使时空成为必然
Necessitating Spacetime
AI总结:
本文研究了独立于度规和仿射结构的引力系统剩余结构,考察了规范场衰减、AdS/CFT纠缠熵、Kruskal坐标因果结构修改及经典引力奇点历史,并将其纳入移动尺度本体论系统。
摘要:
我们研究了描述引力系统中物理数据的结构,这些结构在不同程度上独立于度规和仿射结构。我们将这种结构称为剩余结构,并试图将其纳入我们的本体论承诺中。重点放在那些由物理数据驱动、用于约束我们模型所需的那些结构上。我们考察了渐近平坦时空中规范场的衰减行为、AdS/CFT对应中纠缠熵的计算,以及在Kruskal坐标中修改时空因果结构的任意参数的引入。我们还对经典引力中奇点的理解进行了历史回顾。本文参考了原始文献。我们还探讨了一个玩具宇宙学模型,其中全局拓扑由我们规定为动态$Λ$的附加函数决定。这种剩余结构使用中介者的语言进行分类,并被置于先前工作中引入的移动尺度本体论系统中。
英文摘要:
We investigate structure that describes physical data in gravitational systems that is, to one degree or another, independent of the metric and affine structure. We dub such structure surplus structure and seek to incorporate it into our ontological commitments. An emphasis is placed on those structures which are required to constrain our models motivated by physical data. We look at the fall-offs of the gauge fields in asymptotically flat spacetimes, the computation of entanglement entropies in the AdS/CFT correspondence, and the addition of arbitrary parameters which modify the causal structure of spacetime in Kruskal coordinates. We also present a historical overview of the understanding of singularities in classical gravitation. Primary sources are turned to here. A toy cosmological model is also explored in which global topology is determined by an additional function which we prescribe as a dynamical $Λ$. Such surplus structure is classified using the language of intermediaries and positioned within the system of a shifting-scale ontology as introduced in prior work.
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。