论文标题
部分可观测时空混沌系统的无模型预测
Proof the non-existence of causal classical electrodynamics of point charged particles
论文作者
论文摘要
到目前为止，尚不清楚与电磁场相互作用的点电荷颗粒（例如电子）的一致因果理论。众所周知的问题是，单独的标准洛伦兹力（在点粒子的情况下）不会导致势头和能量保守的理论。因此，出现了辐射反作用力（或自力）的需求。众所周知的这种力的候选者，洛伦兹 - 阿布拉汉 - 迪拉克反作用力，给出了非神经粒子行为，即粒子在外部电磁场到来之前开始移动。替代性，因果提案提供了粒子的非物理行为 - 粒子在任何外力作用在其上很久以非零加速度移动。下面，我们质疑因果理论的存在。我们表明，对于某些辐射的电磁脉冲和点粒子最初处于静止状态，{\不存在}因果粒子轨迹，使得粒子最终以恒定的速度移动（当没有外部电磁场在很长一段时间内作用于它的外部电磁场时）。这表明不存在正确的点颗粒因果动力学。
Up until now, a consistent causal theory of point charged particles (for example electrons) interacting with electromagnetic field is not known. The well-known problem is that the standard Lorentz force alone (in the case of point particles) does not lead to a theory in which momentum and energy are conserved. The need of radiation reaction force (or self-force) thus arises. The well known candidate for such force, the Lorentz-Abraham-Dirac reaction force, gives non-causal particle behavior, i.e., the particle starts to move before the arrival of external electromagnetic fields. Alternative, causal proposals provide non-physical behavior of the particle -- the particle moves with non-zero acceleration long after any external forces acted on it. Below, we question the existence of a causal theory. We show that for certain electromagnetic pulse of radiation and point particle being initially at rest, there {\it does not exists} a causal particle trajectory, such that the particle ends up moving with constant velocity (when no external electromagnetic fields act on it for very long time). This shows that the proper, causal electrodynamics of point particles does not exist.
