TITLE:
On a Hypothetical Vector Field Associated with the Classic Electromagnetic Wave in a Space of Four Dimensions
AUTHORS:
Leonardo Simal Moreira
KEYWORDS:
Dimensional Analogy, Electromagnetic Wave, Four-Dimensional Space, Vector Fields in Four Dimensions, Analog of Maxwell’s Equations
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.12,
December
16,
2020
ABSTRACT: In two previous papers [1] and [2], a structure for vector products in n dimensions was presented, and at the same time it was possible to propose the existence of a vector analogous to the curl of a vector field, for a space of four dimensions. In continuation of these works, the objective is to develop, through dimensional analogy, the idea of a hypothetical vector field, associated with the classical electromagnetic wave. This hypothetical field has a possible mathematical existence only when considering a space of four dimensions. The properties of the electromagnetic wave are preserved and equations with mathematical forms analogous to those of Maxwell’s equations are presented.