The Symplectic Camel and Poincaré Superrecurrence: Open Problems

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 / Download Paper

By Maurice de Gosson

This abstract belongs to an article of the Special Issue "Emergent Quantum Mechanics – David Bohm Centennial Perspectives"

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