A Principle of Maximum Uniformity Obtained as a Theorem on the Distribution of Internal Forces

摘要

This paper identifies and establishes a fundamental theorem on the spatial global and temporal local distribution of internal forces for a class of dynamical systems which includes the Maxwell gas. The theorem is based on a formulation of the Gauss-Hertz principle of mechanics where concept force is indeed retained and underlined. Thus we find and establish within the framework of Gauss' Mechanics a new and fundamental global property of internal forces bearing on cooperative phenomena and which can be expressed as a Principle of Maximum Uniformity. Doing so, however, requires a demonstration of the validity of Gauss' Principle for all known categories of geometrical constraint. This is done here and attests to generality and power of principle. The information rendered explicit by the theorem cited is not discernable or obtainable from Newtonian Mechanics without quadrature. (Author)