sees other attempts, and also with a situation in the general theory of a relativity since times of its creation.

In the given approach there is no speech about introduction of some new physical, level times instead of traditional time. More habitually and productively introduction of some physical, level measures (units, standards, gages) of time, thus our traditional time remains in its former status. It is similar to our habitual measurements of time by such its measures, as year, month, and number…. Therefore here interest for us measures will represent only, how they are formed by interaction of subsystems.

For demonstration of the approach here we shall consider the cyclic processes similar to process, represented on fig. 2, in the assumption, that similar trajectories will be and for several bodies (subsystems), each of which too has some structure and internal movements. Let t designates some physically proved measure for measurement of duration of cycle T systems () and duration of cycles T of its subsystems (). Thus T systems we shall define simply as the least piece of usual time for which each of subsystems will make the whole N number of (affiliated) cycles T:

N = T / T (1),

N = НОК ({N}) / НОД ({N}) (2),

n= N / N , t = T / N (3),


N - the minimal number of various conditions of system in its one cycle, differing from each other a condition even one subsystem,

t - time of course of one such characteristic (elementary) condition of system (a physical measure of time of system and its subsystems),

n- number of various conditions of system in current of cycle T of a subsystem (),

{N} - the list of sizes N of subsystems () of a system ().

In traditional (continuum) approach of function N, N and n - uncertain and/or infinite. In the discrete approach we had an opportunity to present a condition of system during its cycle in two different kinds:

- As {N} its conditions s - the subsystems, average for the general period of system T it is possible to name a set spatially-like representation (more corresponding coordinate representation Schrödinger in the quantum mechanics);

- As N its various and strictly consecutive conditions in time for intervals t (here they equal), components in the sum its period T; it can be named time - similar representation (more corresponding representation Heisenberg in the quantum mechanics, more adapted to the relativistic theory).

Representation (1) – is on a spatial arrangement of subsystems (but too in view of number of their cycles!). In spatially-like representation (1) subsystems during each moment of time borrow different areas in space of system, but it cannot be approved for times equal to their periods, and the more so, during the period of system. Besides, interaction in the traditional approach – is three-dimensional. Therefore it is impossible to divide unequivocally the area of space borrowed by system, into the areas of space borrowed by its subsystems. Therefore basis of such decomposition mixed, not orthogonal it is primary. Representation (1) intuitively is meant for a long time, but is actually consistently finished only for interaction of two dot bodies (strictly - along one spatial dimension).

Representation (3) - decomposition on time, is on obviously orthogonal basis as consecutive intervals of time have no crossings. In the traditional mechanics (classical and quantum), based on differentials of time, time - similar representation (3) cannot be at all.

Illustration (logical and mathematical) of the given approach the following treatment can be. Each of n cooperating subsystems "hours" (the measure - cycle T) "measures" processes in “the rest of system” that is visible from formula LGM(a, b, c, …) = LGM(a, LGM(b, c, …)). All subsystems "work" equally precisely - receive the whole quantities of the measures. And cumulative (all subsystems) result of measurements defines already some properties of all (parental) system (or "acts" in it as some result of activity of all affiliated subsystems). Here that "measurements", as well as in work [7], are treated as some interaction is essential already. And the observer (i.e. the person with properties of the brain or devices) and logically, and mathematically can be one (any) of "ordinary" participants of interaction. Or the observer can "insert" itself as the additional participant of interaction and then make calculations anew (on the same logic and the mathematician). For example, it is for optimization of measurements from the point of view, of time, accuracy or expenses.

In the given approach each spatial coordinate is characterized still by some measure of time. Extended and its time properties are defined not only process at the given level, but also on adjacent with it. And dependence on processes on adjacent (for example, from above) level is different at spatial and time components. Therefore each system of coordinates is also system of readout.

