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arXiv 1111.2107gr-qc
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从圈量子引力引出广义相对论:一个综述

Emergence of General Relativity from Loop Quantum Gravity: A Summary

Chun-Yen Lin

摘要:

提出了一个模型,证明了经典广义相对论可以从圈量子引力中产生,在引力场的关系描述中,由物质给出的坐标。定义了局域狄拉克观测量和相干态,探讨了模型的物理内涵。相干态观测量之间的交换子的期望值恢复了四维空间的同态代数和引力场相对于物质坐标的大尺度动力学。这两个结果都符合广义相对论,直到奇点附近的可计算修正。

英文摘要:

A model is proposed to demonstrate that classical general relativity can emerge from loop quantum gravity, in a relational description of gravitational field in terms of the coordinates given by matter. Local Dirac observables and coherent states are defined to explore physical content of the model. Expectation values of commutators between the observables for the coherent states recover the four-dimensional diffeomorphism algebra and the large-scale dynamics of the gravitational field relative to the matter coordinates. Both results conform with general relativity up to calculable corrections near singularities.

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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