This work investigates the fundamental wave properties of gravitational radiation within the framework of Time Field Theory (TFT). Starting from the first-principles scalar wave equation of TFT, we derive the monochromatic plane-wave solutions, analyze the gravitational wave Doppler redshift, establish the geometric optics approximation in the short-wavelength limit, and construct the canonical energy–momentum tensor for the time-field. The results confirm that TFT gravitational waves propagate at the speed of light, obey standard relativistic frequency shifts, follow ray-like trajectories in the high-frequency regime, and carry positive-definite, conserved energy. These results establish the consistency and physical soundness of gravitational waves in Time Field Theory.
Huowang Huang (Mon,) studied this question.