太极统一场论:离散时空晶格与纤维丛代数耦合下的四力统一框 架 Taiji Unified Field Theory: A Four-Force Unification Framework via Discrete Spacetime Lattice and Fiber-Bundle Algebraic Coupling

摘要

本⽂提出⼀套以"太极统⼀场"为本体、以阴阳耦合为核⼼机制的统⼀场论框架。该框架以阴场 $\Phi_-$

描述量⼦场与微观三种相互作⽤(电磁、强、弱),以阳场 $\Phi_+$ 描述引⼒场与宏观时空⼏何,以活

秤砣系数 $K\approx\pm1$ 作为阴阳相变临界阈值。⼏何上采⽤离散时空晶格⼏何(阴)与纤维丛代数

(阳)耦合;⽅程上构建A版先天对称态、B版现实破缺态、量变质变关联式、时空晶格⽅程、纤维丛动

⼒学演化⽅程以及⼯程落地三⽅程。本⽂进⼀步从变分原理给出 $K$ 的动⼒学来源,⽤量纲分析确定纤

维丛耦合常数 $\kappa=1/M_P^2$,将离散晶格尺度定为普朗克⻓度 $l_0=\ell_P$,并给出同频共振判

据、弱场 $K\to$ 常数机制、太极键能量纲修正、熵减排熵下限与可检验偏差项等后续定量⼯作。研究表

明,该⽅程组在特定极限条件下可分别退化为⽜顿万有引⼒、爱因斯坦⼴义相对论与量⼦⼒学⽅程,说

明三者均为太极统⼀场论在各⾃参数区间内的局部近似解。该框架尝试将四种基本相互作⽤纳⼊同⼀阴

阳耦合体系,并给出可⼯程化的定量约束。

This paper proposes a unified field theory framework grounded in the Taiji (Yin-Yang) unified

field as its ontological basis, with Yin-Yang coupling as its core mechanism. The Yin $\Phi_-$ describes quantum fields and the three microscopic interactions (electromagnetic,

strong, and weak), while the Yang field $\Phi_+$ describes the gravitational field an

macroscopic spacetime geometry. The living-balance coefficient $K\approx\pm1$ serves as th

critical threshold for Yin-Yang phase transitions. Geometrically, a discrete spacetime lattic

geometry (Yin) is coupled to fiber-bundle algebra (Yang). From the variational principle w

derive the dynamical origin of $K$; by dimensional analysis we fix the fiber-bundle couplin

constant $\kappa=1/M_P^2$, set the lattice scale to the Planck length $l_0=\ell_P$, and giv

the resonance criterion, the weak-field $K\to$ constant mechanism, the dimensiona

correction of the Taiji binding energy, the entropy-export lower bound and testable deviatio

terms. Under specific limiting conditions the equations reduce respectively to Newtonia

gravitation, general relativity and quantum mechanics, indicating all three are loca

approximate solutions. The framework incorporates the four fundamental interactions into 

single Yin-Yang coupling system and provides engineerable quantitative constraints