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}
}
  • Victor L Mironov, Sergey V. Mironov
  • Published 2011
  • Physics, Mathematics
  • 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. 

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    2
    Twitter Mentions

    Tables from this paper.

    Citations

    Publications citing this paper.

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 23 REFERENCES

    S.V.Mironov – Sedeonic generalization of relativistic quantum mechanics

    • V. L. Mironov
    • International Journal of Modern Physics A,
    • 2009
    VIEW 3 EXCERPTS
    HIGHLY INFLUENTIAL

    Mironov – Octonic representation of electromagnetic field equations

    • S.V.V.L. Mironov
    • J. Math. Phys.,
    • 2009

    Mironov – Octonic second-order equations of relativistic quantum mechanics

    • S.V.V.L. Mironov
    • J. Math. Phys.,
    • 2009

    S.V.Mironov – Octonic first-order equations of relativistic quantum mechanics

    • V. L. Mironov
    • International Journal of Modern Physics A,
    • 2009
    VIEW 1 EXCERPT