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, the real, complex octonion algebra and their properties are defined. The
electromagnetic and gravito-electromagnetic equations with monopoles in terms of S and S …

The equations of compressible ideal fluids analogous to those of electromagnetism are
reformulated in terms of hyperbolic octonions. Furthermore, the wave equations with source …

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 …

Although the origins of electromagnetic theory and the fluid mechanics are completely
different, the compressible ideal fluid equations can be expressed in a form analogous to …

The close analogy between electromagnetic theory and linear gravity is discussed by the
hyperbolic (split) octonion formalism. Using the similarities between the relevant field …

In this paper, the conic sedenionic formulation is presented for the unification of generalized
field equations of dyons (electromagnetic theory) and gravito-dyons (linear gravity) …

In this paper, the Maxwell-Proca type field equations of linear gravity are formulated in terms
of hyperbolic octonions (split octonions). A hyperbolic octonionic gravitational wave …

Prior work on space-time sedeon algebra models relativistic quantum mechanical equation
of motion with corresponding field equations, mediated by massive or massless spin-1 or …

In this study, after introducing the hyperbolic octonionic (counteroctonion) algebra and its
properties, Maxwell's equations with magnetic monopole and currents, Lorenz conditions for …