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An Alternative Mathematical Model For Special Relativity

G. Tsabary·A. Censor
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Abstract

We present a mathematical model for a physical theory that is compatible with Einstein's Special Relativity Theory. Our model consists of three pseudo-complex dimensions, representing three real dimensions of space, dual to what could be interpreted as three real dimensions of time. We use the term "pseudo-complex", since the mathematical object representing each paired space-time coordinate in our model, is a two-dimensional space over $\mathbb{R}$ whose multiplication makes it into a non-commutative non-associative algebra. We have been unable to find records of this very elementary mathematical object in the literature.

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G. Tsabary, A. Censor. 2004-02-19. An Alternative Mathematical Model For Special Relativity. https://doi.org/10.1393/ncb%2Fi2005-10006-7

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