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arXiv 1111.7127gr-qc
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量子天体测量观测量I:经典和量子引力中的时间延迟

Quantum astrometric observables I: time delay in classical and quantum gravity

Igor Khavkine

摘要:

本文介绍了一类非同态不变量的物理观测量,即天体测量观测量。以两个初始同步的固有时钟在相对惯性运动中的时间差为例,详细分析了时间延迟。它被发现满足一些有趣的不等式有关的因果结构的经典洛伦兹时空。因此,它可以作为因果结构,特别是违反因果关系的探针。这种可观察的量子模型,以及由于量子线性化引力的真空涨落的方差的计算勾勒。量子引力是否仍然满足因果不等式的问题,这是相关的因果性在量子引力的性质,提出,但它表明,微扰计算不能提供一个明确的答案。讨论了天体测量观测量在量子引力中的一些潜在应用。

英文摘要:

A class of diffeomorphism invariant, physical observables, so-called astrometric observables, is introduced. A particularly simple example, the time delay, which expresses the difference between two initially synchronized proper time clocks in relative inertial motion, is analyzed in detail. It is found to satisfy some interesting inequalities related to the causal structure of classical Lorentzian spacetimes. Thus it can serve as a probe of causal structure and in particular of violations of causality. A quantum model of this observable as well as the calculation of its variance due to vacuum fluctuations in quantum linearized gravity are sketched. The question of whether the causal inequalities are still satisfied by quantized gravity, which is pertinent to the nature of causality in quantum gravity, is raised, but it is shown that perturbative calculations cannot provide a definite answer. Some potential applications of astrometric observables in quantum gravity are discussed.

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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