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

Author

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  • Martino, Salvatore De
  • Siena, Silvio De
  • Illuminati, Fabrizio

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.

Suggested Citation

  • Martino, Salvatore De & Siena, Silvio De & Illuminati, Fabrizio, 1999. "Inference of Planck action constant by a classical fluctuative postulate holding for stable microscopic and macroscopic dynamical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 271(3), pages 324-342.
    • Handle: RePEc:eee:phsmap:v:271:y:1999:i:3:p:324-342
    DOI: 10.1016/S0378-4371(99)00208-3
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    Cited by:

    1. De Martino, S. & De Siena, S., 2012. "Allometry and growth: A unified view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(18), pages 4302-4307.

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