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Entropy, Vol. 20, Pages 499: The Symplectic Camel and Poincaré Superrecurrence: Open Problems

Entropy, Vol. 20, Pages 499: The Symplectic Camel and Poincaré Superrecurrence: Open Problems

Entropy doi: 10.3390/e20070499

Authors: Maurice A. de Gosson

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.

Authors:   Gosson, Maurice A. de
Journal:   Entropy
Volume:   20
edition:   7
Year:   2018
Pages:   499
DOI:   10.3390/e20070499
Publication date:   28-Jun-2018
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