In this paper, after presenting the hyperbolic quaternion formalism, an alternative
representational method is proposed for the formulation of classical and generalized …

In this paper, after presenting the biquaternion formalism, a new formulation is proposed for
the massive gravi-electromagnetism with monopole terms. By combining the generalized …

Extending the biquaternionic generalization of the Maxwell type equations of compressible
fluids, an effort has been introduced for the reformulation of analogous multifluid plasma …

In addition to the well-known Fermi properties of the Dirac equation, the hidden bosonic
properties of this equation are found. The bosonic symmetries, solutions, and the …

The paper aims to adopt the complex quaternion and octonion to formulate the field
equations for electromagnetic and gravitational fields. Applying the octonionic …

We present a generalization of the equations of hydrodynamics based on the
noncommutative algebra of space-time sedeons. It is shown that for vortex-less flow the …

We develop a quaternionic electrodynamics and show that it naturally supports the
existence of magnetic monopoles. We obtained the field equations, the continuity equation …

Stimulating from the hyperbolic octonionic generalization of the Maxwell-type equations of
compressible fluids, an alternative reformulation has been proposed for the analogous …

In this paper, by defining properties of the real and complex quaternion algebras, the
electromagnetic field equations including monopoles have been studied in\(\hbox {S}'\) …

Radiation heat transfer from two-dimensional anisotropic materials has promising
applications in nanodevices, such as non-contact thermal modulators, thermal lithography …