Algebra of paravectors

Radomański Józef

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arXiv · 1601.02965

Algebra of paravectors

Radomański Józef

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Abstract

Paravectors just like integers have a ring structure. By introducing an integrated product we get geometric properties which make paravectors similar to vectors. The concepts of parallelism, perpendicularity and the angle are conceptually similar to vector counterparts, known from the Euclidean geometry. Paravectors meet the idea of parallelogram law, Pythagorean theorem and many other properties well-known to everyone.

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Radomański Józef. 2016-01-12. Algebra of paravectors. https://arxiv.org/abs/1601.02965

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