An analogy between macroscopic and microscopic systems for Maxwell's equations in higher dimensions

摘要

In this study, Maxwell's equations are discussed for macroscopic and microscopic systems by obtaining them from free and bound charge and current densities. In addition to electric and magnetic fields, the polarization and magnetization vectors are defined by the hyperbolic octonion basis. Finally, by introducing the hyperbolic octonionic field equation, for the first time, the hyperbolic octonionic source equation is represented in a simple, useful and elegant manner in terms of free charge, free and bound current densities.