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== Modern developments == * 1900 – [[Max Planck]] introduces the idea of [[Quantum|quanta]], introducing [[quantum mechanics]] * 1902 – [[James Jeans]] finds the length scale required for gravitational perturbations to grow in a static nearly homogeneous medium * 1905 – [[Albert Einstein]] first mathematically describes [[Brownian motion]] and introduces [[relativistic mechanics]] * 1915 – [[Emmy Noether]] proves [[Noether's theorem]], from which conservation laws are deduced * 1915 – [[Albert Einstein]] introduces [[general relativity]] * 1923 – [[Élie Cartan]] introduces the [[Newton–Cartan theory|geometrized Newtonian gravitation]], treating Newtonian gravitation in terms of spacetime.<ref>{{Cite book |last=Malament |first=David B. |url=https://www.google.fr/books/edition/Topics_in_the_Foundations_of_General_Rel/1Cd8yfbvanMC?hl=en&gbpv=1&dq=newton+cartan+theory&printsec=frontcover |title=Topics in the Foundations of General Relativity and Newtonian Gravitation Theory |date=2012-04-02 |publisher=University of Chicago Press |isbn=978-0-226-50247-2 |language=en}}</ref> * 1931–1932 – [[Bernard Koopman]] and [[John von Neumann]] papers led to the development of [[Koopman–von Neumann classical mechanics]].<ref>{{Cite journal |last=Joseph |first=Ilon |date=2020-10-19 |title=Koopman--von Neumann approach to quantum simulation of nonlinear classical dynamics |url=https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.043102 |journal=Physical Review Research |volume=2 |issue=4 |pages=043102 |doi=10.1103/PhysRevResearch.2.043102|arxiv=2003.09980 }}</ref> * 1952 – Parker develops a [[tensor]] form of the virial theorem<ref>{{cite journal | last = Parker | first = E.N. | year = 1954 | title = Tensor Virial Equations | journal = Physical Review | volume = 96 |issue = 6 | pages = 1686–1689 | doi = 10.1103/PhysRev.96.1686 | bibcode = 1954PhRv...96.1686P}}</ref> * 1954 – [[Andrey Kolmogorov]] publishes the first version of the [[Kolmogorov–Arnold–Moser theorem]].<ref name=":0" /> * 1961 – [[Edward Norton Lorenz]] discovers [[Lorenz system]]s and establishes the field of [[chaos theory]].<ref name=":0" /> * 1978 – [[Vladimir Arnold]] states precise form of [[Liouville–Arnold theorem]]<ref>V. I. Arnold, Mathematical Methods of Classical Mechanics, Graduate Texts in Mathematics (Springer, New York, 1978), Vol. 60.</ref> * 1983 – [[Mordehai Milgrom]] proposes [[modified Newtonian dynamics]] as an alternative to the [[dark matter]] hypothesis * 1992 – Udwadia and Kalaba create [[Udwadia–Kalaba equation]] * 2003 – [[John D. Norton]] introduces [[Norton's dome]]
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