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Another Interesting Post For Bruce

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Posted by Richard Ruquist on June 30, 2003 17:42:55 UTC

Einstein was Wrong: Newtonian Dynamics Can Disagree Completely with Relativistic Dynamics at Low Speed
Authors: B L Lan
Subj-class: Classical Physics

According to century-old conventional wisdom, 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 After the breakdown of the agreement, the Newtonian description is no longer valid for the low-speed motion, only the relativistic description is valid.

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