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www.thoughtexperiments.net | ||
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www.quantamagazine.org
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| | | | | A new thought experiment indicates that quantum mechanics doesn't work without strange numbers that turn negative when squared. | |
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damitr.org
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www.preposterousuniverse.com
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| | | | | [AI summary] The text discusses the implications of quantum mechanics and the concept of expected energy in quantum systems. It highlights the difference between the average energy of a quantum state and the energy of the system post-measurement, emphasizing that the former is a statistical average while the latter is determined by the measurement outcome. The discussion also touches on the broader context of quantum theory, including the role of measurement and the probabilistic nature of quantum states. Additionally, it references the importance of energy in physical processes and the connection to classical thermodynamics, suggesting that while quantum mechanics provides a framework for understanding energy at a fundamental level, classical concepts still... | |
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www.jeremykun.com
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| | | This proof assumes knowledge of complex analysis, specifically the notions of analytic functions and Liouville's Theorem (which we will state below). The fundamental theorem of algebra has quite a few number of proofs (enough to fill a book!). In fact, it seems a new tool in mathematics can prove its worth by being able to prove the fundamental theorem in a different way. This series of proofs of the fundamental theorem also highlights how in mathematics there are many many ways to prove a single theorem... | ||
