Biquaternionic reformulation of multifluid plasma equations

S Demir, M Tanışlı, N Şahin, ME Kansu - Chinese journal of physics, 2017 - Elsevier
Extending the biquaternionic generalization of the Maxwell type equations of compressible
fluids, an effort has been introduced for the reformulation of analogous multifluid plasma …

Field equations in the complex quaternion spaces

ZH Weng - Advances in Mathematical Physics, 2014 - Wiley Online Library
The paper aims to adopt the complex quaternion and octonion to formulate the field
equations for electromagnetic and gravitational fields. Applying the octonionic …

Multifluid plasma equations in terms of hyperbolic octonions

S Demir, E Zeren - International Journal of Geometric Methods in …, 2018 - World Scientific
Stimulating from the hyperbolic octonionic generalization of the Maxwell-type equations of
compressible fluids, an alternative reformulation has been proposed for the analogous …

Quaternionic comparisons of electromagnetism using Lorentz transformations

ME Kansu, M Tanışlı, S Demir - The European Physical Journal Plus, 2020 - Springer
In this paper, by defining properties of the real and complex quaternion algebras, the
electromagnetic field equations including monopoles have been studied in\(\hbox {S}'\) …

Split octonion reformulation of generalized linear gravitational field equations

BC Chanyal - Journal of Mathematical Physics, 2015 - pubs.aip.org
In this paper, we describe the properties of split octonions and their connection with the 2× 2
Zorn vector matrix containing both scalar and vector components. Starting with a brief …

Two incompatible types of invariants in the octonion spaces

ZH Weng - International Journal of Geometric Methods in Modern …, 2022 - World Scientific
This paper aims to study some invariants and conservation laws relevant to electromagnetic
and gravitational fields by means of the rotational transformations of octonion coordinate …

A new approach on electromagnetism with dual number coefficient octonion algebra

BC Chanyal, SK Chanyal, Ö Bektaş… - International Journal of …, 2016 - World Scientific
Dual number coefficient octonion (DNCO) is one of the kind of octonion, it has 16
components with an additional dual unit ε. Starting with DNCO algebra, we develop the …

Gauge fields and four interactions in the trigintaduonion spaces

ZH Weng - Mathematical Methods in the Applied Sciences, 2025 - Wiley Online Library
The paper aims to apply the trigintaduonion spaces to explore the physical properties of four
interactions simultaneously, including the electromagnetic fields, gravitational fields, weak …

Classical geometrodynamics with Zorn vector-matrix algebra for gravito-dyons

BC Chanyal - Reports on Mathematical Physics, 2015 - Elsevier
Describing the properties of split octonions and their connection with the 2× 2 Zorn vector-
matrix, we have reformulated generalized linear gravitational field equations in terms of split …

Precessional angular velocity and field strength in the complex octonion space

ZH Weng - International Journal of Geometric Methods in Modern …, 2020 - World Scientific
The paper aims to apply the octonions to explore the precessional angular velocities of
several particles in the electromagnetic and gravitational fields. Some scholars utilize the …