VSR与托马斯进动不兼容
VSR is incompatible with Thomas precession
摘要:
柯恩和柯恩做了一个有趣的观察,洛伦兹群的某些真子群,如HOM(2)或SIM(2),可以解释狭义相对论的许多结果,如时间膨胀、相对论速度相加和最大各向同性光速。我们在这里表明,这样的SIM(2)和HOM(2)为基础的VSR理论预测的托马斯进动的一个不正确的值,因此被排除的观察。在VSR理论中,原子中的自旋-轨道耦合被证明太大了2倍。由VSR导出的BMT方程预测了储存环中电子和μ子的进动,其进动因子太大,为$10^3$。因此,VSR理论被观测所排除。
英文摘要:
Glashow and Cohen make the interesting observation that certain proper subgroups of the Lorentz group like HOM(2) or SIM(2) can explain many results of special relativity like time dilation, relativistic velocity addition and a maximal isotropic speed of light. We show here that such SIM(2) and HOM(2) based VSR theories predict an incorrect value for the Thomas precession and are therefore ruled out by observations. In VSR theories the spin-orbital coupling in atoms turn out to be too large by a factor of 2. The Thomas-BMT equation derived from VSR predicts a precession of electrons and muons in storage rings which is too large by a factor of $10^3$. VSR theories are therefore ruled out by observations.
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