dorsal/arxiv
View SchemaReference spaces in Special Relativity Theory: an intrinsic approach
| Authors | Nilo C. Bobillo-Ares, Carlos Dehesa-Martinez |
|---|---|
| Categories | |
| ArXiv ID | physics/0207065 |
| URL | https://arxiv.org/abs/physics/0207065 |
Abstract
Starting from a suggestion of Einstein on the construction of the concept of space, we elaborate an intrinsic method to obtain space and time transformations between two inertial spaces of reference, mathematically modeled as affine euclidean spaces. The principal device introduced for relating the space readings in both spaces is the so-called tracer mapping, which makes a snapshot of a space onto the other. The general form of the space and time transformations is obtained as an affine--preserving mapping compatible with the principle of relativity, a cylindrical symmetry around the relative velocities between spaces and the group character of the transformations. After having obtained Galileo and Lorentz transformations, the same method has been applied to two classical problems: the Coriolis theorem of Newtonian Mechanics and the geometry of a rotating disk in Special Relativity. Even in the case of Newtonian Mechanics, the possibility of distinguishing the spaces of reference is found useful.
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"abstract": "Starting from a suggestion of Einstein on the construction of the concept of\nspace, we elaborate an intrinsic method to obtain space and time\ntransformations between two inertial spaces of reference, mathematically\nmodeled as affine euclidean spaces. The principal device introduced for\nrelating the space readings in both spaces is the so-called tracer mapping,\nwhich makes a snapshot of a space onto the other. The general form of the space\nand time transformations is obtained as an affine--preserving mapping\ncompatible with the principle of relativity, a cylindrical symmetry around the\nrelative velocities between spaces and the group character of the\ntransformations. After having obtained Galileo and Lorentz transformations, the\nsame method has been applied to two classical problems: the Coriolis theorem of\nNewtonian Mechanics and the geometry of a rotating disk in Special Relativity.\nEven in the case of Newtonian Mechanics, the possibility of distinguishing the\nspaces of reference is found useful.",
"arxiv_id": "physics/0207065",
"authors": [
"Nilo C. Bobillo-Ares",
"Carlos Dehesa-Martinez"
],
"categories": [
"physics.gen-ph"
],
"title": "Reference spaces in Special Relativity Theory: an intrinsic approach",
"url": "https://arxiv.org/abs/physics/0207065"
},
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