Topic
Split-octonion
About: Split-octonion is a research topic. Over the lifetime, 40 publications have been published within this topic receiving 1603 citations.
Papers
Posted Content•
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17 May 2001
TL;DR: The octonions are the largest of the four normed division algebras and stand at the crossroads of many interesting fields of mathematics as discussed by the authors, including quantum logic, special relativity and supersymmetry.
Abstract: The octonions are the largest of the four normed division algebras While somewhat neglected due to their nonassociativity, they stand at the crossroads of many interesting fields of mathematics Here we describe them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups We also touch upon their applications in quantum logic, special relativity and supersymmetry
1,016 citations
TL;DR: In this paper, the generalized potential, generalized field, and generalized current of dyons in terms of split octonions are obtained in a compact and consistent manner, which reproduces the dynamic of electric (magnetic) in the absence of magnetic charges.
Abstract: Starting with the usual definitions of octonions and split octonions in terms of Zorn vector matrix realization, we have made an attempt to write the consistent form of generalized Maxwell’s equations in presence of electric and magnetic charges (dyons). We have thus written the generalized potential, generalized field, and generalized current of dyons in terms of split octonions and accordingly the split octonion forms of generalized Dirac Maxwell’s equations are obtained in compact and consistent manner. This theory reproduces the dynamic of electric (magnetic) in the absence of magnetic (electric) charges.
51 citations
TL;DR: In this article, the generalized potential, generalized field, and generalized current of dyons in terms of split octonions are obtained in a compact and consistent manner, which reproduces the dynamic of electric (magnetic) in the absence of magnetic charges.
Abstract: Starting with the usual definitions of octonions and split octonions in terms of Zorn vector matrix realization, we have made an attempt to write the consistent form of generalized Maxwell's equations in presence of electric and magnetic charges (dyons). We have thus written the generalized potential, generalized field, and generalized current of dyons in terms of split octonions and accordingly the split octonion forms of generalized Dirac Maxwell's equations are obtained in compact and consistent manner. This theory reproduces the dynamic of electric (magnetic) in the absence of magnetic (electric) charges.
40 citations
TL;DR: In this paper, the split octonion formalism for unified fields of dyons and gravito-dyons is used to derive field equations in compact, simpler and manifestly covariant forms.
Abstract: Demonstrating the split octonion formalism for unified fields of dyons (electromagnetic fields) and gravito-dyons (gravito-Heavisidian fields of linear gravity), relevant field equations are derived in compact, simpler and manifestly covariant forms. It has been shown that this unified model reproduces the dynamics of structure of fields associated with individual charges (masses) in the absence of others.
27 citations
Journal Article•
14 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 1 |
| 2019 | 3 |
| 2018 | 3 |
| 2017 | 3 |
| 2015 | 3 |
| 2014 | 3 |