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 JAMP  Vol.8 No.12 , December 2020
On a Hypothetical Vector Field Associated with the Classic Electromagnetic Wave in a Space of Four Dimensions
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.
Cite this paper: Moreira, L. (2020) On a Hypothetical Vector Field Associated with the Classic Electromagnetic Wave in a Space of Four Dimensions. Journal of Applied Mathematics and Physics, 8, 2836-2845. doi: 10.4236/jamp.2020.812209.
References

[1]   Simal Moreira, L. (2013) Geometric Analogy and Products of Vectors in n Dimensions. Advances in Linear Algebra & Matrix Theory, 3, 1-6.
https://doi.org/10.4236/alamt.2013.31001

[2]   Simal Moreira, L. (2014) On the Rotation of a Vector Field in a Four-Dimensional Space. Applied Mathematics, 5, 128-136.
https://doi.org/10.4236/am.2014.51015

[3]   Nussenzveig, H.M. (2015) Curso de Física Básica Vol 3. 2nd Edition, Blucher, São Paulo.

 
 
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