dorsal/arxiv
View SchemaA simple derivation of the Lorentz transformation and of the related velocity and acceleration formulae
| Authors | Jean-Michel Levy |
|---|---|
| Categories | |
| ArXiv ID | physics/0702191 |
| URL | https://arxiv.org/abs/physics/0702191 |
| DOI | 10.1119/1.2719700 |
| Journal | American Journal of Physics 75, 7 (2007) 615-618 |
Abstract
The Lorentz transformation is entirely derived from length contraction, itself established through the known light-clock thought experiment . This makes the derivation accessible to beginning students once Eintein's two postulates have been admitted. The formula derived for the space part of the general rotation-free Lorentz transformation is very compact and allows for an easy derivation of the velocity and acceleration transformations. A possibly new and very simple relation is found between proper acceleration and acceleration in an inertial frame.
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"abstract": "The Lorentz transformation is entirely derived from length contraction,\nitself established through the known light-clock thought experiment . This\nmakes the derivation accessible to beginning students once Eintein\u0027s two\npostulates have been admitted. The formula derived for the space part of the\ngeneral rotation-free Lorentz transformation is very compact and allows for an\neasy derivation of the velocity and acceleration transformations. A possibly\nnew and very simple relation is found between proper acceleration and\nacceleration in an inertial frame.",
"arxiv_id": "physics/0702191",
"authors": [
"Jean-Michel Levy"
],
"categories": [
"physics.gen-ph"
],
"doi": "10.1119/1.2719700",
"journal_ref": "American Journal of Physics 75, 7 (2007) 615-618",
"title": "A simple derivation of the Lorentz transformation and of the related velocity and acceleration formulae",
"url": "https://arxiv.org/abs/physics/0702191"
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