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Eternal return
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==Science and mathematics== The [[Poincaré recurrence theorem]] states that certain [[dynamical system]]s, such as particles of gas in a sealed container, will return infinitely often to a state arbitrarily close to their original state.<ref name=Tipler>{{cite book |last=Tipler |first=Frank J. |chapter=General Relativity and the Eternal Return |chapter-url=https://books.google.com/books?id=AM43BQAAQBAJ&pg=PA21 |title=Essays in General Relativity: A Festschrift for Abraham Taub |date=1980 |publisher=Academic Press |isbn=978-1-4832-7362-4 |pages=21–22}}</ref><ref>{{cite book |last=Sinai |first=VA. G. |url=https://books.google.com/books?id=ZT1xJSCdG30C&pg=PA8 |title=Introduction to Ergodic Theory |date=1976 |publisher=Princeton University Press |translator=V. Scheffer |isbn=0-691-08182-4 |page=8}}</ref> The theorem, first advanced by [[Henri Poincaré]] in 1890, remains influential, and is today the basis of [[ergodic theory]].<ref name=Gosson>{{cite journal |last=de Gosson |first=Maurice A. |title=The Symplectic Camel and Poincaré Superrecurrence: Open Problems |journal=Entropy |date=June 2018 |volume=20 |issue=7 |page=499 |doi=10.3390/e20070499|pmid=33265589 |pmc=7513024 |bibcode=2018Entrp..20..499G |doi-access=free }}</ref> Attempts have been made to prove or disprove the possibility of Poincaré recurrence in a system the size of a galaxy or a universe.<ref name=Tipler/><ref name=Gosson/> Philosopher [[Michael Huemer]] has argued that if this is so, then [[reincarnation]] can be proved by a person's current existence, using [[Bayesian probability theory]].<ref>{{cite journal |last1=Huemer |first1=Michael |title=Existence Is Evidence of Immortality |journal=Noûs |date=March 2021 |volume=55 |issue=1 |pages=128–151 |doi=10.1111/nous.12295|s2cid=171615368 |url=https://philpapers.org/archive/HUEEIE-2 }}</ref>
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