dorsal/arxiv
View SchemaMaxwell's equations in 4-dimensional Euclidean space
| Authors | Jose B. Almeida |
|---|---|
| Categories | |
| ArXiv ID | physics/0403058 |
| URL | https://arxiv.org/abs/physics/0403058 |
Abstract
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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"abstract": "The paper formulates Maxwell\u0027s equations in 4-dimensional Euclidean space by\nembedding the electromagnetic vector potential in the frame vector $g_0$.\nRelativistic electrodynamics is the first problem tackled; in spite of using a\ngeometry radically different from that of special relativity, the paper derives\nrelativistic electrodynamics from space curvature. Maxwell\u0027s equations are then\nformulated and solved for free space providing solutions which rotate the\nvector potential on a plane; these solutions are shown equivalent to the usual\nspacetime formulation and are then discussed in terms of the hypersphere model\nof the Universe recently proposed by the author.",
"arxiv_id": "physics/0403058",
"authors": [
"Jose B. Almeida"
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"categories": [
"physics.gen-ph"
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"title": "Maxwell\u0027s equations in 4-dimensional Euclidean space",
"url": "https://arxiv.org/abs/physics/0403058"
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