基于T3三维数代数的三叶结涡旋强相互作用场方程组 T3 Three-Dimensional Number Algebra Based Trefoil Vortex Field Equations for Strong Interaction

摘要 Abstract 中文: 本文采用原创 T3三维数代数 作为底层数学结构,将强子微观结构建模为三维三叶结拓扑涡旋,建立一套全新的强相互作用场动力学方程组。本模型放弃传统量子色动力学SU(3)规范场框架,完全以第一性原理构造:真空介质无粘涡旋演化、四维环流守恒、三分支拓扑正交、以及 T3原生乘法循环约束 共同构成强相互作用完整动力学。模型自然导出短程作用、色正交、色循环、渐近自由与色禁闭核心行为,实现强相互作用的纯几何–代数统一描述。 English: This work adopts the original T3 three-dimensional number algebra as the fundamental mathematical structure. Hadron microstructure is modeled as a topological trefoil vortex, and a new system of strong-interaction dynamic field equations is established. Abandoning the conventional SU(3) gauge framework of quantum chromodynamics, the model is constructed entirely from first principles: inviscid vacuum vortex evolution, four-dimensional circulation conservation, three-branch topological orthogonality, and cyclic constraints defined by native T3 multiplication jointly form the complete dynamics of the strong interaction. The model naturally produces short-range interaction, color orthogonality, color cyclicity, asymptotic freedom, and color confinement, achieving a pure geometric-algebraic description of the strong force. 关键词 Keywords 中文:T3三维数;非结合代数;三叶结拓扑;涡旋动力学;强相互作用;场方程组 English:T3 three-dimensional number; non-associative algebra; trefoil topology; vortex dynamics; strong interaction; field equations