Spring semester of 2001

Topic of the semester: **TIME AND ENTROPY. TEMPOROLOGY NEWS**

*"ON A PROJECT OF A VIRTUAL INSTITUTE FOR THE STUDY OF THE TIME NATURE".* A. P. LEVICH.

**A. V. KOGANOV (). "MULTICOMPONENT MEASURE OF COMPLEXITY, INFORMATION, AND ENTROPY FOR MATHEMATICAL MODELS".** The traditional Information measure is a one-dimensional parameter which correspond entropy changing by report. The measure of Complexity is the minimum of program length for a certain finite sequence generate. The entropy measure is the statistical or combinatorial parameter for microstate uncertainty in certain macrostate. New Complexity measure of mathematical model is proposed in the Multicomponent form. Every component express the measure of certain resource using in model realization. The resources set for multicomponent measure is a subjective parameter and it is depending aim. Corresponding Information measure is equality Complexity of model alterations which are described in report. Corresponding Entropy measure is the Complexity of macrostate model. A natural resource for mathematical model realization is a computer memory. That resource form the traditional measure in special model.

**IVETTA GERASIMCHUK (). "DICTIONARY OF WINDS".** The questions proposed by organizers of the competition - "To free future from past? To free past from future?" supposed any sorts of interpretation - political, scientific, philosophical and others. My answer to these questions is presented as a whole collection of dictionary entries and amounts to statement that in none of these interpretation it is possible to free neither past from future nor future from past: everything in the world is too closely interrelated. The drawn analogy between wind and time is rather arbitrary, but advantageous from artistic perspective and is not entirely far-fetched - ancient Greeks really performed studies and measurements of wind and time in one spot - at Tower of Winds in Athens. To substantiate my answer to the questions I had to "complete" a picture of life in the Tower of Winds and around it in space and time (up to our days) and for sake of clarity to put in comic light the two extremities - a blind enthusiasm for any changes (the party of anemophils) and a superstitious fear of any novelties (the party of chronists).

**A. P. LEVICH (). "ENTROPY AS A MEASURE OF SYSTEM STRUCTURING AND THE ENTROPY PARAMETRIZATION OF TIME".** It is convenient to describe the structure of natural systems formally in terms of the mathematical theory of categories and functors. An attempt to generalize the "number of elements" concept for finite structured sets leads to a functor comparison of structures and to formulas which can be interpreted as the generalized entropy of systems. A principle of the maximum entropy can be interpreted as a requirement of realizing the system states with the extremal structure. Thus, entropy should be represented as a measure of structuring complex systems. Thermodynamical, statistical, probabilistic, and informational definitions of entropy are particular realizations of its functor definition. A variational modelling of systems allows one to introduce the entropy parametrization of their proper time. The entropy time averages various metabolic (substitutable) times of subsystems of a complex system and returns the universal status to time. Within the variational modelling of systems it is possible to formulate several theorems revealing properties of the entropy time. The Boltzmann theorem shows the monotonicity of the entropy time with respect to the metabolic time of a system. The Gibbs theorem shows the duality of the extremum principles connected with the structure (entropy) of systems and the material flows creating the nonequilibrium of systems (generating flows of the metabolic time). The stratification theorem shows partitioning the space of a system into domains with the localization of its typical interactions. (A.P.Levich. Set Theory, the Language of Category Theory and their Application in Theoretical Biology. Moscow University Press, 1982, 190 pp. (in Russian); A.P.Levich. Time as Variability of Natural Systems: Ways of Quantitative Description of Changes and Creation of Changes by Substantial Flows. In "On the Way to Understanding the Time Phenomenon: the Constructions of Time in Natural Science. Part 1. Interdisciplinary Time Studies''. World Scientific, 1995, p. 149-192 ; A.P.Levich. Variational modelling theorems and algocoenoses functioning principles. Ecological modelling, 2000, V.131, No.2-3, pp. 207-227 ; A.P.Levich. Entropy as a generalization of a concept of a number of elements for finite sets. Philosophic research, 2001, No.1 (in Russian).)

*"MATHEMATICIAN AND PHILOSOPHER A. WHITEHEAD".* I. N. GANSVIND.

**S. D. HAITUN (). "ENTROPY AND EVOLUTION".** An interpretation of entropy as a measure of the disorder makes difficult the perception of a law of increasing entropy as a law directing the evolution. This interpretation is not only proved by anyone but also is erroneous. Thus, evolution is directed to increasing entropy and, moreover, maximally fast increasing. (S.D.Haitun. Mechanics and irreversibility. Moscow, Janus, 1996 (in Russian); S.D.Haitun. My ideas. Moscow, Agar, 1998 (in Russian); S.D.Haitun. Social evolution, entropy, and the market. Social sciences and modernity, 2000, No.6 (in Russian); S.D.Haitun. Fundamental essence of evolution. Questions of philosophy, 2001, No.2 (in Russian).)

