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Invetigations of special theory of relativity and lorentz transformations with clifford algebras

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Abstract (EN)

In this study, basic concepts in Clifford algebras were introduced.Furthermore, the general properties and matrix representations of Cliffordalgebras were given, as well. Bivectors were explained. They were used asrotation and reflection operators. Paravectors were introduced. The generalinformations about Special Theory of Relativity, Galilei and Lorentztransformations, Space-Time diagrams and Minkowski space were given. Cliffordalgebras are successfully used in various fields of physics. In addition, afterliterature review was conducted, some practical applications of Clifford algebrasto the Special Theory of Relativity, Lorentz transformations and Minkowski spacewere presented.Keywords: Clifford algebra, Special Relativity, Lorentz transformations,Minkowski space, Paravectorsi

Author

Haluk Özenir

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Haluk Özenir (Master Thesis). Invetigations of special theory of relativity and lorentz transformations with clifford algebras, 2006, Anadolu University.

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