Geometric Modeling of Space:The Universe in Full Spatial Connectivity

Synopsis:This thesis derives the solution of the curvature action infinity based on Einstein's field equations. A new physical model based on the first-principle concept of “space curvature linkage” is derived to unify general relativity and quantum mechanics. The motion, spin, mutual repulsion and stable structure of particles can be explained by the self-consistent evolution of curvature perturbations. This theory reveals the “global coupling” characteristic of curvature and the fundamental mechanism of “curvature perturbation leading to particle dynamics”. At the same time, the paper predicts the complete trajectories of the cosmic stars. By distinguishing the Newtonian gravity from the Einstein tensor, the paper demonstrates that the model is not only highly theoretically simple and unified, but also highly consistent with the existing observations. In order to demonstrate the significance of the “full domain curvature linkage model” at the level of physical intuition, the authors introduce a number of figurative analogical experiments. These experiments are designed to convey the logic of energy perturbation under abstract geometrical changes in an analogous manner, thus bridging the traditional mechanical understanding with the evolution of spatial curvature.