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Statistical Gravity, ADM Splitting, and Affine Quantization
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AI
DOI：10.1134/S0202289325700446.png)
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Abstract
En 中文
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.
Keywords:
Statistical Gravity
ADM Splitting
Affine Quantization