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

Salvatore De Martino·Silvio De Siena·Fabrizio Illuminati
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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 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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Salvatore De Martino, Silvio De Siena, Fabrizio Illuminati. 1999-01-15. Inference of Planck action constant by a classical fluctuative postulate holding for stable microscopic and macroscopic dynamical systems. https://doi.org/10.1016/s0378-4371(99)00208-3

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