The Least Action and the Metric of an Organized System

2010/04/20 by Georgi Georgiev, Iskren Georgiev · 2 citations
Physics and Astronomy · #nlin.AO #physics.gen-ph

paper · pdf

published as Open Systems and Information Dynamics, 9(4), p. 371-380 (2002) · 21 pages

arxiv created 2010/04/20 · arxiv updated 2010/04/21

Abstract

In this paper we formulate the Least Action Principle for an 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. A quantitative: the action I. 2. A qualitative: the metric tensor. These two measures can describe the level of development and the specifics of the organization of a system. We consider closed and open systems.

Cited by

• Principle of Least Action and Theory of Cyclic Evolution
• Certain Interesting Properties of Action and Its Application Towards Achieving Greater Organization in Complex Systems

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