A Temporal Field Approach to Gravity: Numerical Validation of Galaxy Rotation and Light Deflection

This work presents a novel theoretical framework where gravity emerges from a scalar temporal field characterized by temporal and spatial rigidity parameters. Unlike traditional models, this temporal field approach explains galactic rotation curves and gravitational light bending without invoking dark matter or inserting Newton’s gravitational constant explicitly. Through detailed numerical calculations, we demonstrate how the gradients of the temporal field reproduce observed flat rotation velocities in galaxies and precisely match the solar light deflection angle predicted by General Relativity. The model offers a consistent, geometry-based interpretation of gravity rooted in the intrinsic balance between temporal and spatial stiffness, leading naturally to the invariant speed of light . This dataset includes the full derivations, parameter values, and numerical results supporting the hypothesis, aiming to provide a transparent, reproducible foundation for future explorations of gravity beyond standard paradigms. Keywords: Temporal field, gravity, galaxy rotation curves, light bending, dark matter alternative, numerical modeling, spacetime rigidity, fundamental constants. Author: Anwar Morgan — [email protected]