Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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 (doi: 10.20944/preprints202011.0459.v1). Goldfain, E. Emergence of Planck’s Constant from Iterated Maps. Preprints 2020, 2020110459 (doi: 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.

Subject Areas

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

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.