N-body Normalized Conjugate Golden Decay Economics: A Unified Mathematical Framework for Marginal Effects, Money Multiplier and Resolution of Long-standing Economic Puzzles

Traditional economics has long suffered from three fundamental flaws: the separation between microeconomic and macroeconomic theories, insufficient analysis of dynamic evolutionary processes, and difficulties in modeling complex interactions among heterogeneous economic agents. Meanwhile, two core classical theories — the law of diminishing marginal utility and the money multiplier theory — have obvious theoretical defects: the former only attributes diminishing marginal utility to psychological and physiological factors without deriving its exact mathematical form, while the latter implies the possibility of unlimited credit expansion and hyperinflation, which contradicts real economic performance. This paper integrates the conjugate golden decay rate and the N-body normalization method to construct a complete N-body Normalized Conjugate Golden Decay Model (NNCGDM). We first define the basic mathematical properties of the conjugate golden decay rate, then extend the single-chain decay rule to a multi-agent network system via N-body normalization. Through rigorous mathematical derivation, this paper unifies the explanations for diminishing marginal utility, diminishing marginal product of production factors, and the decaying effect of money multiplier. We further prove that all transmission-based economic activities follow the dual constraints of conjugate golden decay and global resource normalization. Based on the unified framework, this paper systematically resolves twelve long-standing unsolved puzzles in traditional economics, including the absence of hyperinflation under zero reserve requirement ratio, the spontaneous formation of Pareto wealth distribution, the stable wavelength of business cycles, the mechanism of liquidity trap, and the low forecasting accuracy of DSGE models. In addition, we design a comprehensive empirical testing system, propose targeted policy application frameworks, and clarify future theoretical expansion and empirical research directions. This study verifies that the economic system is a deterministic system governed by universal mathematical laws, and the conjugate golden decay rate serves as the underlying core operator connecting micro and macro economics.