Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Emergence of Planck’s Constant from Iterated Maps

Version 1 : Received: 16 November 2020 / Approved: 17 November 2020 / Online: 17 November 2020 (15:50:50 CET)

How to cite: Goldfain, E. Emergence of Planck’s Constant from Iterated Maps. Preprints 2020, 2020110459. https://doi.org/10.20944/preprints202011.0459.v1 Goldfain, E. Emergence of Planck’s Constant from Iterated Maps. Preprints 2020, 2020110459. https://doi.org/10.20944/preprints202011.0459.v1

Abstract

Iterations of continuous maps are the simplest models of generic dynamical systems. In particular, circle maps display several key properties of complex dynamics, such as phase-locking and the quasi-periodicity route to chaos. Our work points out that Planck’s constant may be derived from the scaling behavior of circle maps in the asymptotic limit.

Keywords

Action quantization; Planck’s constant; iterated maps; circle maps; winding numbers

Subject

Physical Sciences, Mathematical Physics

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