‘Clifford Algebra’ Complex Numbers For 3-D Vector Representation

The use of quaternions has historically been an approach to extend complex numbers to represent 3-D vectors. This quaternion representation is not unique. It is shown that an alternative approach to such an extension is to define complex numbers obeying a Clifford algebra different from those of qua...

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Bibliographic Details
Published inJournal of Engineering and Applied Sciences Technology pp. 1 - 3
Main Author Pellegrini, Gerald N
Format Journal Article
LanguageEnglish
Published 30.06.2025
Online AccessGet full text
ISSN2634-8853
2634-8853
DOI10.47363/JEAST/2025(7)316

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Summary:The use of quaternions has historically been an approach to extend complex numbers to represent 3-D vectors. This quaternion representation is not unique. It is shown that an alternative approach to such an extension is to define complex numbers obeying a Clifford algebra different from those of quaternions. Such an algebra is not new but appears to be preferable and less likely to cause confusion.
ISSN:2634-8853
2634-8853
DOI:10.47363/JEAST/2025(7)316