# Noncommutative sedeons and their application in field theory

@inproceedings{Mironov2011NoncommutativeSA, title={Noncommutative sedeons and their application in field theory}, author={Victor L Mironov and Sergey V. Mironov}, year={2011} }

We present sixteen-component values “sedeons”, generating associative noncommutative space-time algebra. The generalized field equations based on sedeonic potentials and space-time operators are proposed. It is shown that the sedeonic second-order wave equation for massive field can be represented in the form of the system of Maxwell-like first order equations. The sedeonic generalization of first order Dirac equation for massive and massless fields is also discussed.

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## Associative Space-Time Sedenions and Their Application in Relativistic Quantum Mechanics and Field Theory

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