Quaternion Gravi-Electromagnetism

@article{Rawat2012QuaternionG,
  title={Quaternion Gravi-Electromagnetism},
  author={A. S. Rawat and O. P. S. Negi},
  journal={International Journal of Theoretical Physics},
  year={2012},
  volume={51},
  pages={738-745}
}
  • A. S. Rawat, O. Negi
  • Published 5 July 2011
  • Physics
  • International Journal of Theoretical Physics
Defining the generalized charge, potential, current and generalized fields as complex quantities where real and imaginary parts represent gravitation and electromagnetism respectively, corresponding field equation, equation of motion and other quantum equations are derived in manifestly covariant manner. It has been shown that the field equations are invariant under Lorentz as well as duality transformations. It has been shown that the quaternionic formulation presented here remains invariant… 
Dual-complex quaternion representation of gravitoelectromagnetism
TLDR
The generalized description of electromagnetism and linear gravity based on the combined dual numbers and complex quaternion algebra is proposed and the similarity and isomorphism of distinctive algebraic structures are revealed.
Octonic massless field equations
In this paper, it is proven that the associative octons including scalar, pseudoscalar, pseudovector and vector values are convenient and capable tools to generalize the Maxwell–Dirac like field
Quaternion Electromagnetism and the Relation with Two-Spinor Formalism
By using complex quaternion, which is the system of quaternion representation extended to complex numbers, we show that the laws of electromagnetism can be expressed much more simply and concisely.
Quaternionic representation of electromagnetism for material media
  • M. E. Kansu
  • Geology
    International Journal of Geometric Methods in Modern Physics
  • 2019
In this study, the electromagnetic fields are developed in the presence of both the electric and magnetic induction fields by quaternion algebra. In this sense, the polarization and magnetization
Space-time algebra for the generalization of gravitational field equations
The Maxwell–Proca-like field equations of gravitolectromagnetism are formulated using space-time algebra (STA). The gravitational wave equation with massive gravitons and gravitomagnetic monopoles
Elliptic biquaternionic equations of gravitoelectromagnetism
In this paper, we propose to write the generalization of gravity, including the Proca‐type and gravitomagnetic monopole terms through a new algebraic structure elliptic biquaternions. The most
Generalized Hyperbolic Octonion Formulation for the Fields of Massive Dyons and Gravito-Dyons
The close analogy between electromagnetic theory and linear gravity is discussed by the hyperbolic (split) octonion formalism. Using the similarities between the relevant field equations of massive
Octonic Massive Field Equations
In the present paper we propose the octonic form of massive field equations based on the analogy with electromagnetism and linear gravity. Using the advantages of octon algebra the
Reformulation of electromagnetic and gravito-electromagnetic equations for Lorentz system with octonion algebra
In this paper, the real, complex octonion algebra and their properties are defined. The electromagnetic and gravito-electromagnetic equations with monopoles in terms of S and $$\hbox {S}^{\prime
Quaternion Algebra on 4D Superfluid Quantum Space-Time. Dirac’s Ghost Fermion Fields.
Ghost Dirac’s fermions are a manifestation of virtual particles. One fermion is the particle whose companion is the antiparticle. An ensemble of these fermions coupled in pairs represents the
...
...

References

SHOWING 1-10 OF 32 REFERENCES
Generalized Gravi—Electromagnetism
A self consistant and manifestly covariant theory for the dynamics of four charges (masses) (namely electric, magnetic, gravitational, Heavisidian) has been developed in simple, compact and
Theory of quaternion angular momentum for unified fields of dyons
Unified quaternionic angular momentum for the fields of dyons and gravito-dyons has been developed and the commutation relations for dynamical variables are obtained in compact and consistent manner.
Quaternionic formulation for generalized field equations in the presence of dyons
SummaryThe quaternionic formulation of generalized field equations of the field associated with dyons has been developed and it has been shown that the quaternionic generalized field equations are
Comments on « Heavisidian Monopoles and Quantization of Gravitational charge »
SummaryRecently Singh has derived the expression for the angular momentum of a gravito-dyon (particle carrying gravitational and Heavisidian charges). We found this result unacceptable due to its
Unification of generalized electromagnetic and gravitational fields
Structural symmetry between generalized gravitational field (gravito‐Heavisidian field) and the generalized electromagnetic field associated with dyons has been demonsttrated, and the field
Quaternion gauge theory of dyonic fields
Outlining the idea of quaternion non-Abelian gauge formalism and that of the structural symme­ try between generalized fields of dyons and gravito-dyons, it is shown that this formulation character­
Null tetrad formulation of non-Abelian dyons
Starting with a brief description of dyons and gravito-dyons, combined field equations and the equation of motion for generalized electromagnetic and generalized gravito-Heavisidian fields are
Quaternionic formulation for dyons
SummaryA quaternionic formulation for generalized potential, current, Lagrangian and field with their interrelationships, has been carried out in the presence of dyons in a unique and consistent
The Gravitational analogues of magnetic monopoles
The analogy between gravitation and electromagnetic theory is discussed and used to obtain, for linearized gravitation theory, an analogue of the magnetic monopole. This analogue results in a
Poles with Both Magnetic and Electric Charges in Nonabelian Gauge Theory
We show that a non-Abelian gauge theory with Higgs fields exhibits classical solutions which are both electrically and magnetically charged. This represents a specific realization of the dyons
...
...