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arXiv 2106.05941physics.gen-ph
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相对论性像差:光场的变换

Relativistic Aberration: The Transformation of a Propagating Field

Aran O'Hare

摘要:

用来描述质量和电荷影响的场一般被认为是以光速从它们的源传播的。为了得到与狭义相对论一致的运动电荷的这些场,应该对电荷静止坐标系中的传播场进行变换,以获得电荷初始惯性坐标系中的传播场。这些变换是场的坐标变换,也是场传播的速度矢量变换,从而导致场的方向和强度的变化。然而,电场传播速度被忽略并且当前未被变换。当涉及到将场从源的静止帧变换到源的启动帧时,这种省略具有后果,因为该启动帧的场将与计算出的延迟场的方向以及因此其在该启动帧中的强度不一致。这里将导出运动点电荷的延迟场,并由此说明速度变换的要求和象差效应。因此,将给出完全一致的惯性系变换。这项工作显示了一般的理论基础和合法性的畸变效应,并作为他们的实施在所有传播领域的论据。

英文摘要:

The fields used to describe the influence of masses and electric charges are generally accepted to propagate at the speed of light from their sources. To obtain these fields for a moving charge which are consistent with special relativity, transformations should be applied to the propagating field in the charge's rest frame to acquire the propagating field in the charge's primed inertial frame. These transformations are of its coordinates, and also the velocity vectors of the field's propagation, which consequently lead to a change in the field's direction and as a result its strength. Yet, the electric field propagation velocities are neglected and not currently transformed. This omission has consequences when it comes to transforming the field from the source's rest frame to the source's primed frame, as this primed frame's field would then be inconsistent with the calculated retarded field's directions and consequently its strengths in this primed frame. Here the retarded field of a moving point charge will be derived and from this the requirement of the velocity transforms and the aberrational effects will be shown. Hence, the full consistent inertial frame transform will be given. This work shows the general theoretical basis and legitimacy of the aberrational effects and acts as an argument for their implementation on all propagating fields.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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