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arXiv 0811.0282gr-qc
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用实验对抗芬斯勒时空

Confronting Finsler space-time with experiment

Claus Laemmerzahl, Dennis Lorek, Hansjoerg Dittus

摘要:

在所有的量子引力方法中,我们都可以预料到对爱因斯坦等效原理的微小违反。这包括违反洛伦兹不变性。虽然通常违反洛伦兹不变性是通过耦合到额外的张量场,这里采用芬斯勒方法,违反洛伦兹不变性被纳入作为时空度量的一个组成部分。在这样一个芬斯勒框架内,一个修正的色散关系,这是面临目前的高精度实验。因此,从闵可夫斯基度量的芬斯勒型偏差被排除,精度为10^{-16}。

英文摘要:

Within all approaches to quantum gravity small violations of the Einstein Equivalence Principle are expected. This includes violations of Lorentz invariance. While usually violations of Lorentz invariance are introduced through the coupling to additional tensor fields, here a Finslerian approach is employed where violations of Lorentz invariance are incorporated as an integral part of the space-time metrics. Within such a Finslerian framework a modified dispersion relation is derived which is confronted with current high precision experiments. As a result, Finsler type deviations from the Minkowskian metric are excluded with an accuracy of 10^{-16}.

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