Dynamics of non-static stochastic contributions to the path integral

Determine the dynamics of time-dependent, non-static stochastic contributions to the classical-quantum gravity path integral beyond the static spherically symmetric sector, including their temporal and angular structure and their impact on observable deviations from general relativity.

Background

While the paper analyzes static, spherically symmetric metrics to capture large-scale anomalous effects (e.g., γ1 r and γ2 r^2 terms), the authors note that realisations of stochastic noise are non-uniform and time-dependent. They treat the static sector as capturing imprinted fluctuations and acknowledge that other (non-static) contributions may exist.

The absence of a developed dynamical model for such contributions limits quantitative predictions, making the determination of their evolution and observational signatures an explicit open task.