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

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

1999-01-15

arxiv.org/abs/quant-ph/9901045v1

Physica A271 (1999) 324-342

Physics

Quantum Physics

14 pages, no figures

Scientific paper

The possibility is discussed of inferring or simulating some aspects of quantum dynamics by adding classical statistical fluctuations to classical mechanics. We introduce a general principle of mechanical stability and derive a necessary condition for classical chaotic fluctuations to affect confined dynamical systems, on any scale, ranging from microscopic to macroscopic domains. As a consequence we obtain, both for microscopic and macroscopic aggregates, dimensional relations defining the minimum unit of action of individual constituents, yielding in all cases Planck action constant.

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