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

Salvatore De Martino, Silvio De Siena and Fabrizio Illuminati

Physica A: Statistical Mechanics and its Applications, 1999, vol. 271, issue 3, 324-342

Abstract: 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 all scales 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.

Keywords: Planck constant; Dynamical systems; Classical mechanics (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:271:y:1999:i:3:p:324-342

DOI: 10.1016/S0378-4371(99)00208-3

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