^ 2.6. SYSTEMS of READOUT. Spaces with greater number continuum dimensions (as, for example, phase in the classical mechanics or configuration - in quantum) – is a difficult mathematical problem. It becomes just now clear, that a principal cause of difficulty - in a continuity of their dimensions. Any final (and even calculating) number of discrete dimensions can be contained in three-dimensional continuum space [7]. Such systems of spiral spatially -time coordinates defined by interactions, it is logical to name physical (or constructive) systems of readout. Here it is possible to notice, that through time of own period the distance between cooperating bodies will repeat, will repeat also energy of their own potential interaction, but this step will occur in some external potential floor to the same scheme (and logic). The main thing that influence water somewhat as though is separated, the principle of superposition of fields ceases to be continuum and by that, on the one hand, considerably it becomes simpler, with another - comes nearer to real processes in the nature. Earlier all energy has been closed at one level (in one interaction between two bodies) and consequently energies of participants it was necessary to consider the sum a constant (for example, the sum of potential and kinetic energy). In the given approach the law of conservation of energy already should be written down in view of its overflowing between the next levels and with change of its quality, as occurs in the real nature.

Historically the concept "interaction" has been entered for the description of the coordinated behaviour of bodies (or processes) in space and time. Today we already have made concept "interaction" so “causally - the main thing”, that we consider is more often, as if it exists in itself and as consequence, causes the coordinated behavior in space and time. But number of interactions is huge, especially in an alive and intellectual matter. And a unique way to their ordering - through understanding and classification coordinated possible, essentially admissible spatially - time dimension. Pertinently to make still such remarks.

1. In the resulted example (see transition from fig. 2 to fig. 3) axis Z was combined with an axis of time, and in section “ systems of coordinates ” spoke about a three of directions: , V and R. But this three directions is defined by processes in parental system of coordinates. And the axes of coordinates represented on fig. (2), in the traditional mechanics (not in the given approach) are defined not by any real environment (which there simply is not present) and exclusively imagination of two cooperating persons: author of theirs and imagination looking on them. These of imagination (by default) are considered sufficiently similar. If more strictly to formalize process of a choice of system of coordinates it is necessary to represent unequivocally, that the end of vector R - is necessary the center of axes of coordinates of subsystem (). Further, axis Z with an axis of time is directed on ^ V(a horizontal axis on рис.3). Almost left axis on fig. 3 - on axis R, almost vertical axis on fig. 3 - on an axis . On the one hand, axes are rigidly connected among themselves not by physics, and our arrangements (one direction - vector product of two others). On the other hand, it is possible to consider directions of all three axes almost strictly formalized - they are directed in "physical" directions, but to within a sign.

2. We shall notice, that all the logic conclusions made above concerning axis Z with an axis of time and their direction on ^ V, it is possible to repeat and concerning an axis directed on R. Namely, to consider, that on this axis also it is postponed also time with some mathematics. But it is beyond given clause.

3. All systems of readout (except for the uppermost) - not inertial.

2.7. LOGIC. Essential promotion in formal logic is planned with development n-value logics [9]. However, abstractness them it is great: not only the experts working in this area, but also its founders - cannot treat them, enclose in them any sense, apply them in any field of knowledge or in a life. And, as consequence, their development is slowed extremely down. As well as in all given approach, the special role in n- value logics is played with simple numbers, and a role of irrational numbers and continuum sets essentially decreases. For example, in them are allocated full and before - full logics, which can be connected with formula LGM(a, b, c…) = LGM(a, LGM(b, c…)).

The impossibility to treat n- value logics in a science (and also in thinking, in interactions in a society) is a consequence of formalization only two-level approaches in formal logic and in all sciences. This problem disappears in the given approach as itself n-value directly contacts the ambiguity following and from formulas (6-8), and from comparison of formulas (6,7) with the formula (8) .И even more. There is a need for physically proved development n- value logics before their two-dimensional expansion corresponding two, not reduced one to another, to approaches to the description of real processes of interaction.

2.8. INFORMATION. The structural topology of discrete systems of readout (graph on fig.1) allows to leave from abstract multivariate continuum spaces, from abstract infinite numbers of conditions of systems during some moment of time which has zero, unreal duration.

