A quantitative measure for the organization of a system, Part 1: A simple case

TL;DR

This paper proposes a universal quantitative measure of system organization based on the inverse relationship with physical action, enabling cross-disciplinary quantification of organization.

Contribution

It introduces a novel expression linking organization to physical action and demonstrates its application in a simple case, advancing the measurement of system organization.

Findings

Organization is inversely proportional to physical action.

Derived a new expression for quantifying organization.

Applied the measure to a simple case successfully.

Abstract

Establishing an universal method to measure the organization of an universal system, will allow us to understand the mechanisms of functioning and organizing in general and enable us to design systems which will posses highest level of perfection. Attempts to measure organization have been done using information and entropy. The least action principle which is the basis of all branches of physics has been applied to a biotechnical system, ecosystem, chemical system and reliability theory to explain their functioning. Here we show that the amount of organization is inversely proportional to the physical amount of action in a system. We show the derivation of the expression for organization and apply it in a simple case. The significance of this result is that it will empower all of the natural and social sciences to quantify the organization in the systems that they are studying when it is applied to them.