广义洛伦兹力
The extended Lorentz force
摘要：
洛伦兹力方程提供了带电粒子在四维流形上测地线运动的部分描述。在麦克斯韦方程组表示的Ricci张量的对称性的假设下，确定了完整的电磁连接。从这一联系出发，导出了测地线的第四个方程。第四个方程的有效性可以通过研究带电粒子在电场中的衰变来确定。相对于带电粒子在电场中运动的固有时间，时间会加速或减速。在平行于电场的相反方向上运动的不稳定带电粒子应该表现出不同的衰变率。
英文摘要：
The Lorentz force equations provide a partial description of the geodesic motion of a charged particle on a four-manifold. Under the hypothesis that Maxwell's equations express symmetry properties of the Ricci tensor, the full electromagnetic connection is determined. From this connection, the fourth equation of the geodesic is derived. The validity of this fourth equation can be determined by studying the decay of charged particles in an electric field. Time will accelerate or decelerate relative to the proper time of a charged particle moving in an electric field. Unstable charged particles moving in opposite directions parallel to an electric field should exhibit different decay rates.
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