为什么在均匀加速的情况下没有辐射发生
Why no radiation occurs in the case of a uniformly accelerated charge
摘要:
我们表明,在均匀加速的情况下,在其瞬时静止帧,只有一个径向电场的加速度场奇怪地得到取消在所有距离的横向项的速度场。因此,任何观察者都不会从均匀加速的电荷中检测到电磁辐射,即使在遥远的区域也是如此。这与拉莫尔公式相矛盾,根据拉莫尔公式,均匀加速的电荷将以恒定的速率辐射功率,该速率与加速度的平方成比例。另一方面,这样的电荷不辐射符合强等效原理,在强等效原理中,均匀加速的电荷等效于在引力场中永久静止的电荷,这样一个完全时间静止的系统根本不可能辐射能量。
英文摘要:
We show that in the case of a uniformly accelerated charge, in its instantaneous rest frame, there is only a radial electric field as the acceleration fields strangely get cancelled at all distances by a transverse term of the velocity fields. Consequently, no electromagnetic radiation will be detected by any observer from a uniformly accelerated charge, even in the far-off zone. This is in contradiction with Larmor's formula, according to which a uniformly accelerated charge would radiate power at a constant rate, which is proportional to the square of the acceleration. On the other hand, the absence of radiation from such a charge is in concurrence with the strong principle of equivalence, where a uniformly accelerated charge is equivalent to a charge permanently stationary in a gravitational field, and such a completely time-static system could not be radiating power at all.
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