Gravity as a Timing Field: Alpha-C (Classical Motion) and Alpha-Q (Quantum Phase) as Dual Observational Regimes

Modern gravitational experiments are fundamentally measurements of clock rates. Atomic clocks in terrestrial laboratories and satellite navigation systems demonstrate that gravitational environments manifest operationally through variations in the rate at which physical time accumulates. In this work gravity is interpreted as a scalar timing field θ(x,t) relating coordinate time to proper time. Spatial gradients of this timing field generate classical gravitational acceleration (Alpha-C), while accumulated proper time along a trajectory governs quantum phase evolution (Alpha-Q). Classical trajectories and quantum phase shifts therefore become complementary probes of a common timing structure governing clock synchronization across spacetime.