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Asymptotic Freedom in Noninteger Dimensional Spaces

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posted on 23.11.2020, 13:45 by Subhash Kak
This paper shows that as the dimensionality of a noninteger dimensional falls below 2, the potential becomes constant irrespective of separation between objects 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 of strange metals, unconventional superconductors, and fractional quantum Hall states, the new paradigm presented here can potentially have new and unexpected applications. It also is of relevance to the study of anomalous mechanical effects that are important in metamaterials.

History

Email Address of Submitting Author

subhash.kak@okstate.edu

ORCID of Submitting Author

https://orcid.org/0000-0001-5426-9759

Submitting Author's Institution

Oklahoma State University

Submitting Author's Country

United States of America

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