Quantum Physics

    

Emergence of Planck's Constant from Iterated Maps

Authors: Ervin Goldfain

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.

Comments: 6 Pages.

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Submission history

[v1] 2020-05-30 22:37:46
[v2] 2020-05-31 18:40:09
[v3] 2020-06-01 06:24:10
[v4] 2020-06-01 15:39:18
[v5] 2020-06-02 00:21:32

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