Victor Mironov and Sergey Mironov
The publications conserning application of sedeons in field theory
V.L.Mironov, S.V.Mironov  Noncommutative sedeons and their application in field theory //ArXiv http://arxiv.org/abs/1111.4035
We present sixteencomponent values "sedeons", generating associative noncommutative spacetime algebra. The generalized relativistic wave equations based on sedeonic wave function and spacetime operators are proposed. It is shown that the sedeonic secondorder wave equation for massive field can be represented in the form of the system of Maxwelllike firstorder equations for field's intensities. The sedeonic firstorder Diraclike equations for massive and massless fields are also discussed.
V.L.Mironov, S.V.Mironov, S.A.Korolev  Sedeonic theory of massless fields // ArXiv http://arxiv.org/abs/1206.5969
In present paper we develop the description of massless fields on the basis of spacetime algebra of sixteencomponent sedeons. The generalized sedeonic secondorder equation for unified gravitoelectromagnetic (GE) field describing simultaneously gravity and electromagnetism is proposed. The secondorder relations for the GE field energy, momentum and Lorentz invariants are derived. We also discuss the sedeonic firstorder Diraclike equation for the massless field.
In the present paper we develop the description of massive fields on the basis of spacetime algebra of sixteencomponent sedeons. The generalized sedeonic secondorder equation for the potential of baryon field is proposed. It is shown that this equation can be reformulated in the form of a system of Maxwelllike equations for the field intensities. We calculate the baryonic fields in the simple model of point baryon charge and obtain the expression for the baryonbaryon interaction energy. We also propose the generalized sedeonic firstorder equation for the potential of lepton field and calculate the energies of leptonlepton and leptonbaryon interactions.
V.L.Mironov, S.V.Mironov – Reformulation of relativistic quantum mechanics equations with noncommutative sedeons // Applied mathematics, 4(10C), 5360 (2013).
We present sixteencomponent values "sedeons", generating associative noncommutative spacetime algebra. The generalized relativistic wave equations based on sedeonic wave function and spacetime operators are proposed. We demonstrate that sedeonic secondorder wave equation for massive field can be reformulated as the quasiclassical equation for the potentials of the field or in equivalent form as the Maxwelllike equations for the field intensities. The sedeonic firstorder Diraclike equations for massive and massless fields are also discussed.
V.L.Mironov, S.V.Mironov – Sedeonic equations of gravitoelectromagnetism // Journal of Modern Physics, 5(10), 917927 (2014).
In present paper we develop the description of massless fields on the basis of spacetime algebra of sixteencomponent sedeons. The generalized sedeonic secondorder equation for unified gravitoelectromagnetic (GE) field describing simultaneously weak gravity and electromagnetism is proposed. The relations for the GE field energy, momentum and Lorentz invariants are derived. The special case of GE field described by firstorder sedeonic wave equation is also discussed.
S.V.Mironov, V.L.Mironov – Sedeonic equations of massive fields // International Journal of Theoretical Physics, 54(1), 153168 (2015).
In the present paper we develop the description of massive fields on the basis of spacetime algebra of sixteencomponent sedeons. The generalized sedeonic secondorder equation for the potential of baryon field is proposed. It is shown that this equation can be reformulated in the form of a system of Maxwelllike equations for the field intensities. We calculate the baryonic fields in the simple model of point baryon charge and obtain the expression for the baryonbaryon interaction energy. We also propose the generalized sedeonic firstorder equation for the potential of lepton field and calculate the energies of leptonlepton and leptonbaryon interactions.
