Special Relativity: Einstein's Spherical Waves versus Poincare's Ellipsoidal Waves
Abstract
We show that the image by the Lorentz transformation of a spherical (circular) light wave, emitted by a moving source, is not a spherical (circular) light wave but an ellipsoidal (elliptical) light wave. Poincare's ellipsoid (ellipse) is the direct geometrical representation of Poincare's relativity of simultaneity. Einstein's spheres (circles) are the direct geometrical representation of Einstein's convention of synchronisation. Poincare adopts another convention for the definition of space-time units involving that the Lorentz transformation of an unit of length is directly proportional to Lorentz transformation of an unit of time. Poincare's relativistic kinematics predicts both a dilation of time and an expansion of space as well.
Cite
@article{arxiv.physics/0411045,
title = {Special Relativity: Einstein's Spherical Waves versus Poincare's Ellipsoidal Waves},
author = {Dr. Yves Pierseaux},
journal= {arXiv preprint arXiv:physics/0411045},
year = {2011}
}
Comments
17 pages, 2 figures, talk given at PIRT 2004 Conference, Imperial College, London, 5 September 04