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arXiv 1201.3205physics.gen-ph
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运动信号及其测量频率

Moving Signals and Their Measured Frequencies

Chandru Iyer, G. M. Prabhu

摘要:

光传播的经典多普勒效应可以通过以下两个假设中的任何一个来计算:a)光相对于光源以速度c传播,或b)光相对于受体以速度c传播。我们证明了两个经典多普勒效应的计算值之比,在源惯性系和接收器惯性系中的传播速度分别为c,在所有方向(纵向、横向和任意角度)上保持恒定,等于[1-(v^2/c^2)]:1。此外,我们表明,多普勒效应预测的狭义相对论,是在每一个方向,两个预期的经典多普勒效应的几何平均值。这导致了两个相互矛盾的结论:(1)受体认为与发射体相关的时钟运行缓慢,(2)发射体认为与受体相关的时钟运行缓慢。这些差异可以解决,如果我们从理论上讲,光在离开发射器时以相对于发射器的速度c传播,在接近受体时以相对于受体的速度c传播。光相对于邻近的物体以速度c传播的假设将解决与倒数时间膨胀有关的所有悖论。

英文摘要:

Classical Doppler Effect of light propagation can be calculated by making any one of the two assumptions a) Light propagates at the speed c with respect to the source or b) Light propagates at the speed c with respect to the receptor. We show that the ratio of the two calculated classical Doppler Effects, with propagation speed c in the source inertial frame and receptor inertial frame respectively, remains constant equaling [1-(v^2/c^2)] : 1 , in all orientations (longitudinal, transverse and any arbitrary angle). Furthermore, we show that the Doppler Effect as predicted by special relativity, is in each and every orientation, the geometric mean of the two expected classical Doppler Effects. This leads to two contradicting conclusions: (1) by the receptor that the clock associated with the emitter runs slow, and (2) by the emitter that the clock associated with the receptor runs slow. These differences can be resolved if we theorize that light travels at speed c with respect to the emitter as it leaves the emitter and travels at speed c with respect to the receptor as it approaches the receptor. The postulation that light travels at speed c with respect to material objects in the vicinity of those material objects will resolve all paradoxes related to reciprocal time dilation.

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