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arXiv physics/0605069physics.class-phphysics.gen-ph
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庞加莱相对论性多普勒-斐索公式

Poincare's relativistic Doppler-Fizeau formula

Yves Pierseaux

摘要:

我们从庞加莱的椭球波阵面推导出一个相对论性的多普勒-斐索公式,这与1905年爱因斯坦的公式不同。在纵向上,爱因斯坦公式和庞加莱公式是相同的。实验测试的问题与直接测量相对论横向效应的可能性或不可能性有关。哈塞尔坎普1978年的实验成为一个至关重要的实验,因为庞加莱的相对论运动学预测了与多普勒-斐索效应直接相关的空间扩展。

英文摘要:

We deduce from Poincare's ellipsoidal wavefronts a relativistic Doppler-Fizeau formula that is not the same as 1905 Einstein's one. Longitudinally, Einstein's formula and Poincare's formula are the same. The question of an experimental test is connected with the possibility or the impossibility of directly measuring the relativistic transverse effect. Hasselkamp's 1978 experiment becomes a crucial experiment because Poincare's relativistic kinematics predicts an expansion of sapce directly connected with the Doppler-Fizeau effect for the remote objects.

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