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Learn how to construct ordered phases that remain stable at arbitrarily high temperatures in this physics lecture from the Boulder School of Science 2025. Explore the theoretical frameworks and mathematical techniques used to build systems that maintain order despite extreme thermal conditions, examining the fundamental principles that allow certain phases of matter to resist thermal disorder. Discover the conditions under which traditional thermodynamic expectations can be violated and ordered states can persist at any temperature, with detailed mathematical derivations and physical insights into these exotic quantum many-body systems.
