Conjugate Golden Decay Law: A Universal First-Principle Law for Full-Scale Hierarchical Dissipation

Abstract Existing studies can only phenomenologically fit the golden ratio energy distribution within single thermal systems or one-dimensional time series, failing to reveal the physical origin of this ratio and lacking a unified dissipative dynamics framework spanning micro, meso and cosmic scales. Based on the three core axioms of Real-Virtual Dual Field Theory, taking the double-layer fractal virtual field lattice as the spatial medium substrate, this paper jointly proves via three independent constraints: fractal self-similar fixed-point algebra, thermodynamic entropy increase inequality and lattice elastic mechanics, that the Conjugate Golden Decay Law is the unique long-term steady-state evolution rule for all nested hierarchical open dissipative systems. The core steady-state partition retains 61.8% ordered structural energy and dissipates 38.2% entropy energy, deriving the universal decay constant . A global unified dissipative field equation is constructed to unify vacuum fluctuation, quantum entanglement, electromagnetic & gravitational propagation, celestial dynamics, organism metabolism and value circulation across all scales. This paper rigorously demonstrates that published 1D golden autocorrelation and macroscopic thermodynamic golden balance models are simplified special cases of this law after ignoring spatial hierarchy and intrinsic field resistance. No alternative theory can fully describe full-scale hierarchical dissipation without this framework. Multiple falsifiable observational predictions are proposed, verifying that the Conjugate Golden Decay is a universal fundamental physical law with ontological foundation, strict mathematical proof and cross-disciplinary empirical support.Keywords: Conjugate Golden Decay; Hierarchical Dissipation; Fractal Virtual Field Lattice; Real-Virtual Dual Field; Golden Ratio; Intrinsic Field Resistance; Universal Steady State