Timing-Field Gravity: A Two-Layer Framework for Classical Motion and Quantum Phase Evolution

Timing-Field Gravity proposes a framework in which gravitational curvature produces two measurable responses: a classical dynamical response governing the motion of matter and a quantum phase response governing the evolution of quantum systems. The classical sector reproduces Einstein’s general relativity, while a scalar timing field introduces curvature-dependent corrections to quantum phase evolution. The theory preserves standard gravitational predictions for planetary motion, light bending, and gravitational waves, while predicting extremely small curvature-dependent phase shifts detectable through precision timing experiments. Potential observational tests include atomic clock networks, pulsar timing arrays, satellite timing loops, matter-wave interferometers, and deep-space probe clocks. This framework therefore provides a phenomenological approach connecting gravity with quantum phase evolution while remaining consistent with known weak-field gravitational tests.