时间对称超距作用电动力学与SpaceTime的结构
Time symmetric action-at-a-distance electrodynamics and the structure of SpaceTime
摘要:
本文首先对“物质点粒子”概念进行了批判性分析。我们认为这个概念与超距作用电动力学的力定律是不相容的,我们建议粒子的轨迹(世界线)应被看作是处于静力平衡的弦。通过补充我们的模型与时间对称的相互作用定律,我们导致一个简单的推导的基本原则之间的电磁相互作用两个均匀移动的带电粒子。将我们的理论推广到任意运动的粒子的情况表明,我们必须修改微观电磁场的麦克斯韦方程组,以适应不再反对称的场强张量。它进一步认为,辐射反作用力给出了另一个例子的4力,这是不正交的4速度,从而导致一个可变的静止质量。然后从广义相对论的等效原理的角度讨论了静止质量的变化,最后给出了齐次麦克斯韦方程组的理论推导。
英文摘要:
This paper begins with a critical analysis of the concept of 'material point particle'. We argue that this concept is incompatible with the force laws of action-at-a-distance electrodynamics, and we suggest that the trajectory of a particle (the world-line) should be looked upon as a string in static equilibrium. By complementing our model with a time symmetric interaction law, we are led to a straightforward derivation of the principles underlying the electromagnetic interaction between two uniformly moving charged particles. An extension of our theory to the case of particles in arbitrary motion shows that we have to modify Maxwell's equations of the microscopic electromagnetic field, in order to accommodate a field-strength tensor which is no longer antisymmetric. It is further argued that the radiation reaction force gives another example of a 4-force which is not orthogonal to the 4-velocity, thus leading to a variable rest mass. The variation of the rest mass is then discussed from the point of view of the equivalence principle of general relativity, and we end up with a theoretical derivation of the homogenous Maxwell's equations.
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