dorsal/arxiv
View SchemaTranslational invariance and the space-time Lorentz transformation with arbitrary spatial coordinates
| Authors | J. H. Field |
|---|---|
| Categories | |
| ArXiv ID | physics/0703185 |
| URL | https://arxiv.org/abs/physics/0703185 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
Translational invariance requires that physical predictions are independent of the choice of spatial coordinate system used. The time dilatation effect of special relativity is shown to manifestly respect this invariance. Consideration of the space-time Lorentz transformation with arbitrary spatial coordinates shows that the spurious `length contraction' and `relativity of simultaneity' effects --the latter violating translational invariance-- result from the use of a different spatial coordinate system to describe each of two spatially separated clocks at rest in a common inertial frame
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"abstract": "Translational invariance requires that physical predictions are independent\nof the choice of spatial coordinate system used. The time dilatation effect of\nspecial relativity is shown to manifestly respect this invariance.\nConsideration of the space-time Lorentz transformation with arbitrary spatial\ncoordinates shows that the spurious `length contraction\u0027 and `relativity of\nsimultaneity\u0027 effects --the latter violating translational invariance-- result\nfrom the use of a different spatial coordinate system to describe each of two\nspatially separated clocks at rest in a common inertial frame",
"arxiv_id": "physics/0703185",
"authors": [
"J. H. Field"
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"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Translational invariance and the space-time Lorentz transformation with arbitrary spatial coordinates",
"url": "https://arxiv.org/abs/physics/0703185"
},
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