非局域量子时空的极限

IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
Dawood Kothawala
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引用次数: 0

摘要

在量子测量的分析中加入引力效应的一个普遍含义是时空零点长度的存在。这需要对时空进行固有的非局部描述,而不是基于度量$g_{ab}(x)$等的通常描述。量子时空应该由形式为$\mathscr的非局部双张量重建{G}_{ab\ldots i'j'\ldots}(x,x')$。然后,更深入的观察揭示了非局部性和$G\hbar/c^3\到0$的极限之间微妙的相互作用。特别是,所谓的突现引力范式——引力动力学/作用/时空是突现的,其特征是“熵泛函”——是作为一个基本上非局部量子时空的Cheshire咧嘴笑而产生的。本文描述了度量相对于普朗克长度的流动,并提出了一个新的作用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Limits of a non-local quantum spacetime
A generic implication of incorporating gravitational effects in the analysis of quantum measurements is the existence of a zero-point length of spacetime. This requires an inherently non-local description of spacetime, beyond the usual one based on metric $g_{ab}(x)$ etc. The quantum spacetime should instead be reconstructed from non-local bi-tensors of the form $\mathscr{G}_{ab \ldots i'j' \ldots}(x,x')$. A deeper look then reveals a subtle interplay interplay between non-locality and the limit $G\hbar/c^3 \to 0$. In particular, the so called emergent gravity paradigm -- in which gravitational dynamics/action/spacetime are emergent and characterised by an *entropy functional* -- arises as the Cheshire grin of a fundamentally non-local quantum spacetime. This essay describes the flow of metric with respect to Planck length, and proposes a novel action for the same.
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来源期刊
International Journal of Modern Physics D
International Journal of Modern Physics D 地学天文-天文与天体物理
CiteScore
3.80
自引率
9.10%
发文量
181
审稿时长
4-8 weeks
期刊介绍: Gravitation, astrophysics and cosmology are exciting and rapidly advancing fields of research. This journal aims to accommodate and promote this expansion of information and ideas and it features research papers and reviews on theoretical, observational and experimental findings in these fields. Among the topics covered are general relativity, quantum gravity, gravitational experiments, quantum cosmology, observational cosmology, particle cosmology, large scale structure, high energy astrophysics, compact objects, cosmic particles and radiation.
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