Autumn semester of 1997

Topic of the semester: **TEMPOROLOGY IN RUSSIA**

**V. S. BARASHENKOV** (Dubna). * "DEVELOPMENT
OF MODERN IDEAS ABOUT TIME" (PDF file, 40.6 Kb).* Science and
religion - why philosophy is especially important now. Problems
of theory of relativity - the Lorentz's and Einsteinean treatment
of time relations and the experimental check-up of these two
approaches. Superluminal motions - the irreversibility of time
and the problem of causality. Idea of multidimensional time - is
it at variance with the experiment? How the world looks when time
is three-dimensional? Kozyrev's hypotheses, extrasensoric - is it
a myth or reality? (V.S. Barashenkov, M.Z. Yur'iev. Is the
Hypothesis of Time Multi-Dimentionality at Variance with the
Facts? // Foundations of Physics. 1997, in press.)

**A. A. RAIKOV **(St.-Petersburg).*
"GRAVITHERMODYNAMICS: PROBLEMS AND PERSPECTIVES".*
Different approaches to the formulation of the II-nd Principle of
thermodynamics for the systems where selfgravitation plays
important role are discussed. The causes, preventing the
generalisation of the known Beckonstain-Howking expression for
enthropy in the selfgravity systems without event horizont, are
analysed. The perspectiveness of the field theory of gravitation,
where selfgravitation is described as bicomponent field sources
and gravitons, is shown. The main result of the qualitative
analysis of thermodynamical evolution, made with this approach,
is the prediction of the fractal matter distribution with the
dimension equal to 2 and uniform distribution of the massless
component (gravitons). Namely in this lines the famous
cosmological paradox of "the themal death of the
Universe" is considered. The main mechanism of enthropy rise
in the star mass objects is considered to be the irreversible
dissipation of energy in the process of gravitational
radiation.(Baryshev Yu.V., Raikov A.A. About Enthropy of
selfgravitating systems, Astrofizika, 1989, v.29, p.595 (in
Russian).Oschepkov S.A., Raikov A.A., Sergeev A.G. Nonlocal
thermodynamics of polythropes, Gravitaziya, 1995, v.1, iss.1.)

**V. V. GUKIN** (Perm'). * "AUTOREFERENT
CONCEPT OF TIME".* This investigation is an
attempt to define the referent of the notion of Time and to
construct a formal model founded on this determination. The
problem is discussed from the cybernetical and natural science
point of view using mathematical methods of abstract automates,
categories and functors.

**L. S. SHIKHOBALOV** (St.-Petersburg). * "AN
ELECTRON AS THE STRUCTURE OF SPACE-TIME SUBSTANCE" (PDF file, 38 Kb).*
It is considered that the space-time is filled in specific
4-dimensional substance of pseudoeuclidean Minkowski space
geometry. An electron is modelled by some structure of this
substance. The model describes electromagnetic field of an
arbitrary moving charge exactly and it doesn't need of Maxwell
equations and system of reference (the last is used only for
calculation of values treating to 3-dimensional physical space).
(Shikhobalov L.S. What can be obtained from the substantial
conception of time? // On the way to understanding the time
phenomenon: the constructions of time in natural science. Part 2:
The "active" properties of time according to
N.A.Kozyrev / Editor A.P.Levich. Singapore; New Jersey; London;
Hong Kong: World Scientific Publishing Co. Pte. Ltd., 1996. P.
174 - 221. (Series on advances in mathematics for applied
sciences; Vol. 39). Shikhobalov L.S. Electrodynamics reexamined
// St.-Petersburg University Bulletin. Issue: Mathematics,
mechanics, astronomy. 1997. N 3 (15). Pp.109-111, in Russian.)

**V. F. OSIPOV** (St.-Petersburg). * "SPACE-TIME
GEOMETRIC STRUCTURE".* Various geometric
methods of electrodynamics inclusion in the Einstein's theory of
gravitation are considered in the paper ( a review of the 3-d
volume of the monography: V.F. Osipov Space-time structure:
vectorial algebra and analysis. S-Pt.: S-Pt. Univ. Publ. House.
Volumes 1 and 2 were published in 1995; Vol.3 is in press, in
Russian)

**A. A. GRIB **(St.-Petersburg). * "QUANTUM
LOGIC, TOPOLOGY, AND PROBLEM OF TIME".* The
difference between the quantum logic and the classical one are
discussed. In referance with a problem of topology quantization
it is given an example of a system, the state of which can be
defined only within two moments of time but not within one. (A.A.
Grib. Violation of Bell inequalities and the problem of measuring
in the quantum theory. Dubna: Joint Institute of Nuclear
Researches. 1992, in Russian.)

1) **V. V. CHURAKOV** (Shakhty). **"ABOUT
INFORMATION SYSTEM "CHRONOINDEX".**

2) **D. A. TOLSTOY** (St.-Petersburg). * "MUSIC
AND PERCEPTIBLE TIME".* Qualitative aspects of
the dependence of time peception speed are considered, including
Dionysian (slowing down) and Apollonian (acceleration) lines in
music. (D.A.Tolstoy. Music and Time // Soviet Music. 1971. N 12.
D.A.Tolstoy. Music and Time // Termina- tor. 1994. N 1. Pp.27-31,
in Russian.)

**A. V. PUSHKIN** (Sarov). * "CONCEPT
OF TIME IN NONCONTRADICTORY QUANTUM GRAVITATION".*
The report states some qualitive corollaries of quantum
gravitation obtained by the author and having general-physical
meaning. It turns out that the development of noncontradictory
(without divergences) quantum gravitation is equivalent to the
development of the material field theory with unbroken localized
scaling symmetry. In physics language this means that the theory
satisfies the fundamental experimental fact: the absense of
absolute dimension scales in nature. In algebraic language the
mathematical content of the theory is reduced to the unique
object: commutative non-associative algebra having been developed
by Griss and a group of automorphisms of this algebra, the
"Monster" group or the "Griss-Fisher's Freindly
Giant". Geometric properties of the theory are expressed in
terms of four-dimension manifolds the structure of which is
exhausted by the structure of two-dimension surfaces globally
embedded in them. The relation between two descriptions is set by
the "Monster" group representation theory being the
theory of representations of some infinite-dimensional affine Lie
algebra. In its turn, it means that the quantum gravitation
theory may be expressed in terms of the system of well integrable
non-linear partial differential equations. This provides a tool
for performing comparison of one physical process with another in
terms of invariant representation for one solution of these
equations using invariants of the other solution. Concept of time
that appears in such theory may be briefly expressed by the
phrase chosen by the author as an epigraph to his report.
Epigraph: "... in no case did Zakhar Pavlovich sense time as
some solid thing - it existed for him only as a mystery of the
alarm clock mechanism. And when Zakhar Pavlovich had learned the
pendulum mystery, he understood that there is no time but there
is only the uniform tight spring's force." Andrey Platonov
"The Origin of the Master".

**A. V. DOBRYAKOVA **(Moscow). * "SPACE-TIME
CONSTRUCTIONS IN MYTHOLOGICAL SYSTEMS".* As a
rule, mythological and religious concepts personify the exterior
phenomena. There exist: gods (time spirits) and sovereigns of the
space directions (e.g. of the cardinal points). These are (not
necessary) anthropomorphic creatures, and their behavior is the
cause of the changes occurring. Space and time scales are
associated with the life duration of such creatures and with the
supernatural abilities they exhibit. This communication considers
esoteric space-time structures and mythological properties of
time in different culture traditions.