Using final earlier final and physically clear functions:

T, T, N(T, T), (4)

n ({N}), t (T, N ), n( T,t), (5)

Let's define spatially - time functions, which characterize interactions s - subsystems (for period Tof system):

H = n П N = n N, (6)

H= n П n = n n , (7)

H =n НОК ({ N}) , (8)

where product and summation is made on the bottom index k, on s to subsystems; {N} and {n} mean lists of functions Nand n of all s subsystems.

Functions (6-8) - different, it is primary between them there is no unequivocal communication. This communication appears at real interactions then functions (6-7) characterize really proceeding processes, and function (8) characterizes a certain limiting variant of these processes. In this sense they are connected among themselves, mutually supplement each other and in aggregate give more information on processes. Here they are resulted in the reduced record and dependence on spatial coordinates not obvious. Not only function (7), but also functions (6,8) are in a greater degree of time-like, than the representations of a condition, used in the quantum mechanics, which besides, all are strictly connected among themselves. Strict conformity with quantum approaches here to establish it will not be possible. Since continuum approaches are similar to reflections into which 3 spatial - dimensions "are curtailed" by one time - dimension. And, they "are curtailed" intuitive, not by formal image. Just as, it is impossible to establish communication between an alive three-dimensional body and its flat shadow without probability theory.

Function H it is possible to consider as a measure for functions H and H which can be named, accordingly, spatially-like and time - the similar information of process (one cycle):

H / H1, (9)

1H / Hs-1, (10)

(H+ H) / H = s, (11)

where s - the number of subsystems of system, and the right inequalities become equality at in pairs simple N and in pairs simple n.

Attitudes of these functions (6-8) do not depend on the basis of the logarithm, and from them it is possible to receive many physical properties of process of interaction of subsystems. As well physical sense have their differences. Thus function H characterizes process of interaction of system within the limits of the expanded system (the possible contribution to adjacent top level). Functions N and H characterize directly process of interaction in system, at the given level, between subsystems. Functions n and H characterize communication of processes in subsystems with process of interaction in system.

In aggregate these functions characterize process of interaction at the given level and consider processes on adjacent (from above and from below) levels, hence, it is possible to consider them three-level in our traditional understanding.

In the nature the logic of transfer of the information differs from logic in our traditional computer science. Each subsystem in the nature has the alphabet and with the speed transfers signs in system. The length of a word is defined by minimal time Tfor which all subsystems Twill manage to transfer integer N of the alphabets (instead of signs) in system. There is, as though, simultaneously a transfer and that information which in traditional computer science at all was not considered, considered as the aprioristic information of the observer. There is a constant mutual multi-channel existential monitoring process. In such continuous process everyone “elementary premise” from any subsystem has "sense" (yet spatial changes) … All reasonings on the sizes of the alphabet, the dictionary, lengths of a code (and other in traditional definitions of the information) here are not considered. It is simply our primitive attempt one uncertainty to define all through a combination of others uncertainties to which we concern less exactingly…. A simple vivid example - in the mechanic: we at first weight defined through force, then force began to define through weight. But thus it was required to enter two weights - inertial and gravitational. Distinction between them is defined only intuitively, not formally; otherwise, it is new uncertainty, and no more…. There was no promotion in studying the nature … Similar; philosophical outputs from difficult situations have strongly entered into our life: in art criticism, in psychology, in a policy, in advertising….

Process of transfer of the information is indissolubly connected with materially-power interaction, and they can be applied to different concrete processes of the interactions proceeding in an ordinary life of people. Thus it is possible to argue, that the information, substance, energy go from subsystems to system (upwards). But it is possible to argue and on the information, substance, the energy going from system in subsystems (downwards). Concepts "top" and "bottom" cease to be subjective and are formalized in quantity of systems at adjacent levels. Or that the information extends between the next levels. And, thus its analytical record by the mathematical means accepted at us is shortened or extended.

