Conjugate Golden Decay Rate--A Universal Calculation Method for N-Body Stable Systems in the Solar System Under Binary Field Theory

Based on the core framework of Binary Field Theory (BFT), this paper extends the Conjugate Golden Decay Law from three-body systems to arbitrary single-primary hierarchical nested N-body stable systems, and establishes a complete general mathematical derivation system and calculation rules. It clearly distinguishes between the ideal topological steady-state formula and the real physical field correction formula, explains the physical connotation of the general master formula line by line, and clarifies the fundamental mechanism of hierarchical decay and field resistance correction. Taking the Solar System as a standard verification sample, the quantitative calculation of the source weights of the eight planets and major satellites is completed. The results show that the steady-state source weights of all celestial bodies in the Solar System strictly follow the Conjugate Golden Decay Law, and the 100:30:5 ratio of the Sun-Earth-Moon system is a natural calculation result under this law. This study proves that the Conjugate Golden Decay Law is a universal dynamic law for single-primary hierarchical steady-state N-body systems, providing a new unified theoretical tool for the evolution and stability prediction of celestial systems.