Spacetime algebra for the reformulation of fluid field equations

S Demir, M Tanışlı - International Journal of Geometric Methods in …, 2017 - World Scientific
In the light of the analogy between electromagnetism and fluid dynamics, the Maxwell-type
equations of compressible fluids are reformulated on the basis of spacetime algebra. In this …

Octonic gravitational field equations

S Demir, M Tanişli, T Tolan - International Journal of Modern Physics …, 2013 - World Scientific
Generalized field equations of linear gravity are formulated on the basis of octons. When
compared to the other eight-component noncommutative hypercomplex number systems, it …

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 …

A Derivation of Fluidic Maxwell-Proca Equations for Electrodynamics of Superconductors & Its Implication to Chiral Cosmology Model

V Christianto, F Smarandache… - … Papers. Volume XI: On …, 2022 - books.google.com
Mario Liu described a hydrodynamic Maxwell equations [3] and, also discussed potential
implications of these new approaches to superconductors which were made after Tajmar's …

Phenomenology from Dirac Equation with Euclidean-Minkowskian “Gravity Phase”

J Köplinger - International Journal of Theoretical Physics, 2023 - Springer
Over the past decades, many authors advertised models on complexified spacetime
algebras for use in describing gravity. This work aims at providing phenomenological …

A Derivation of GravitoElectroMagneticProca-type Equations in Fractional Space

V Christianto - Prespacetime Journal, 2014 - prespacetime.com
In a recent paper, M. Zubair et al. described a novel approach for fractional space
generalization of the differential electromagnetic equations. A new form of vector differential …

[PDF][PDF] A derivation of proca equations on cantor sets: a local fractional approach

V Christianto, B Rahul - Bulletin of Mathematical Sciences & …, 2014 - academia.edu
In a recent paper published at Advances in High Energy Physics (AHEP) journal, Yang Zhao
et al. derived Maxwell equations on Cantor sets from the local fractional vector calculus. It …

London-Proca-Hirsch equations for electrodynamics of superconductors on Cantor Sets

V Christianto, F Smarandache - Victor Christianto| Florentin …, 2018 - books.google.com
In a recent paper published at Advances in High Energy Physics (AHEP) journal, Yang Zhao
et al. derived Maxwell equations on Cantor sets from the local fractional vector calculus. It …

Gravitomagnetism and Gravitational Waves in Galileo-Newtonian Physics

H Behera - arXiv preprint arXiv:1907.09910, 2019 - arxiv.org
Adopting Schwinger's formalism for inferring Maxwell-Lorentz equations (MLEs) and
combining three ingredients:(i) the laws of gravitostatics,(ii) the Galileo-Newton principle of …

Reformulation of multifluid plasma equations in terms of spacetime algebra

S Demir, M Tanişli, N Şahin, ME Kansu - Journal of the Korean Physical …, 2018 - Springer
Using the exact isomorphism between multifluid plasma theory and classical
electromagnetism, we apply the theorems and techniques of spacetime algebra to the …