In the given approach the standard of process as those (way of comparison of different processes) become its coordinated (consensual) spatial-temporal changes. It is two information, supplementing each other, but not reduced one to another and not replaced one another. In the quantum mechanics of representations of functions of condition and operations it is a lot of, all of them are rigidly (formally connected among themselves by Archimedean continuum mathematics). Therefore, by stricter today's criteria – there is in the quantum mechanics one representation - representation of ours continuum mathematics. The discrete approach offered here is under construction on two “pure by nature”, orthogonal, essentially not reduced one to another (numbers e and  - irrational!) approaches, estimations, descriptions. Functions H and H it would be possible to consider, accordingly, as quantity and quality of the information, but this conformity not strict since our representations about quantity and quality - are not formalized and connected with the same primitive two-place logic. More likely, both of them are closer to two qualities of a different kind or a level if it is possible so to say. In the given approach they become more productive and more important, thin tool, than habitual matter-power tools (an impulse, the moment of an impulse, energy…).

One sad consequence follows from the given approach: within the limits of traditional classical mechanics to solve in a general view a problem of three bodies (with the same logic and mathematics which was used at the decision of a problem of two bodies) - it is impossible. Also it is impossible to unite the classical mechanics, traditional computer science, the quantum mechanics and two-place logic.

Since old centuries we spend measurement by a measure (or the standard, gage). When we study, for example, phase transitions or accidents, to us do not help those measures, which we used for the description of a matter in its conditions before phase transition, those measures, which we use after phase transition. And meanwhile there are on both parties from phase transition - processes. And, they – are different in something, but in something they - similar. Then border between them, directly phase transition, simply composition, crossing of these processes. The information entered here, is an original bridge above those precipices, which in the physics name accidents.

The given approach well corresponds to theorem of Gödel about impossibility to do conclusion about inconsistency (or not inconsistency) of formal (regular) system (in this case - interactions) within the limits of this system. If to speak about space, we shall admit, still our ancestors formalized it systems of coordinates. But where we today from space can “leave”, except for as into time? Our ancestors formalized time by hours, - where we today from time can “leave”, except for as in space? For this, reason any of these categories separately from the alternative category today has no productive any sense for the future. But how can “to pass” between three-dimensional space and one-dimensional time? Our ancestors formalized process of interaction by materially power laws. Where to us them “to leave”, how not in formalization of its information laws? Our ancestors formalized one interaction between two bodies. How to us “to pass” to three bodies, where at once three interactions? Our ancestors formalized two-place logic, but, it is necessary to tell, not so successfully. "Yes" and "not" have essentially different nature, as, for example, blue and sharp, or the point and volume. How to us “to pass” to more logical n-unit logic and thus to recover from woes of logic two-place?

^ 2.9. NOTATIONS and NANO-TECHNOLODIES. Basically notations with the constant basis are now used: binary (the basis g = 2) and decimal (g =10). With the variable basis notation on the basis of numbers Fibonacci (gi+1 = gi + gi-1) develops while only, but it can turn back occurrence of computers of new type with the processors a little bit changeable during work. In this notation there is unusual to us an ambiguity of representation of results, and, that is even more unexpected, - increase of reliability of calculations.

In the given approach processes in the real nature can be considered as some really existing, continuously working calculating device (similar, for example, to a speedmeter). Graph on рис.1 just also represents the scheme of such device in which the information from several categories of one level acts in the following category (upwards), and the law of transformation of the information (of he basis of a notation) depends on time and is unusual enough: graph - treelike. Here too there is an ambiguity of representation of results, which follows, for example, from comparison of formulas (6,7) with the formula (8). Earlier this ambiguity did not try to formalize yet and estimated simply as " an infinite variety " nature.

It is necessary to tell, that in the given approach are combined (are weaved) analytical (abstracted, modelling) the decision of a specific target with its decision numerical methods and even in view of course of processes (it is information - physical) its decisions on the computer. In a traditional science it is different enough areas, between which - programming and techniques (it is similar: analog both digital computers and a radio communication; magnetic and solid-state keepers of the information....). Now, especially with development nano - technologies, the opportunity appears to unite these approaches. The matter is that at a level nano - processes at us converge under spatial and time characteristics both "alive" molecules, and "dead" nano - structures. The uniform approach developed here to the description of these processes is aimed at creation of biological computers in which, during their work, their internal structurally functional reorganization is possible. To similarly as though usual computers would change "iron", architecture and operational system, not interrupting the work. In it also there is an essence of unity of is material-information processes. So the brain, the person as a whole and all society are function.