*"THEORETICIAN OF TIME ARISTOTLE".* G. P. AKSENOV.

**A. B. RUBIN (). "DYNAMIC ORGANIZATION OF LIVING SYSTEMS".** On a role of mathematical modelling in understanding the mechanisms of regulating the biological systems. Order and disorder in living systems. Entropy and information. (A.B.Rubin. Biophysics. Vol. 1. Theoretical biophysics. Moscow, The University publishing house, 1999 (in Russian); A.B.Rubin. Biophysics. Vol. 2. Biophysics of cellular processes. Moscow, The University publishing house, 2000 (in Russian).)

*"OVERVIEW OF NEW ENTRIES IN THE SEMINAR LIBRARY".* A. P. LEVICH.

**V. V. ARISTOV (). "THE CONCEPT OF ENTROPY IN THE RELATIONAL STATISTICAL MODEL OF TIME".** Possible direct relation of entropy to the statistical time interval is studied. By using a vector sum of two sequential displacements for each particle of a system under consideration an interval of "the irreversible time" is constructed. The ordinary interval of the relational time is also determined. The entropy increment is given in terms of the function of the mentioned different time intervals (under some conditions these intervals are equal one to the other). The value of this increment is non-negative. Relation of the given value to the traditional physical and informational entropy is discussed. The entropy time is connected with relations of the thermodynamics of irreversible processes and the kinetic theory. The notion "time's arrow" is treated and a possible generalization of the model for open systems is also discussed. (V.V.Aristov. Relative statistical model of clocks .)

*"A WORD ON THE DOMINANT: COMMENTS TO REPORTS OF A CONFERENCE DEDICATED TO 125TH ANNIVERSARY OF A. A. UKHTOMSKY".* V. V. VAKHMISTROV.

**Yu. A. ERSHOV (). "ENERGY CHARACTERISTICS AND KINETICS OF INFORMATION INTERACTIONS" (PDF file, 99.9 Kb).** The definition of the bounded information as a measure of object structural complexity is given. The structure of object is mapped by subsets of parts and bonds. Any measure of complexity is a function mapping the object structure. The general properties of this function are formulated in form of a system of axioms. The formula for calculation of the bounded structural information or complexity of an object satisfying to these axioms is entered. Also axiomatic of the transmitted information conception entered. The obtaining of the information is considered as an analytical procedure. Qualitative analysis gives types of substructures and bonds. Quantitative analysis determines numbers of substructures and bonds of different types. On this basis, the general relations for calculation energy and material inputs on the information transmission, obtaining and storage in complex systems are given. Examples of applying of these general relations to various objects are given. Kinetic equations describing the dynamics of information interactions are derived. It is shown that for determination of substance- and energy-transmitting fluxes the partial material or partial energy cost of the information should be calculated. Formulas for calculating these quantities are given. It is shown that transmitted and bonded informations are not functions of the energy characteristics of an information carrier. Thus the information and thermodynamic entropy are only formally similar to each other. (Yu.A.Ershov. Russian Journ. of Physical Chemistry, 1999, Vol. 73, No.10, pp. 1633-1639.)

*"NEWS FROM AMSTERDAM".* V. E. ZHVIRBLIS.

**A. E. SEDOV (). "LIFE AND CREATIVE WORK OF E. A. SEDOV: SOME TEMPOROLOGICAL ASPECTS".** The E.A.Sedov's theoretic informational model of the development of various systems that's based on the multilevel optimization of their redundancy, will be reported and discussed. The reporter's father, Eugeni A. Sedov (1929-1993), was both engineer-inventor and cyberneticist-philosopher and writer. He wrote and published appr. 200 articles, the monography "Evolution and Information" (1976), popular-scientific books on information theory and on electronics (they were published in 12 languages), and some novels, the still not published play and psychological novels written as science-fiction tales. He combined the scientific research, the popularization of knowledge, and the artisitic perceivement of both of them, being the romanticist in all he did. His applied works were the hypersound-based apparata for distant communication, the automatic systems that produced computers, and the neural network-like computer systems. His philosophic-cybernetical model that's discussed here, was much more strict one than the views of the official soviet philosophy. Hence, it was oppressed. The time was often represented in E.Sedov's works: in electronics, his overviews of measurement of very small timespans, and of mastering of frequency scale of electromagnetic waves; in information theory, his analysis of history of views on determination and casuality, and his original concepts of intellectual, technical, social, and ecological processes of the last years. The highly amazing ones are several episodes in his life that were connected with the time, his predictions of dates in his psychological fantastic novels. Both last popular conceptual books written by E.Sedov still exist only as manuscripts, as not being sponsored for publication.

