dorsal/arxiv
View SchemaEinstein's theory of wavefronts versus Einstein's relativity of simultaneity
| Authors | Dr Yves Pierseaux |
|---|---|
| Categories | |
| ArXiv ID | physics/0606233 |
| URL | https://arxiv.org/abs/physics/0606233 |
Abstract
The relativity of simultaneity implies that the image of a Lorentz transformed (LT) spherical (circular) wavefront is not a spherical (circular) wavefront (Einstein 1905) but an ellipsoidal (elliptical) wavefront (Moreau, Am.J.of Phys).We show firstly that the relativity of simultaneity leads to the consequence that the image of a Lorentz transformed plane wavefront is a tangent plane to an ellipsoid and not a tangent plane to a sphere (Einstein 1905). We deduce then a longitudinal component of the tangent vector to Poincare's ellipse which is directly connected to the relativity of simultaneity. We suggest finally that this violation of relativity of simultaneity is related to Einstein's implicit choice of the (non relativistic) transverse gauge in his theory of (rigid) wavefronts.
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"abstract": "The relativity of simultaneity implies that the image of a Lorentz\ntransformed (LT) spherical (circular) wavefront is not a spherical (circular)\nwavefront (Einstein 1905) but an ellipsoidal (elliptical) wavefront (Moreau,\nAm.J.of Phys).We show firstly that the relativity of simultaneity leads to the\nconsequence that the image of a Lorentz transformed plane wavefront is a\ntangent plane to an ellipsoid and not a tangent plane to a sphere (Einstein\n1905). We deduce then a longitudinal component of the tangent vector to\nPoincare\u0027s ellipse which is directly connected to the relativity of\nsimultaneity. We suggest finally that this violation of relativity of\nsimultaneity is related to Einstein\u0027s implicit choice of the (non relativistic)\ntransverse gauge in his theory of (rigid) wavefronts.",
"arxiv_id": "physics/0606233",
"authors": [
"Dr Yves Pierseaux"
],
"categories": [
"physics.gen-ph"
],
"title": "Einstein\u0027s theory of wavefronts versus Einstein\u0027s relativity of simultaneity",
"url": "https://arxiv.org/abs/physics/0606233"
},
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