Many known authors try "to step" from traditional sciences to the description of reason and consciousness (for example, [10]). But to start they begin with quantum mechanics, from the base “ insufficient depth and durability ”. The quantum mechanics tries to reflect real processes by means of our traditional analytical (sign, dead) mathematics. But to overcome and somehow to use ambiguity and unpredictability by means of probabilities it is impossible. For promotion in the decision of such problem, probably, and the mathematics should be real processes, i.e. consider process of numerical calculation with its ambiguity and the unpredictability caused by laws of the nature. Objects of mathematics (number, etc.) Should reflect properties of real processes. Accordingly, and mathematical operations above objects of mathematics should reflect interactions of real processes, i.e. reflect real process of other order. Only then it is possible to hope, that results of calculations will adequately reflect the future of such real processes, as thinking, human life and societies.

2.10. BRAIN. It is essential to promote in understanding organism work of a brain (and in transition from two-level theories before multilevel material-information processes in a society) became possible owing to works of neuron-physiologist N.P. Behterevoj [10]. In particular, owing to its theories of Rigid and Flexible Neuron Circuits and to its other researches, for example, differences in the decision a brain of a problem new to it from repeated decisions of the same problem. Here we cannot stop on the logic and mathematical analysis of its experiments. But we shall notice, to what exactly it has led us to belief in strict logic and mathematical similarity of processes in a brain and processes in a society. Here we shall notice only, that for the description of these processes of spatially like representation (the formula (6,8)) it is already obvious insufficiently. Without time-like of representation (formulas (7,8)) to promote in construction of the theory организменной works of a brain it is not obviously possible.

The history has left to us also such tools of knowledge of functional properties of a brain, as thinking and feelings of the person. As they do not give in to formalization remain no more than naive is abstract-like representations and in a science play the lesser role. But they continue to be applied widely, for example, in philosophy, psychology, and political sciences…. Within the limits of the given approach it is enough for scientific understanding of functional properties of a brain even the spatially like approach (function of the information (6,8)). It allows "to decompose" formally complex ideas and feelings to more simple components, to unite them, to find the general parts (crossing) and distinction (individualities and contradictions) to simplify them to lead to consistency, etc.

2.11. LANGUAGE interaction is reflection of processes in a brain. In sufficient approach it can be considered without it materially - power part (as is ideal-information). So it is done in is an abstract-like approach: in linguistics, semantics, ethymology. There words (senses) are expressed in the form of a composition of more simple words (senses), offers - as a composition of words, etc. In the given approach of a science about languages can be formalized (similarly to thinking and feelings), using spatially like representation with functions (6,8). For example, it is possible to estimate numerically and redundancy of languages, and some optimality in construction of phrases, and "orthogonality" (not combination) of sets of the elementary (pure) senses, etc.

Historical development of languages, occurrence of new senses, words, slangs..., and also course of concrete process of a language exchange (conversation) between people is already area of time-like of the approach with functions (7,8), this is reflection organism work of a brain.

2.13. SOCIETY, civilization, their organization and interactions in them - are similar to work of a brain, but more complex.

So often happens in a science that the beginning of some process and its some final behaviour usually named by the asymptotic decision is well described. An example to that phase transitions, accidents, transients…. In sciences models of separate, elementary processes are not bad investigated only. They are so fine and so the elementary part of the nature, that them name models or sciences about the dead nature (physics, chemistry…). Wildlife, including our modern society, by strict scientific criteria it is possible to consider only as transitive processes and consequently they are still not clear scientists. But developments (complications) can be extrapolated in the future for reception of more simple and more clear decisions of asymptotic character - on time and on spatial complexity. One decision - trivial - we stop the existence. Within the limits of the given approach other decision - a survival is already received also. It is characterized strict (both in logic, and in mathematical sense) by conditions (such, as an extremum, crossing of sets, etc.). Their number – is from two four depending on variables for which they enter the name. These are analogues of the law of Darwin for vegetative and fauna. These conditions consider features of work of a brain and concern absolutely any financially - information processes of interactions in a society. The received decision is beyond clause. We shall notice only, that its performance and will mean transition of our society in some new condition in which we can be named a conceiving matter. On its basis already now it is possible to formulate strictly really achievable purposes - the general, clear and consistent for the Terrestrial civilization. In particular, "to bypass" the accidents of negative character arising both inside of a civilization, and outside of it, - absolutely new, "thin" methods.

