dorsal/arxiv
View SchemaEinstein was Wrong: Newtonian Dynamics Can Disagree Completely with Relativistic Dynamics at Low Speed
| Authors | Boon Leong Lan |
|---|---|
| Categories | |
| ArXiv ID | physics/0306190 |
| URL | https://arxiv.org/abs/physics/0306190 |
| DOI | 10.1063/1.2218379 |
| Journal | Chaos 16 (2006) 033107 |
Abstract
According to Einstein, the trajectory of a particle that is predicted by special relativistic mechanics is well approximated by the trajectory predicted by Newtonian mechanics if the particle speed is low, i.e., much less than the speed of light. However, in this paper, it is shown with a counterexample Hamiltonian dynamical system that Newtonian dynamics can eventually disagree completely with relativistic dynamics even though the particle speed is low. After the breakdown of the agreement, either the Newtonian description is no longer correct or the relativistic description is no longer correct or both descriptions are no longer correct for the low speed motion.
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"abstract": "According to Einstein, the trajectory of a particle that is predicted by\nspecial relativistic mechanics is well approximated by the trajectory predicted\nby Newtonian mechanics if the particle speed is low, i.e., much less than the\nspeed of light. However, in this paper, it is shown with a counterexample\nHamiltonian dynamical system that Newtonian dynamics can eventually disagree\ncompletely with relativistic dynamics even though the particle speed is low.\nAfter the breakdown of the agreement, either the Newtonian description is no\nlonger correct or the relativistic description is no longer correct or both\ndescriptions are no longer correct for the low speed motion.",
"arxiv_id": "physics/0306190",
"authors": [
"Boon Leong Lan"
],
"categories": [
"physics.class-ph",
"gr-qc",
"nlin.CD"
],
"doi": "10.1063/1.2218379",
"journal_ref": "Chaos 16 (2006) 033107",
"title": "Einstein was Wrong: Newtonian Dynamics Can Disagree Completely with Relativistic Dynamics at Low Speed",
"url": "https://arxiv.org/abs/physics/0306190"
},
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