Asymptotic freedom and noninteger dimensionality

Abstract This paper shows that below a critical value of dimensionality that lies between two and three, the potential between objects begins to fall as the energy levels increase. For dimensionality below two, the potential becomes constant irrespective of separation and the force between them disa...

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Autor principal:	Subhash Kak
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/ba2a5e70fc114ce3992d9f85eebb17c1
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spelling	oai:doaj.org-article:ba2a5e70fc114ce3992d9f85eebb17c12021-12-02T14:26:48ZAsymptotic freedom and noninteger dimensionality10.1038/s41598-021-83002-92045-2322https://doaj.org/article/ba2a5e70fc114ce3992d9f85eebb17c12021-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-83002-9https://doaj.org/toc/2045-2322Abstract This paper shows that below a critical value of dimensionality that lies between two and three, the potential between objects begins to fall as the energy levels increase. For dimensionality below two, the potential becomes constant irrespective of separation and the force between them disappears, which represents a new paradigm of asymptotic freedom. Since asymptotic freedom is at the basis of many applications such as those associated with strange metals, unconventional superconductors, and fractional quantum Hall states, the new paradigm can have novel applications. It also is of relevance to the study of anomalous mechanical effects that are important in metamaterials.Subhash KakNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-5 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Subhash Kak Asymptotic freedom and noninteger dimensionality
description	Abstract This paper shows that below a critical value of dimensionality that lies between two and three, the potential between objects begins to fall as the energy levels increase. For dimensionality below two, the potential becomes constant irrespective of separation and the force between them disappears, which represents a new paradigm of asymptotic freedom. Since asymptotic freedom is at the basis of many applications such as those associated with strange metals, unconventional superconductors, and fractional quantum Hall states, the new paradigm can have novel applications. It also is of relevance to the study of anomalous mechanical effects that are important in metamaterials.
format	article
author	Subhash Kak
author_facet	Subhash Kak
author_sort	Subhash Kak
title	Asymptotic freedom and noninteger dimensionality
title_short	Asymptotic freedom and noninteger dimensionality
title_full	Asymptotic freedom and noninteger dimensionality
title_fullStr	Asymptotic freedom and noninteger dimensionality
title_full_unstemmed	Asymptotic freedom and noninteger dimensionality
title_sort	asymptotic freedom and noninteger dimensionality
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/ba2a5e70fc114ce3992d9f85eebb17c1
work_keys_str_mv	AT subhashkak asymptoticfreedomandnonintegerdimensionality
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Asymptotic freedom and noninteger dimensionality

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