dorsal/arxiv
View SchemaA remark on an ansatz by M.W. Evans and the so-called Einstein-Cartan-Evans unified field theory
| Authors | Friedrich W. Hehl |
|---|---|
| Categories | |
| ArXiv ID | physics/0612026 |
| URL | https://arxiv.org/abs/physics/0612026 |
Abstract
M.W.Evans tried to relate the electromagnetic field strength to the torsion of a Riemann-Cartan spacetime. We show that this ansatz is untenable for at least two reasons: (i) Geometry: Torsion is related to the (external) translation group and cannot be linked to an internal group, like the U(1) group of electrodynamics. (ii) Electrodynamics: The electromagnetic field strength as a 2-form carries 6 independent components, whereas Evans' electromagnetic construct F^\a is a vector-valued 2-form with 24 independent components. This doesn't match. One of these reasons is already enough to disprove the ansatz of Evans.
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"abstract": "M.W.Evans tried to relate the electromagnetic field strength to the torsion\nof a Riemann-Cartan spacetime. We show that this ansatz is untenable for at\nleast two reasons: (i) Geometry: Torsion is related to the (external)\ntranslation group and cannot be linked to an internal group, like the U(1)\ngroup of electrodynamics. (ii) Electrodynamics: The electromagnetic field\nstrength as a 2-form carries 6 independent components, whereas Evans\u0027\nelectromagnetic construct F^\\a is a vector-valued 2-form with 24 independent\ncomponents. This doesn\u0027t match. One of these reasons is already enough to\ndisprove the ansatz of Evans.",
"arxiv_id": "physics/0612026",
"authors": [
"Friedrich W. Hehl"
],
"categories": [
"physics.class-ph",
"gr-qc",
"physics.gen-ph"
],
"title": "A remark on an ansatz by M.W. Evans and the so-called Einstein-Cartan-Evans unified field theory",
"url": "https://arxiv.org/abs/physics/0612026"
},
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