Maxwell's equations in 4-dimensional Euclidean space

Details Maxwell's equations in 4-dimensional Euclidean space Maxwell's equations in 4-dimensional Euclidean space

2004-03-09

arxiv.org/abs/physics/0403058v1

Physics

General Physics

13 pages

Scientific paper

The paper formulates Maxwell's equations in 4-dimensional Euclidean space by embedding the electromagnetic vector potential in the frame vector $g_0$. Relativistic electrodynamics is the first problem tackled; in spite of using a geometry radically different from that of special relativity, the paper derives relativistic electrodynamics from space curvature. Maxwell's equations are then formulated and solved for free space providing solutions which rotate the vector potential on a plane; these solutions are shown equivalent to the usual spacetime formulation and are then discussed in terms of the hypersphere model of the Universe recently proposed by the author.

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