dorsal/arxiv
View SchemaThe relativistic kinematics underlying Poincare's ellipse
| Authors | Dr Yves Pierseaux |
|---|---|
| Categories | |
| ArXiv ID | physics/0601090 |
| URL | https://arxiv.org/abs/physics/0601090 |
| DOI | 10.1016/j.crhy.2007.06.002 |
| Journal | C.R. Physique (2007) 921-928 |
Abstract
We show that the kinematics underlying Poincare's elongated ellipse, immediately deduced from Lorentz Transformation (LT), is not the same as Einstein's kinematics. The two main differences are : On one hand the relationship of Lorentz contraction with LT, and on the other hand, the relationship of Doppler formula with wave four-vector. Einstein's wave four-vector (quantum theory of light, photon, transverse gauge) is not the same as Poincare's wave four-vector (classical theory of light, electromagnetic wave, Lorenz gauge) and therefore the Doppler formulas are not the same. Poincare's Doppler formula is not independent of the metric of space-time. We show that Poincare's metrics of space-time is based on a cosmological definition of distance and predicts an expansion of space for remote objects (Hubble), directly connected with Poincare's Doppler formula.
{
"annotation_id": "0951ce6c-129e-4a21-8ae8-6ef8febe84fc",
"date_created": "2026-03-02T18:01:04.281000Z",
"date_modified": "2026-03-02T18:01:04.281000Z",
"file_hash": "e0b90555708024c0624c3385c6d4718d3b52900c63ec3ef1550dcfc50acb3aba",
"private": false,
"record": {
"abstract": "We show that the kinematics underlying Poincare\u0027s elongated ellipse,\nimmediately deduced from Lorentz Transformation (LT), is not the same as\nEinstein\u0027s kinematics. The two main differences are : On one hand the\nrelationship of Lorentz contraction with LT, and on the other hand, the\nrelationship of Doppler formula with wave four-vector. Einstein\u0027s wave\nfour-vector (quantum theory of light, photon, transverse gauge) is not the same\nas Poincare\u0027s wave four-vector (classical theory of light, electromagnetic\nwave, Lorenz gauge) and therefore the Doppler formulas are not the same.\nPoincare\u0027s Doppler formula is not independent of the metric of space-time. We\nshow that Poincare\u0027s metrics of space-time is based on a cosmological\ndefinition of distance and predicts an expansion of space for remote objects\n(Hubble), directly connected with Poincare\u0027s Doppler formula.",
"arxiv_id": "physics/0601090",
"authors": [
"Dr Yves Pierseaux"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
],
"doi": "10.1016/j.crhy.2007.06.002",
"journal_ref": "C.R. Physique (2007) 921-928",
"title": "The relativistic kinematics underlying Poincare\u0027s ellipse",
"url": "https://arxiv.org/abs/physics/0601090"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "881b6e98-389c-4de2-8fd6-b989e3deb534",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}