^ 2.14. PHYSICS of PROCESSES (or PHYSICS of the INTELLECTUAL MATTER). In the given approach only at the uppermost level there is one universal closed material system (the visible Universe) and connected with it, in our imagination, inertial system of readout. It consists from tradition continuum time and tradition three-dimensional cartesian system of coordinates with continuum axes. As it is closed, we cannot judge such its properties, as:

  • Unique it such, or is them (even is infinite much),

  • They are based or move in regular intervals and rectilinearly from each other,

  • In what directions they so move from each other,

  • That is behind its limits,

  • It is possible to consider its general sizes dot, zero, or infinite…

  • Discrepancy of our formalized representations about its internal laws….

And only the lowermost level includes dot (zero in the sizes) particles, but with final on size in weight, an impulse, the moment of an impulse, energy … And with usual uniform continuous time, where the present - zero on duration and where measures of time - abstract, but identical to any processes, where and when they occured (for example, - second).

Today it becomes clear, that it is possible to understand better, more fruitfully all device of the nature as a certain set of the coordinated processes (interactions) discretely enclosed (by a principle: a few enters in one or one consists of several) in our former representations about continuum space and time. But only it is indispensable on condition that in each process is not present it is pure extended and cleanly time changes, and is inseparable spatially - the time changes having the dimensions of “extent and time”. The general in all these processes, that in them there is a mixing our very different concepts "extent" and "time". Distinction in under what logic and mathematical laws this mixing occurs. It is possible to consider, that all interactions are accompanied not only transfer of an impulse, energy, radiation, particles or bodies, but also transfer of corresponding quantity of the information of the certain quality. Differently, all processes of interactions become is indissolubly material-information.

That we only move apart all that traditional, that has brought a lot of advantage, but abstract, illogical, and the main thing - experimentally not discovery today. We move apart somewhere far upwards and deeply downwards and inside we insert too all traditional and bringing a lot of advantage, become today already real, logical, experimentally confirmed - in a little bit updated, uniform, coordinated and ordered kind. In other words, in our habitual continuum three-dimensional space and time we put today's our achievements of separate sciences. We put in the form of hierarchy from final number of levels in which proceeds discrete spatially - time processes (changes).


  1. Devis M., “The applied non-standard analysis”, M., 1980, Uspenskij V.A., “Non-standard or not-Archimedes analysis ”, M., 1983 [Russian].

  2. Guzevich S.N., “About discrepancies directed by problems of a geodesy and their elimination or about projective Euclid geometry”, M., The Geodesy and cartography, 1, 2006, and “About three-dimensional model of measurement of distances in radio engineering systems”, M., the Radio engineering. Information - measuring and operating systems, 1, 2007, p. 4-9 [Russian].

  3. Taganov I.N., Babenko Y.I., “Antitime and antispace”, S-Pb, 2001 [Russian].

  4. Dimentberg F.M., “Method of screws in the applied mechanics”, M., 1971 [Russian].

  5. Kolokolchikov V.V., “Displays. From numbers up to functions”, M., 1999 [Russian].

  6. Harmut H.F., “Application of methods of the theory of the information in the physicist”, M., 1989 [Russian].

  7. Landau L.D., Lifshic E.M., “Mechanics”, M., 1965 [Russian].

  8. Arnold V.I., “The ordinary differential equations”, Izevsk, 2000 [Russian].

  9. Karpenko A.S., “Lukasevich logic and simple numbers”, M., 2000 [Russian].

  10. Penrose R., “Shadows of the Mind. A Search for the Missing Science of Consciousness.”, N.Y., 1994.

  11. Behtereva N.P., “Healthy and sick brain of the person”, L., 1988; “About a brain of the person”, S-Pb., 1994 [Russian].


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