Inference of Planck action constant by a classical fluctuative postulate holding for stable microscopic and macroscopic dynamical systems

The possibility is discussed of inferring or simulating some aspects of qua ntum dynamics by adding classical statistical fluctuations to classical mec hanics. We introduce a general principle of mechanical stability and derive a necessary condition for classical chaotic fluctuations to affect confine d dynamical systems, on all scales ranging from microscopic to macroscopic domains. As a consequence we obtain, both for microscopic and macroscopic a ggregates, dimensional relations defining the minimum unit of action of ind ividual constituents, yielding in all cases Planck action constant. (C) 199 9 Elsevier Science B.V. All rights reserved.