Ervin Goldfain. Emergence of Planck's Constant from Iterated Maps
Natural Sciences / Physics / Quantum field theory
Submitted on: May 30, 2020, 21:48:55
Description: 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 PlanckâE™s constant may be derived from the scaling behavior of circle maps in the asymptotic limit.