Gosson Maurice A de
Faculty of Mathematics, NuHAG, University of Vienna, 1090 Vienna, Austria.
Entropy (Basel). 2018 Jun 28;20(7):499. doi: 10.3390/e20070499.
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.
庞加莱回归定理表明，任何在有限宇宙中演化的孤立哈密顿系统都会无限次地任意接近其初始相空间构型。我们从辛拓扑学的最新进展角度来讨论这一点及相关的回归性质，而这些进展尚未为物理学界所熟知。这些性质与涌现量子力学密切相关，因为它们处于经典（哈密顿）力学及其量子化之间的模糊地带。
