A novel approach to link quantum physics and general relativity: from time-energy uncertainty principle to spacetime curvature

Linking general relativity and quantum mechanics faces significant challenges due to their fundamental differences. In this paper we show that the time curvature, as described in general relativity, may be a result of the uncertain time duration modification in time-energy uncertainty principle for virtual particles. In presence of a real object in space, this uncertain time is shortened and the ratio between this reduced uncertain time and the unchanged one in vacuum is shown to define the time curvature. This uncertain time reduction may allow virtual particles to exist prematurly and act as real ones before being annihilated by their respective time unmodified virtual antiparticles.By computing these virtual particles average action in space, we find that it corresponds to the Hilbert-Einstein action that characterizes the spacetime curvature. We anticipate that the dark energy and matter, fine structure constant etc. may be results from the quantum fields functioning way described by our theory.