太极统一场论双母公式全域推导物理核心理论及宇宙本源问题 Taiji Unified Field Theory Dual Master Formulas: Global Derivation of Core Physical Theories and the Origin of the Universe

摘要 本文以太极统一场论先天A版(K ≡ -1,体/先天,相反相成)、后天B版(K ≈ -1 ± ε,用/后天,相辅相成)双母公式为唯一底层公理体系,通过完整、连续、可复现的分步数学推导,完成对爱因斯坦广义相对论场方程、杨振宁-米尔斯规范场方程、量子电动力学(QED)、量子色动力学(QCD)、薛定谔方程、狄拉克方程、海森堡方程及基本对易关系的全域推导;同时严格推导质量起源公式、自旋生成机制、额外维度场论诠释、暗物质与暗能量物理本质、宇宙学常数解析解。全文无跳跃、无特设假设、无经验参数,证明现代物理所有核心理论均为太极统一场论在不同时空尺度、不同近似条件下的派生特例,构建逻辑自洽、可证伪、可检验的物理大一统框架,为基础物理与宇宙学提供原创性东方科学底层支撑。 Abstract Based on the dual master formulas of Taiji Unified Field Theory, including the innate Version A (K ≡ -1, essence/innate, opposite complementation) and the acquired Version B (K ≈ -1 ± ε, function/acquired, mutual complementation), this paper systematically derives Einstein's field equation of general relativity, Yang-Mills gauge field equation, quantum electrodynamics (QED), quantum chromodynamics (QCD), Schrödinger equation, Dirac equation, Heisenberg equation and fundamental commutation relations through complete, continuous and reproducible step-by-step mathematical deduction. Meanwhile, the formula of mass origin, spin generation mechanism, field theoretical interpretation of extra dimensions, physical essence of dark matter and dark energy, and analytical solution of cosmological constant are strictly derived. Without logical jumps, ad hoc assumptions or empirical parameters, this paper proves that all core theories of modern physics are derived special cases of Taiji Unified Field Theory under different spacetime scales and approximate conditions, establishing a logically self-consistent, falsifiable and testable framework for the unification of physics, providing an original oriental scientific foundation for fundamental physics and cosmology.