T₃-S 旋流源汇场论: 真空环流动力学下引力、电磁与量子现象的几何统一 T₃-S Vortex Source-Sink Field Theory: Geometric Unification of Gravity, Electromagnetism and Quantum Phenomena under Vacuum Circulation Dynamics

摘要 本文在T₃旋流几何框架基础上,引入源-汇对偶作为顶层约束,构建真空环流动力学统一场论。本文证明:T₃真空场的旋度与散度耦合必然自发涌现对数螺旋结构,自然导出的向心加速度梯度。 相互作用分为两类拓扑模式: 汇模式(场驱动物质):全域本征真空环流为第一动因,物质客体凭借阻滞耦合密度作为障碍物,通过环流遮蔽压差产生引力,通过相对滑移产生惯性;二者同源,直接导出等效原理,无需作为实验公理。阻滞密度恒非负,故引力仅可叠加、不可抵消,且为高阶残余效应,强度极弱。 源模式(物质驱动场):粒子自旋拓扑结作为主动源,扰动真空环流生成局域涡旋,对应电磁、强、弱相互作用;存在正反拓扑涡旋,可相互抵消屏蔽,为一阶主动扰动,耦合强度远高于引力。 本文进一步通过中道约束与偏差量的相对比值建立相变判据,推导引力相变半径与平方根标度律,解释星系平坦旋转曲线与哈勃张力;通过三层速度体系与拓扑闭环机制,推导静质量的拓扑起源、量子作用量与叠加态系数的几何本质,并复现贝尔不等式破坏值。本框架保留原T₃理论全部定量验算能力,同时补齐因果机制层面的核心短板。 Abstract Based on the T₃ vortex geometry framework, this paper introduces source-sink duality as the top-level constraint to construct a unified field theory of vacuum circulation dynamics. This paper proves that the coupling of curl and divergence of the T₃ vacuum field will spontaneously emerge a logarithmic spiral structure, and naturally derive a centripetal acceleration gradient of . Interactions are divided into two topological modes: Sink mode (field drives matter): The global intrinsic vacuum circulation is the first motive force. Material objects act as obstacles with retardation coupling density , generating gravity through circulation shielding pressure difference and inertia through relative slip. The two share the same origin, which directly derives the equivalence principle without being taken as an experimental axiom. The retardation density is always non-negative, so gravity can only be superimposed and cannot be canceled, and it is a high-order residual effect with extremely weak intensity. Source mode (matter drives field): Particle spin topological knots act as active sources, disturbing the vacuum circulation to generate local vortices, corresponding to electromagnetic, strong and weak interactions. There are positive and negative topological vortices that can cancel each other out, which is a first-order active disturbance with much higher coupling strength than gravity. Furthermore, this paper establishes a phase transition criterion based on the relative ratio of moderation constraint and deviation, derives the gravitational phase transition radius and square root scaling law, and explains the flat galactic rotation curve and Hubble tension. Through the three-layer velocity system and topological closed-loop mechanism, this paper derives the topological origin of rest mass, the geometric essence of quantum action and superposition state coefficients, and reproduces the Bell inequality violation value of . This framework retains all the quantitative verification capabilities of the original T₃ theory, and at the same time fills the core shortcoming at the causal mechanism level.