English

Only Six Passive Circuit Elements Are Existent

Hardware Architecture 2021-10-08 v3

Abstract

We found that a second-order ideal memristor degenerates into a negative nonlinear resistor. This phenomenon is quite similar to what are observed in chemistry: a chemical element with a higher atomic number is unstable and may decay radioactively into another chemical element with a lower atomic number. After extending the above local activity (verified both graphically and analytically) to other higher-order circuit elements, we concluded that all higher-order passive memory circuit elements do not exist in nature and that the periodic table of the two-terminal passive circuit elements can be dramatically reduced to a six-pointed star comprising only six passive elements. Such a bounded table may mark the end of the hunt for missing higher-order passive circuit elements predicted nearly 40 years ago.

Cite

@article{arxiv.2109.03041,
  title  = {Only Six Passive Circuit Elements Are Existent},
  author = {Frank Z. Wang},
  journal= {arXiv preprint arXiv:2109.03041},
  year   = {2021}
}

Comments

10 pages, 12 figures

R2 v1 2026-06-24T05:45:12.375Z