dorsal/arxiv
View SchemaSpace Time Measurements in Special Relativity
| Authors | J. H. Field |
|---|---|
| Categories | |
| ArXiv ID | physics/9902048 |
| URL | https://arxiv.org/abs/physics/9902048 |
| Journal | Proceedings of the XX Workshop on High Energy Physics and Field Theory, Protvino, Russia, June 24-26 1997, P214 |
Abstract
The conventional discussion of apparent distortions of space and time in Special Relativity (the Lorentz-Fitzgerald Contraction and Time Dilatation) is extended by considering observations of : (i) moving objects of limited lifetime in their own rest frame (`transient luminous objects') and (ii) a moving extended array of synchronised `equivalent clocks' in a common inertial frame. Application of the Lorentz Transformation to (i) shows that such objects, viewed with coarse time resolution, appear to be longer in the direction of the relative velocity $\vec{v}$ by a factor $1/\sqrt{1-(v/c)^2}$ (Space Dilatation) and to (ii) that the moving equivalent clock that appears at any fixed position in the rest frame of an inertial observer appears to be running faster than a similar clock at rest by the factor $1/\sqrt{1-(v/c)^2}$ (Time Contraction). The actual appearance of moving objects and clocks, taking into account light propagation time delays, as well as the effect of the Lorentz Transformation, is also discussed.
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"abstract": "The conventional discussion of apparent distortions of space and time in\nSpecial Relativity (the Lorentz-Fitzgerald Contraction and Time Dilatation) is\nextended by considering observations of : (i) moving objects of limited\nlifetime in their own rest frame (`transient luminous objects\u0027) and (ii) a\nmoving extended array of synchronised `equivalent clocks\u0027 in a common inertial\nframe. Application of the Lorentz Transformation to (i) shows that such\nobjects, viewed with coarse time resolution, appear to be longer in the\ndirection of the relative velocity $\\vec{v}$ by a factor $1/\\sqrt{1-(v/c)^2}$\n(Space Dilatation) and to (ii) that the moving equivalent clock that appears at\nany fixed position in the rest frame of an inertial observer appears to be\nrunning faster than a similar clock at rest by the factor $1/\\sqrt{1-(v/c)^2}$\n(Time Contraction).\n The actual appearance of moving objects and clocks, taking into account light\npropagation time delays, as well as the effect of the Lorentz Transformation,\nis also discussed.",
"arxiv_id": "physics/9902048",
"authors": [
"J. H. Field"
],
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"journal_ref": "Proceedings of the XX Workshop on High Energy Physics and Field\n Theory, Protvino, Russia, June 24-26 1997, P214",
"title": "Space Time Measurements in Special Relativity",
"url": "https://arxiv.org/abs/physics/9902048"
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