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Physics > Classical Physics

arXiv:physics/0306190 (physics)
[Submitted on 27 Jun 2003 (v1), last revised 24 Oct 2003 (this version, v2)]

Title:Einstein was Wrong: Newtonian Dynamics Can Disagree Completely with Relativistic Dynamics at Low Speed

Authors:Boon Leong Lan
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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.
Comments: minor changes
Subjects: Classical Physics (physics.class-ph); General Relativity and Quantum Cosmology (gr-qc); Chaotic Dynamics (nlin.CD)
Cite as: arXiv:physics/0306190 [physics.class-ph]
  (or arXiv:physics/0306190v2 [physics.class-ph] for this version)
  https://doi.org/10.48550/arXiv.physics/0306190
Journal reference: Chaos 16 (2006) 033107
Related DOI: https://doi.org/10.1063/1.2218379

Submission history

From: Boon Leong Lan [view email]
[v1] Fri, 27 Jun 2003 06:17:37 UTC (196 KB)
[v2] Fri, 24 Oct 2003 03:50:46 UTC (231 KB)
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