Statistical Gravity, ADM Splitting, and Affine Quantization

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.