Relativity in Clifford's Geometric Algebras of Space and Spacetime

  title={Relativity in Clifford's Geometric Algebras of Space and Spacetime},
  author={W. E. Baylis and G. Sobczyk},
  journal={International Journal of Theoretical Physics},
Of the various formalisms developed to treat relativistic phenomena, those based on Clifford's geometric algebra are especially well adapted for clear geometric interpretations and computational efficiency. Here we study relationships between formulations of special relativity in the spacetime algebra (STA) Cℓ1,3 of the underlying Minkowski vector space, and in the algebra of physical space (APS) Cℓ3. STA lends itself to an absolute formulation of relativity, in which paths, fields, and other… Expand
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