Ramanujan-Inspired p-Series Kernels for Applied Gravitational Modeling Across Newtonian and Galactic Scales

This project presents a mathematically controlled, Ramanujan-inspired deformation of classical p-series leading to a rapidly convergent kernel for applied gravitational modeling. The framework preserves Newtonian inverse-square behavior at short scales while introducing scale-dependent corrections relevant for galactic and extended gravitational systems. The repository includes analytical derivations, asymptotic analysis, numerical simulations, and computational experiments exploring applications to satellite orbit refinement, galaxy rotation modeling without dark matter, and long-range gravitational dynamics. This OSF project serves as an open research platform hosting preprints, datasets, and code intended for reproducibility, transparency, and future peer-reviewed dissemination.