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arXiv · 1111.4035

Noncommutative sedeons and their application in field theory

Victor L. Mironov·Sergey V. Mironov
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Abstract

We present sixteen-component values "sedeons", generating associative noncommutative space-time algebra. The generalized second-order and first-order equations of relativistic quantum mechanics based on sedeonic wave function and sedeonic space-time operators are proposed. We also discuss the description of fields with massive quantum on the basis of second-order and first-order equations for sedeonic potentials.

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Victor L. Mironov, Sergey V. Mironov. 2015-02-26. Noncommutative sedeons and their application in field theory. https://doi.org/10.4236/am.2013.410a3009

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