Ancient Wisdom1 plus negative 1 equals 0

This document proposes a comprehensive "Hexue" (Harmony Learning) theoretical system that integrates ancient wisdom (Fuxi Bagua, Laozi's Taoism) and modern science, centered on the Zero-State Field (ZSF) as the ontological foundation. The core framework is built around two key logics: the equilibrium law of 1+(-1)=0 (explaining the symbiotic opposition and ultimate unity of explicit/implicit states in the universe) and the evolutionary logic of 1+(-2)=3 (revealing the sublimation path of things through the fusion of current explicit forms and historical implicit potential energy). Through 3D numerical simulations, spectral analysis, and reproducible Python scripts, the theory verifies the convergence of ZSF to a stable zero state, the regulatory role of the "Three Talents (Heaven/Earth/Human)" in field coherence, and the dynamic transformation between explicit and implicit states. It also establishes a rigorous algebraic isomorphism between Fuxi Bagua and ternary vector space (\mathbb{Z}_3^3), demonstrating that hexagram line flipping corresponds to modular-3 vector translation. Practical applications are explored in tri-state chips, interstellar communication (ternary encoding with superior anti-interference performance), and energy systems, forming a closed loop of "theoretical deduction → numerical verification → engineering application" that bridges ancient symbolic wisdom with modern scientific and technological practices.