Einstein Goofed: Difference between revisions
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| keywords = [[Einstein]], [[Newtonian mechanics]], [[Hamiltonian dynamic systems]], [[special relativity]] | | keywords = [[Einstein]], [[Newtonian mechanics]], [[Hamiltonian dynamic systems]], [[special relativity]] | ||
| published = 2005 | | published = 2005 | ||
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==Abstract== | ==Abstract== | ||
According to Einstein, if the speed of a particle remains low, i.e., much less than the speed of light, then the dynamical prediction of special relativistic mechanics remains very well approximated by the prediction of Newtonian mechanics for the same parameter(s) and initial conditions. However, in this paper, it is shown with two counterexample Hamiltonian dynamical systems that, contrary to Einstein | According to Einstein, if the speed of a particle remains low, i.e., much less than the speed of light, then the dynamical prediction of special relativistic mechanics remains very well approximated by the prediction of Newtonian mechanics for the same parameter(s) and initial conditions. However, in this paper, it is shown with two counterexample Hamiltonian dynamical systems that, contrary to Einstein's claim, Newtonian dynamics can eventually disagree completely with relativistic dynamics even though the particle speed is low. This result points to a new possibility of testing special relativity in the domain of low speed. | ||
[[Category:Scientific Paper|einstein goofed]] | [[Category:Scientific Paper|einstein goofed]] | ||
[[Category:Relativity|einstein goofed]] | [[Category:Relativity|einstein goofed]] | ||
Latest revision as of 09:00, 22 July 2026
| Scientific Paper | |
|---|---|
| Title | Einstein Goofed |
| Author(s) | Boon Leong Lan |
| Keywords | Einstein, Newtonian mechanics, Hamiltonian dynamic systems, special relativity |
| Published | 2005 |
Abstract
According to Einstein, if the speed of a particle remains low, i.e., much less than the speed of light, then the dynamical prediction of special relativistic mechanics remains very well approximated by the prediction of Newtonian mechanics for the same parameter(s) and initial conditions. However, in this paper, it is shown with two counterexample Hamiltonian dynamical systems that, contrary to Einstein's claim, Newtonian dynamics can eventually disagree completely with relativistic dynamics even though the particle speed is low. This result points to a new possibility of testing special relativity in the domain of low speed.