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 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 confine...

Full description

Saved in:
Bibliographic Details
Published in:Physica A 1999-09, Vol.271 (3), p.324-342
Main Authors: Martino, Salvatore De, Siena, Silvio De, Illuminati, Fabrizio
Format: Article
Language:English
Subjects:
Classical mechanics
Dynamical systems
Planck constant
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0378-4371
1873-2119
DOI:10.1016/S0378-4371(99)00208-3