*"THEOLOGIAN, PHILOSOPHER, AND TEMPOROLOGIST SAINT AUGUSTINE OF HIPPO".* A. V. GOMANKOV.

**V. P. MAIKOV (). "QUANTUM OF ENTROPY AND NATURE OF TIME IN THE NONLOCAL VERSION OF THERMODYNAMICS".** The nonlocal approach to an exposition of the thermodynamically equilibrium states is set up and developed here. It is assumed that in known fundamental three-unity - matter, energy, entropy-information - all component are discrete, and (macro)quantum of entropy is equal to the Boltzmann constant. This assertion together with others initial principles enables to refuse the model elements of a continuous medium and allows to transfer classical thermodynamics in a class of the quantum-relativistic theory with the amplification of phenomenological style of exposition. In the nonlocal version of thermodynamics the entropy and the temperature gain the new status, appearing as performances of the discrete time-space metric. The nature of time is uncovered. The time "is done" by fundamental cosmological process of an expansion of a physical vacuum of the Universe through its interaction with a material medium. Time is discrete, nonhomogeneous and hierarchic. In the report the experimental and observational data for the benefit of the considered version are given. (Maikov V.P. An extended version of classical thermodynamics as the physics of discrete space-time, Moscow, 1997, 160 p. (in Russian); Maikov V.P. Thermal Engineering. Vol. 45, 1998, p. 723; Kulikova T.A., Maikov V.P Theoretical Foundations of Chemical Engineering, Vol. 32, No. 6, p. 537.)

*In memoriam REVOLT IVANOVICH PIMENOV (1931-1990).*

*The leader*of a session is the chairman of the R.I.Pimenov fund

**NIKOLAY IVANOVICH SHCHERBAKOV**(

*the contact phone:*(095)213-0955). The life of R.I.Pimenov. The works of R.I.Pimenov. Temporal worlds of Revolt Pimenov. The history of social movements and power in Russia of XIX-XX centuries from the works of R.I.Pimenov. R.I.Pimenov as a public figure and politician. The film "Freethinker" about R.I.Pimenov.

*"SCIENTIST AND PHILOSOPHER V. V. NALIMOV".* G. A. DROGALINA.

**S. M. KOROTAEV (). "EXPERIMENTAL STUDY OF MACROSCOPIC NONLOCALITY OF THE CONTROLLED PROCESSES".** Kozyrev's transaction of the irreversible processes, understanding now as an effect of macroscopic nonlocality, was studied in the long-term experiments. Reaction of the probe processes in the detectors on the natural large-scale processes was measured. Prominent feature of the results in such perfomance is presence both retarded and advanced reaction. It corresponds peculiar nonlocality violation of the "strong" causality (by keeping "weak" one). But if the source of influence is the arctifical (controlled) process, then only retarded reaction displays. The results qualitatively agree with theoretical predictions. A principally new result proved to be stochastic reaction of the detector on the sourse-process fixed over all the parameters. In addition, parameters of the detector signal are related by stable statistical dependences, in particular, following from action-at-a-distance electrodynamics.

*Announcement of the future report "FOUNDATIONS OF A QUALITATIVE EVOLUTIONARY FIELD THEORY".* L. I. PETROVA ().

**I. M. DMITRIEVSKY (). "ON A DATING OF THE "TURIN SHROUD" AND THE PTOLEMY'S "ALMAGEST" (A NEW VIEW OF TIME)".** On the basis of a concept of the relic radiation proved by the author earlier (reports at the Seminar in April of 1996, 1998, and the article "A new fundamental role of the relic radiation in the physical picture of the world" in the journal "Polygnosis", 2000, No.1, p.38 (in Russian)), we indicate a possibility of explanation of deviations (which are the same!) in the age of the "Turin shroud" and the "Almagest" obtained by historians and astronomers not as historical garbles but as variations of parameters of the fundamental medium (a small anisotropic component of the relic radiation). This concept arises from an analysis of the S.E.Shnol effect of macrofluctuations which is also explained. The following consequences of our research are considered: 1) the relic radiation is a natural referent of time; 2) space and time are not a form but are a medium of existence of matter; 3) time is nonhomogeneous and nonlinear (this does not contradict to the E.Noether theorem and its consequences); 4) one should distinguish two components of time: global and local.