Iterants, Majorana Fermions and the Majorana-Dirac Equation
This paper explains a method of constructing algebras, starting with the properties of discrimination in elementary discrete systems. We show how to use points of view about these systems to construct what we call iterant algebras and how these algebras naturally give rise to the complex numbers, Cl...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/8/1373 |
| _version_ | 1797521997522010112 |
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| author | Louis H. Kauffman |
| author_facet | Louis H. Kauffman |
| author_sort | Louis H. Kauffman |
| collection | DOAJ |
| description | This paper explains a method of constructing algebras, starting with the properties of discrimination in elementary discrete systems. We show how to use points of view about these systems to construct what we call iterant algebras and how these algebras naturally give rise to the complex numbers, Clifford algebras and matrix algebras. The paper discusses the structure of the Schrödinger equation, the Dirac equation and the Majorana Dirac equations, finding solutions via the nilpotent method initiated by Peter Rowlands. |
| first_indexed | 2024-03-10T08:20:21Z |
| format | Article |
| id | doaj.art-4c0d8cabd5d543c99346a0ff7b2fe0d4 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T08:20:21Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-4c0d8cabd5d543c99346a0ff7b2fe0d42023-11-22T10:00:18ZengMDPI AGSymmetry2073-89942021-07-01138137310.3390/sym13081373Iterants, Majorana Fermions and the Majorana-Dirac EquationLouis H. Kauffman0Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 South Morgan Street, Chicago, IL 60607-7045, USAThis paper explains a method of constructing algebras, starting with the properties of discrimination in elementary discrete systems. We show how to use points of view about these systems to construct what we call iterant algebras and how these algebras naturally give rise to the complex numbers, Clifford algebras and matrix algebras. The paper discusses the structure of the Schrödinger equation, the Dirac equation and the Majorana Dirac equations, finding solutions via the nilpotent method initiated by Peter Rowlands.https://www.mdpi.com/2073-8994/13/8/1373discretecomplex numberiterantnilpotentClifford algebraspacetime algebra |
| spellingShingle | Louis H. Kauffman Iterants, Majorana Fermions and the Majorana-Dirac Equation Symmetry discrete complex number iterant nilpotent Clifford algebra spacetime algebra |
| title | Iterants, Majorana Fermions and the Majorana-Dirac Equation |
| title_full | Iterants, Majorana Fermions and the Majorana-Dirac Equation |
| title_fullStr | Iterants, Majorana Fermions and the Majorana-Dirac Equation |
| title_full_unstemmed | Iterants, Majorana Fermions and the Majorana-Dirac Equation |
| title_short | Iterants, Majorana Fermions and the Majorana-Dirac Equation |
| title_sort | iterants majorana fermions and the majorana dirac equation |
| topic | discrete complex number iterant nilpotent Clifford algebra spacetime algebra |
| url | https://www.mdpi.com/2073-8994/13/8/1373 |
| work_keys_str_mv | AT louishkauffman iterantsmajoranafermionsandthemajoranadiracequation |