爱因斯坦错了:牛顿动力学在低速时与相对论动力学完全不一致
Einstein was Wrong: Newtonian Dynamics Can Disagree Completely with Relativistic Dynamics at Low Speed
摘要:
根据爱因斯坦的观点,如果粒子的速度很低,则由狭义相对论力学预测的粒子的轨迹可以很好地近似于由牛顿力学预测的轨迹,即,远低于光速然而,在本文中,它是用一个反例哈密顿动力系统,牛顿动力学最终可以完全不同意相对论动力学,即使粒子的速度是低的。在协议破裂后,要么牛顿描述不再正确,要么相对论描述不再正确,或者这两种描述对于低速运动都不再正确。
英文摘要:
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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