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Induced spatial geometry from causal structure

delete2019-04-15
delete6
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OA
AI
A
Astrid Eichhorn *
S
Surya, Sumati
V
Versteegen, Fleur
DOI：10.1088/1361-6382/ab114bdelete
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摘要

摘要

En 中文
受Hawking-King-mccarthy-malament (HKMM) 定理及其因果结构 (M，(sic)) 和局部体积元素epsilon对时空几何的相关重建的启发，我们定义了一个单参数的空间距离函数族在柯西超曲面Sigma上仅使用 (M，(sic)) 和epsilon。该参数对应于 “中尺度” 截止值，该截止值在适当选择时会提供一个距离函数，该距离函数将诱导的空间距离函数近似为前导阶。这允许对因果集中柯西超曲面的离散类似物进行简单的概括。对于由连续时空近似的因果集，当中尺度远小于超曲面的外在曲率尺度但远大于离散尺度时，该距离函数接近连续诱导距离。我们通过对因果集进行广泛的数值模拟来验证这些期望，这些因果集由2和3时空维度上的简单时空区域近似。
Keyword:
causal structure
quantum gravity
causal sets
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期刊

Classical and Quantum Gravity 封面图
Classical and Quantum Gravity
IF:
3.7
论文数:
1.3W
被引数:
3.0W

机构

D
department of science & technology (india)
学者数:
1.6W
论文数: 1.6W
被引数: 9
R
Ruprecht Karls University Heidelberg
学者数:
5.6W
论文数: 4.3W
被引数: 66
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