惯性力与矢势的关系
The Connection Between Inertial Forces and the Vector Potential
摘要：
.本文用一种与广义带电粒子自身矢势有关的感应定律来讨论物质的惯性性质。我们的方法是基于拉格朗日形式主义的规范动量写作牛顿第二定律的矢量潜力和发展方面获得推迟的潜力，允许其主要条款的直观的物理解释。这个框架提供了一个清晰的物理洞察力的物理惯性。结果表明，电子质量有一个完全的电磁源，所得到的协变方程解决了“4/3质量佯谬”。这提供了对运动方程的主要项的意义的更深入的了解。特别是一个力项是从基于动量的连续性方程的方法中获得的，该动量表示带电粒子在相对于其自身的矢量势场线运动时感觉到的拖曳力。因此，粒子的矢势的时间导数导致加速惯性反作用力，并且等效于负责辐射场的源的Schott项。我们还表明，粒子的矢量势的速度依赖项与质量随速度的相对论性增加，并产生应力，这是电场线变形的来源。这种理解拓宽了操纵惯性质量的可能性，并可能为电磁推进的可能应用和先进空间推进物理学的发展提出一些机制。
英文摘要：
. The inertia property of matter is discussed in terms of a type of induction law related to the extended charged particle's own vector potential. Our approach is based on the Lagrangian formalism of canonical momentum writing Newton's second law in terms of the vector potential and a development in terms of obtaining retarded potentials, that allow an intuitive physical interpretation of its main terms. This framework provides a clear physical insight on the physics of inertia. It is shown that the electron mass has a complete electromagnetic origin and the covariant equation obtained solves the "4/3 mass paradox". This provides a deeper insight into the significance of the main terms of the equation of motion. In particular a force term is obtained from the approach based on the continuity equation for momentum that represents a drag force the charged particle feels when in motion relatively to its own vector potential field lines. Thus, the time derivative of the particle's vector potential leads to the acceleration inertia reaction force and is equivalent to the Schott term responsible for the source of the radiation field. We also show that the velocity dependent term of the particle's vector potential is connected with the relativistic increase of mass with velocity and generates a stress force that is the source of electric field lines deformation. This understanding broadens the possibility to manipulate inertial mass and potentially suggests some mechanisms for possible applications to electromagnetic propulsion and the development of advanced space propulsion physics.
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