Next Article in Journal
On the Significance of the Quantum Mechanical Covariance Matrix
Next Article in Special Issue
A Quantum Ruler for Magnetic Deflectometry
Previous Article in Journal
Assessing Information Transmission in Data Transformations with the Channel Multivariate Entropy Triangle
Previous Article in Special Issue
Fundamental Irreversibility: Planckian or Schrödinger–Newton?
Article Menu
Issue 7 (July) cover image

Export Article

Open AccessArticle
Entropy 2018, 20(7), 499;

The Symplectic Camel and Poincaré Superrecurrence: Open Problems

Faculty of Mathematics, NuHAG, University of Vienna, 1090 Vienna, Austria
Received: 26 May 2018 / Revised: 21 June 2018 / Accepted: 26 June 2018 / Published: 28 June 2018
(This article belongs to the Special Issue Emergent Quantum Mechanics – David Bohm Centennial Perspectives)
PDF [249 KB, uploaded 28 June 2018]


Poincaré’s Recurrence Theorem implies that any isolated Hamiltonian system evolving in a bounded Universe returns infinitely many times arbitrarily close to its initial phase space configuration. We discuss this and related recurrence properties from the point of view of recent advances in symplectic topology which have not yet reached the Physics community. These properties are closely related to Emergent Quantum Mechanics since they belong to a twilight zone between classical (Hamiltonian) mechanics and its quantization. View Full-Text
Keywords: Poincaré recurrence; symplectic camel; quantum mechanics; Hamiltonian Poincaré recurrence; symplectic camel; quantum mechanics; Hamiltonian
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
Printed Edition Available!
A printed edition of this Special Issue is available here.

Share & Cite This Article

MDPI and ACS Style

Gosson, M.A. The Symplectic Camel and Poincaré Superrecurrence: Open Problems. Entropy 2018, 20, 499.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top