Statistical Gravity, ADM Splitting, and Affine Quantization

IF 2.1 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Gravitation and Cosmology Pub Date : 2025-12-03 DOI:10.1134/S0202289325700446

Riccardo Fantoni

引用次数: 0

Abstract

In a recent publications I proposed a new statistical theory of gravity [Riccardo Fantoni, Quantum Reports 6, 706 (2024)], which describes fluctuations of the space-time metric through a virial temperature. In a succeeding publication I discussed the foundations [Riccardo Fantoni, Stats 8, 23 (2025)] of such a theory. Here, I propose a possible way to render numerically accessible the path integral Monte Carlo computations required in the Statistical Gravity theory. This requires the use of the Arnowitt–Deser–Misner (ADM) splitting and of the Affine Quantization (AQ) method.

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统计重力，ADM分裂和仿射量化

在最近发表的一篇文章中，我提出了一种新的引力统计理论[Riccardo Fantoni， Quantum Reports 6,706(2024)]，它描述了时空度规在虚拟温度下的波动。在随后的一篇文章中，我讨论了这种理论的基础[Riccardo Fantoni， Stats 8,23(2025)]。在这里，我提出了一种可能的方法，使统计重力理论所需的路径积分蒙特卡罗计算在数值上可访问。这需要使用Arnowitt-Deser-Misner （ADM）分裂和仿射量化（AQ）方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-

CiteScore

1.70

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoplesâ€™ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community