The speaker’s research team discovered a new frame of general relativity, as well as the self-consistent coupling between gravity and matter in this frame. Assuming this novel gravitational coupling in our universe and tracing the universe back in time, they reach a de Sitter phase with finite Hubble rate. Therefore, this novel gravitational coupling scenario exhibits a cosmological singularity freeness at high energy density limit. A linear perturbation analysis reveals the weak gravitational coupling at such limit, in contrast to the standard minimal coupling in Einstein gravity.