在所有惯性系中任何信号速度的恒定性
Constancy of any signal velocity in all inertial frames
摘要:
如果空间的各向同性和时空的均匀性是有效的自然定律,那么我们就可以证明,任何信号(无论是真空中的光,还是介质中的光,还是在观察者静止坐标系中具有恒定速度的东西,通过它,我们可以对与特定实验有关的所有物理量进行全部(而不是部分)测量)的速度在所有惯性坐标系中都是恒定的。为了验证除了真空中的光(这是众所周知的)之外的其他信号的这种恒定性,我们特别提出了一个实验,其中所有的测量都可以使用水中的光作为信号来完成。如果我们在介质中进行实验,那么连接两个惯性系中事件测量的信号不可能是真空中的光,而是介质中的光。在用于测量的信号不是真空中的光的情况下,需要修改狭义相对论(其中真空中的光被用作信号)中的各种物理量的相对论关系。这一工作可以从与通过大气到达地球的宇宙μ子的数量有关的分析或与大气中微子振荡量有关的分析中得到验证,因为在这两种情况下,我们测量的信号在真空中不可能是光,但在空气中是光。
英文摘要:
If isotropy of space and homogeneity of space and time are the valid laws of nature then one can show that velocity of any signal (whether it is light in a vacuum or in a medium or something having constant velocity in the rest frame of the observer and by using which we can perform all (but not partial) measurements of all physical quantities related with the particular experiment) is constant in all inertial frames. To verify this constancy for other signals apart from light in vacuum (which is well-known) we have proposed particularly one experiment in which all measurements can be done using light in water as signal. If we perform experiment in a medium then the signal connecting the measurements of an event in two inertial frames can not be light in vacuum rather it is light in the medium. In such cases where signal used for measurement is not light in vacuum, relativistic relationships of various physical quantities in Special Theory of Relativity (in which light in vacuum has been used as signal) require modifications. This work might be verified from the analysis related with the number of cosmic muons reaching earth through atmosphere or that related with the amount of oscillation of atmospheric neutrinos as in both these cases signal for our measurement can not be light in vacuum but it is light in air.
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