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The Symplectic Camel and Poincaré Superrecurrence: Open Problems
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Journal Article
The Symplectic Camel and Poincaré Superrecurrence: Open Problems
2018
Overview
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.
Publisher
MDPI,MDPI AG
Subject
