AI 中文总结
探讨霍伊尔-纳里卡尔理论中引力超距作用公式，其两点函数对时空结构起关键作用。认为该理论要素与量子时空研究相关，以普朗克尺度为零点长度的非局部描述可提供宇宙告知局部因果结构的机制，还通过案例说明其与量子引力马赫原理的联系。
AI 中文摘要
霍伊尔-纳里卡尔的引力超距作用公式是将马赫原理纳入物理学最具数学严谨性的尝试之一。鲜为人知但同样重要的是，它也是最早让两点函数在确定时空结构中起关键作用的理论之一，两点函数比度规更基本。我们认为这些要素与理解量子时空的基本、涌现和信息方面的现代尝试直接相关。以普朗克尺度\(\ell_0\)作为零点长度的量子时空非局部描述，提供了一种机制，通过它整个宇宙能像马赫、霍伊尔和纳里卡尔那样告知局部因果结构。本章突出了HN理论的某些关键方面，然后讨论现代研究案例，说明量子时空如何实现量子引力马赫原理的一个版本。
英文摘要
The Hoyle-Narlikar action-at-a-distance formulation for gravity remains one of the most mathematically rigorous attempts to incorporate Mach principle into physics. A lesser known, but no less significant, is the fact that it is also one of the first in which two point functions play a key role in determining spacetime structure, and hence, are more fundamental than the metric. We argue that these ingredients have direct relevance for modern attempts to understand fundamental, emergent, and informational aspects of quantum spacetime. The non-local description of quantum spacetime, with Planck scale $\ell_0$ as a zero-point length, provides a mechanism through which the entire universe can inform local causal structure, `a la Mach, Hoyle, and Narlikar. In this chapter, we highlight certain key aspects of the HN theory and then discuss case studies from modern research that illustrate how the quantum spacetime might realize a version of the quantum gravitational Mach principle.
CommentsContribution to "Narlikar's Steady World: Man and the Legend"
