The Un(solv)able Problem.

• Autores: Toby S. Cubitt , David Pérez García , Michael Wolf
• Localización: Scientific American, ISSN 0036-8733, Vol. 319, Nº. 4, 2018, págs. 28-37
• Idioma: inglés
• DOI: 10.1038/scientificamerican1018-28
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• Resumen

  • The article describes an unsolvable problem in physics: the undecidability of the spectral gap. Particular focus is given to how this relates to 20th-century mathematical results by Kurt Gödel and Alan Turing and quantum physics. Other topics discussed include further details on the mathematics of quantum mechanics, the work of the German mathematician David Hilbert, and how the work of the author gives mathematical proof that one of the basic questions of quantum physics cannot be solved in general.