The Least Action and the Metric of an Organized System

Springer Science and Business Media LLC - Tập 09 Số 04 - Trang 371-380 - 2002
Georgi Georgiev1, Iskren Georgiev2
1Physics and Astronomy Department, TUFTS University, Medford, MA, USA 02155, e-mail: [email protected]#TAB#
2Physics and Astronomy Department, Sofia University, Sofia, Bulgaria 1000, Bulgaria

Tóm tắt

In this paper, we formulate the least action principle for organized system as the minimum of the total sum of the actions of all of the elements. This allows us to see how this most basic law of physics determines the development of the system towards states with less action — organized states. Also we state that the metric tensor can describe the specific state of the constraints of the system, which is its actual organization. With this the organization is defined in two ways: 1. quantitative: the action I; 2. qualitative: the metric tensor gmn. These two measures can describe the level of development and the specifics of the organization of a system. We consider closed and open systems.

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Tài liệu tham khảo

10.1139/tcsme-2000-0023

10.1023/A:1005243320885

10.1007/s004070050034

10.1016/0021-8928(76)90027-7

10.1016/S0020-7225(98)00131-1

Filippov G. F., Physics of Atomic Nuclei, 62, 95

10.1134/1.1258985

10.1007/BF02898948

Diebner H. H., Zeitschrift fur Naturforschung Section A-A. Journal of Physical Sciences, 53, 51, 10.1515/zna-1998-1-209

10.1016/S0167-2789(97)00212-1

Cavalleri G., Nuovo Cimento della Societa Italiana di Fisica B — General Physics Relativity Astronomy and Mathematical Physics and Methods, 112, 897

10.1016/S0550-3213(96)00584-6

10.4006/1.3029260

10.1007/BF02083819

10.1016/0020-7462(95)00038-0

10.2307/1940707

10.1139/f94-024

10.1007/BF01018575

Sergeev E. V., Biofizika, 40, 132

10.1017/S0022112095002254

10.1093/mnras/271.3.719

10.1016/0307-904X(94)90321-2

Pollard D., Nuovo Cimento della Societa Italiana di Fisica B — General Physics Relativity Astronomy and Mathematical Physics and Methods, 110, 857

10.1143/JPSJ.63.2930

10.1103/PhysRevE.48.4027

10.1088/0305-4470/26/11/010

10.1142/S0217979293003218

10.1016/0375-9601(93)90083-C

10.1115/1.2899535

Chan T., Annales de l'Institut Henri Poincare — Probabilites et Statistiques, 27, 239

10.1051/jcp/1991880001

10.1007/BF01016113

10.1007/BF01016183

10.1039/f19898501463

10.1016/0096-3003(89)90100-8

10.1016/S0022-460X(87)80224-9

10.1016/S0022-460X(86)80005-0

10.1016/0020-7225(86)90072-8

10.1063/1.526288

Broucke R., Hadronic J., 5, 1901

Nadj H., Am. Phys. Soc., 26, 472

10.1007/BF00638974

Perrote A. I., Theory Eng. Cybern., 16, 101

Goldstein H., 1980, Classical Mechanics

Bar-Yam Y., 1997, Dynamics of Complex Systems

Chaisson E. J., 2001, The cosmic Evolution, 10.2307/j.ctv1dfv99q

10.1016/S0303-2647(97)00076-2

Goerner S. J., 1994, Chaos and the evolving ecological Universe

Salthe S. N., 1993

Goontilake S., 1991, Evolution of Information

Daniel R. B., 1988, Evolution as entropy

Stengers I., 1997, The End of Certainty

Turchin V. F., 1977, The Phenomenon of Science: A cybernetic approach to human evolution

Coveney P., 1995, Frontiers of Complexity: The search for order in a chaotic world

Casti J., 1997, Would-be Worlds

Holland J., 1998, Emergence: from Chaos to Order, 10.1093/oso/9780198504092.001.0001

Jantsch E., 1980, The Self-Organizing Universe: Scientific and human implications of the emerging paradigm of evolution

Kauffman S., 1993, The Origins of Order: Self-organization and selection in evolution, 10.1093/oso/9780195079517.001.0001

Lewin R., 1992, Complexity: life at the edge of chaos

10.1007/978-1-4757-5426-1

Waldrop M., 1992, Complexity: The emerging science at the edge of order and chaos

Żurek W., 1989, Complexity, Entropy and the Physics of Information

von Bertalanffy L., 1968, General Systems Theory

10.1007/978-3-642-96469-5

Eigen M., 1979, The hypercycle — a principle of natural selforganization

Jantsch E., 1981, The evolutionary vision

Jantsch E., 1980, The Self-Organizing Universe

Kauffman S., 2000, Investigations, 10.1093/oso/9780195121049.001.0001

Laszlo E., 1987, Evolution: the grand synthesis

Lovelock J., 1988, The ages of Gaia

10.1007/978-3-642-69692-3

Prigogine I., 1961, Introduction to the Thermodynamics of Irreversible Processes

Nicolis G., 1989, Exploring Complexity

Wilson E. O., 1988, Consilience: The Unity of Knowledge

Capra F., 1996, The web of life: a new scientific understanding of living systems

Ayres R. U., 1994, Information, Entropy, and Progress: A New Evolutionary Paradigm

10.1023/A:1009662321079

Arfken G. B., 1995, Mathematical Methods for Physicists