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Entropy 2018, 20(7), 499; https://doi.org/10.3390/e20070499

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)
Full-Text   |   PDF [249 KB, uploaded 28 June 2018]

Abstract

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

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