Topological Electronics: From Infinity to Six

Topology captures the essence of what remains unchanged under a transformation. In this study, a topological invariant called super conformality was found to preserve a critical angle between the constitutive plane and its second order differential plane for a two-terminal electric element as buildi...

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Bibliographic Details
Published in:arXiv.org 2023-06
Main Author: Wang, Frank Z
Format: Article
Language:English
Subjects:
Circuits
Critical angle
Electronics
Periodic table
Topology
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Summary:Topology captures the essence of what remains unchanged under a transformation. In this study, a topological invariant called super conformality was found to preserve a critical angle between the constitutive plane and its second order differential plane for a two-terminal electric element as building blocks of modern electronics. This super conformality leads to local activity of a higher-order electric element so that the periodic table of the electric elements can be dramatically reduced to have only 6 passive ones, in contrast to the unbounded table predicted 40 years ago. Our claim that all the higher-order electric elements must be active was experimentally verified by the fact that a 2nd-order sodium memristor in the famous Hodgkin-Huxley circuit is locally active with an internal battery.
ISSN:2331-8422
DOI:10.48550/arxiv.2306.13173