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arXiv 2202.01900gr-qc
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原子干涉仪与广义相对论的小尺度检验

Atom interferometers and a small-scale test of general relativity

Mikołaj Myszkowski

摘要:

自1916年广义相对论首次出现以来,人们进行了各种实验来检验这一理论。由于所涉及的相互作用很弱,所有记录在案的测试都是在天文尺度的物体产生的引力场中进行的。我们提出了一个实验的想法,可以在实验室产生的引力场中检测纯粹的广义相对论效应。它示出了一组密集的快速旋转的圆柱体产生的帧拖动效果足够大,是两个数量级远离下一代原子干涉仪的可观察范围。计算了弱场极限下匀速旋转轴对称体的度规张量,导出了干涉仪的相移公式。本文旨在论证这一概念的可行性,并促进对广义相对论小尺度实验领域的进一步研究。这绝不是一个完全成熟的实验方案。

英文摘要:

Since the first appearance of general relativity in 1916, various experiments have been conducted to test the theory. Due to the weakness of the interactions involved, all of the documented tests were carried out in a gravitational field generated by objects of an astronomical scale. We propose an idea for an experiment that could detect purely general-relativistic effects in a lab-generated gravitational field. It is shown that a set of dense rapidly-revolving cylinders produce a frame-dragging effect substantial enough to be two orders of magnitude away from the observable range of the next generation of atomic interferometers. The metric tensor due to a uniform rotating axisymmetric body in the weak-field limit is calculated and the phase shift formula for the interferometer is derived. This article is meant to demonstrate feasibility of the concept and stimulate further research into the field of low-scale experiments in general relativity. It is by no means a fully developed experiment proposal.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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