Operational Framework for Time Inversion in General Relativity

Abstract (Optimized) Abstract (Optimized) I propose a spacetime inversion framework rooted in General Relativity (GR), and propose an alternative approach that treats proper time as an active dependent variable. I introduce the ”FuXi Value” — the differential ratio of a particle’s proper time to the coordinate time of a distant observer, essentially describing the relative time flow rate across different regions. Derived purely from relativistic metric relations, it requires no additional physical assumptions. This framework enables ”GR-based model-minimal inversion”: physical quantities (mass, spatial structure, gravitational potential) can be retrieved directly from observable proper time sequences, without presupposing specific gravitational field models or dynamical equations. Fully compatible with GR, it unifies the explanation of gravitational redshift, gravitational wave frequency shift, and gravitational time delay within the solar system. Combined with high-precision atomic clock networks and astronomical observation data, this framework provides a theoretical basis for mapping solar system spacetime. It offers precise spacetime navigation for deep space missions within the solar system and provides a complementary approach to exploring solar system large-scale structures and weak-to-moderate gravitational field regions. I would be deeply grateful if seniors specializing in General Relativity, spacetime physics, and dark matter research could endorse this work on arXiv via the following link: https://arxiv.org/auth/endorse? x=G9TUIW. Keywords: General Relativity, Fuxi Theory, time calibration, deep-space navigation