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From viewpoints of crystallography and of elementary particles, we explore symmetries of multivectors in the Clifford geometric algebras \(Cl(3,1)\) and \(Cl(1,3)\) that can both be used to describe space-time.

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On Clifford Geometric Space-Time Algebras and Symmetries

  • 会议论文

  • 发表日期：

    2025年

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  • Eckhard Hitzer

摘要

From viewpoints of crystallography and of elementary particles, we explore symmetries of multivectors in the Clifford geometric algebras \(Cl(3,1)\) and \(Cl(1,3)\) that can both be used to describe space-time.