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arXiv physics/0509261physics.gen-ph
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寻找横向多普勒频移的质能对应物:避免德布罗意悖论

Finding the mass-energy counterpart to the transverse Doppler shift: Avoiding de Broglie's paradox

Steven M Taylor

摘要:

本文确定了特定的角度的发射和接收的光,存在一个质量,能量对应的众所周知的横向多普勒频移。在这些角度下,固有频率和相对频率的关系与源的固有质量-能量和相对质量-能量的关系相同。有趣的是,横向多普勒频移经常被用来证明,对于特定的发射和接收角度,光的固有频率和相对频率的关系与固有时间和相对时间的关系是相同的。但通过仔细定义角度,这个明显的悖论得到了解决。

英文摘要:

This paper identifies specific angles of emission and reception of light for which there exists a mass-energy counterpart to the well known transverse Doppler shift. At these angles, the relationship of proper and relative frequency is the same as that for proper and relative mass-energy of a source. Paradoxically, the transverse Doppler shift is often used to demonstrate that for specific angles of emission and reception the relationship of proper and relative frequency of light is the same as that for proper and relative time. But by carefully defining angles, this apparent paradox is resolved.

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