dorsal/arxiv
View SchemaThe Proof that the Standard Transformations of E and B are not the Lorentz Transformations. Clifford Algebra Formalism
| Authors | Tomislav Ivezic |
|---|---|
| Categories | |
| ArXiv ID | physics/0304085 |
| URL | https://arxiv.org/abs/physics/0304085 |
| DOI | 10.1023/A:1025645428575 |
Abstract
In this paper it is exactly proved by using the Clifford algebra formalism that the standard transformations of the three-dimensional (3D) vectors of the electric and magnetic fields E and B are not the Lorentz transformations of well-defined quantities from the 4D spacetime but the 'apparent' transformations of the 3D quantities. Thence the usual Maxwell equations with the 3D E and B are not in agreement with special relativity. The 1-vectors E and B, as well-defined 4D quantities, are introduced instead of ill-defined 3D E and B.
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"abstract": "In this paper it is exactly proved by using the Clifford algebra formalism\nthat the standard transformations of the three-dimensional (3D) vectors of the\nelectric and magnetic fields E and B are not the Lorentz transformations of\nwell-defined quantities from the 4D spacetime but the \u0027apparent\u0027\ntransformations of the 3D quantities. Thence the usual Maxwell equations with\nthe 3D E and B are not in agreement with special relativity. The 1-vectors E\nand B, as well-defined 4D quantities, are introduced instead of ill-defined 3D\nE and B.",
"arxiv_id": "physics/0304085",
"authors": [
"Tomislav Ivezic"
],
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"physics.gen-ph",
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"doi": "10.1023/A:1025645428575",
"title": "The Proof that the Standard Transformations of E and B are not the Lorentz Transformations. Clifford Algebra Formalism",
"url": "https://arxiv.org/abs/physics/0304085"
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