论文标题
循环量子重力中的自偶联时空的观察测试
Observational tests of the self-dual spacetime in loop quantum gravity
论文作者
论文摘要
自偶联时空是根据环路量子重力（LQG）中的聚合量化程序得出的。它偏离Schwarzschild时空的偏差为特征是聚合物函数$ p $，这纯粹是由于LQG的几何量子效应。在本文中，我们考虑使用太阳系实验和观察值对$ P $施加的观察性约束。为此，我们详细介绍了$ p $对太阳系中进行天文观测的影响，包括太阳的光偏转角，重力时间延迟，围栏前进和大地测量动力。观察性约束是通过与最新观察的理论预测来得出的。在这些约束中，我们发现最紧张的是来自卡西尼任务对重力时间延迟的测量，后者产生$ 0 <p <p <5.5 \ times 10^{ - 6} $。此外，我们还讨论了在不久的将来由欧洲 - 日本联合Bepicolombo项目在不久的将来获得的潜在约束，并表明它可以显着改善当前的限制。
The self-dual spacetime was derived from the mini-superspace approach, based on the polymerization quantization procedure in loop quantum gravity (LQG). Its deviation from the Schwarzschild spacetime is characterized by the polymeric function $P$, purely due to the geometric quantum effects from LQG. In this paper, we consider the observational constraints imposed on $P$ by using the solar system experiments and observations. For this purpose, we calculate in detail the effects of $P$ on astronomical observations conducted in the Solar system, including the deflection angle of light by the Sun, gravitational time delay, perihelion advance, and geodetic precession. The observational constraints are derived by confronting the theoretical predictions with the most recent observations. Among these constraints, we find that the tightest one comes from the measurement of the gravitational time delay by the Cassini mission, which yields $0<P<5.5\times 10^{-6}$. In addition, we also discuss the potential constraint that can be obtained in the near future by the joint European-Japanese BepiColombo project and show that it could significantly improve the current constraints.
