par Pierseaux, Yves 
Référence Annales de la fondation Louis de Broglie, 30, 3-4, page (353-379)
Publication Publié, 2005
Référence Annales de la fondation Louis de Broglie, 30, 3-4, page (353-379)
Publication Publié, 2005
Article révisé par les pairs
| Résumé : | We show that the image by the Lorentz Transformation of a spherical light wavefront, emitted by a moving source, is not a spherical light wavefront but an ellipsoidal light wavefront. Poincaré's elongated ellipse is the direct geometrical representation of Poincaré's relativity of simultaneity. Einstein's circles are the direct geometrical representation of Einstein's convention of synchronisation. Poincaré's ellipse supposes another convention for the definition of space-time units involving that the Lorentz Transformation (LT) of an unit of length is directly proportional to the LT of an unit of time: This is Poincaré's definition of isotropic elongated distance (with dilated travel time). The historical (polemical) problem of priorities is therefore scientifically solved because Einstein's explicit kinematics and Poincaré's implicit kinematics are not the same. It is generally admitted that the observed expansion of space (Hubble) can only be considered in the framework of General Relativity (Robertson-Walker's metric) and not in the framework on Special Relativity (Minkowski's metric). We show that Poincaré's relativistic kinematics, with the invariance of the quadratic form by LT, predicts both a dilation of time and an isotropic expansion of space as well. |
