THE STUDY OF CLASSICS PARTICLES' ENERGY AT ARCHIMEDEAN SOLIDS WITH CLIFFORD ALGEBRA

Yıl 2019, Cilt 20, Sayı , 170 - 180, 16.12.2019

Şadiye ÇAKMAK Abidin KILIÇ

https://doi.org/10.18038/estubtda.649511

Öz

Geometric algebras known as a generalization of Grassmann algebras complex numbers and quaternions are presented by Clifford (1878).  Geometric algebra describing the geometric symmetries of both physical space and spacetime is a strong language for physics. Groups generated from `Clifford numbers` are firstly defined by Lipschitz (1886).  They are used for defining rotations in a Euclidean space. In this work, Clifford algebra is identified. The energy of classic particles with Clifford algebra are defined. This calculations are applied to some Archimedean solids. Also, the vertices of Archimedean solids presented in the Cartesian coordinates are calculated.

Anahtar Kelimeler

Clifford Algebra, Archimedes Solids, Platonic Solids

Öz

Kaynakça

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