


Victor L.
Mironov 
Sedeonic field theory 

Site menu ● Octons ● Sedeons 
Victor Mironov and Sergey Mironov The
publications concerning 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. S.V.Mironov, V.L.Mironov  Sedeonic theory of massive fields 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. 


Web site was developed by
Victor L. Mironov 