The Least Action and the Metric of an Organized System-Reference-Cited by-同舟云学术

The Least Action and the Metric of an Organized System

Published:2002-12 Issue:04 Volume:09 Page:371-380
ISSN:1230-1612
Container-title:Open Systems & Information Dynamics
language:en
Short-container-title:Open Syst. Inf. Dyn.

Author:

Georgiev Georgi¹,Georgiev Iskren²

Affiliation:

1. Physics and Astronomy Department, TUFTS University, Medford, MA, USA 02155, USA

2. Physics and Astronomy Department, Sofia University, Sofia, Bulgaria 1000, Bulgaria

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1023/A%3A1021858318296

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