Lieber 



ontological-geometrical property of position (local property) rather than as a 

 property of extension, * 



The Principle of Maximum Uniformity was first establishedt in Ref. 2 by 

 generalizing (to all classical mechanical systems) a theorem obtained on a 

 global-positive definite measure of the internal forces for a particular class of 

 mechanical systems. The conception of the principle of maximum uniformity 

 ascribes to the force which is designated by the symbol F in Newton's proposi- 

 tions a much more fundamental and universal aspect in nature, than it does to 

 the terms which pertain to the acceleration of a material particle upon which 

 the force is impressed. Accordingly, the restricted covariance of the proposi- 

 tions of classical mechanics to Galilean frames, derives from the acceleration- 

 dependent terms, and not from what is symbolically represented by F in New- 

 ton's law which expresses the total connection between a particle endowed with 

 an inertia 'm' and the universe in which it exists. 



This way of thinking about F, ascribes to it the same role as does Mach's 

 principle to the inertia of a material particle, and consequently bestows upon it 

 an equal significance. This allows the reconciliation of a principle of universal 

 correspondence with Bohr's correspondence principle, by ascribing all forces 

 in nature, including those which emerge in the domain of classical mechanics to 

 the immutable processes in nature from which the dimensional universal con- 

 stants emanate. In this way, the principle of maximum uniformity is directly 

 extended to every domain of natural phenomena (nonclassical and classical), and 

 all forces in nature which are posited to sensation and sense -awareness are 

 thus conceived as the manifestations of this principle. 



The principle of maximum uniformity can be formulated in such a way that 

 it embraces in addition to the equilibrium propositions of classical mechanics, 

 a general stability principle which naturally accommodates chronological time 

 and consequently implies historical commitment. 



The concept of nonuniformity refers to strictly intensive properties of 

 space-time structure. These have familiar manifestations which include asym- 

 metry, nonhomogeneity, isotropy, structure, curvature, and the number of pa- 

 rameters necessary for the description of a phenomenon and the gradients of 

 these parameters. Other examples include the impression of a fossil, printing, 

 labelling, symbols, alphabet, and language. Force and information are of course 

 outstanding examples. All of these are aspects of nonuniformity and would 

 therefore be interconnected by a general proposition which pertains to, and con- 

 ditions, a global measure of a fundamental aspect of nonuniformity in nature. 



*This in effect establishes within the edifice of classical mechanics the impene- 

 trability of matter as the physical foundation of force; and the geomietrical con- 

 straints as an (geometrical) internnediary between force and impenetrability; 



• and accordingly as a geometrical manifestation of their ontological connection. 



'This principle was first established in (2) in a restricted sense and has since 

 been generalized as it is presented in this paper. 



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