A Deterministic Resolution to the Three-Body Problem: Transitioning to Continuum Mechanics via the Dual Rotational Current Model

In this letter, I provide a formal deterministic solution to the historic Three-Body Problem.

By rejecting the abstraction of empty space and treating the vacuum as a solid, helical topological

manifold of interlocking magnetic currents, I demonstrate that the chaotic sensitivity characteristic

of classical mechanics disappears. I introduce the Unified Kinetic Equation, derived from my Dual

Rotational Current Model (DRCM), which constrains orbital trajectories to a mechanical saddle

point defined by the stability parameter σ = 1/2. I present a rigorous numerical example proving

that trajectories are geometrically unique and analytically solvable.

本通讯中，笔者针对经典三体问题（Three-Body Problem）提供了一套严谨的确定性解法。通过摒弃真空空间的抽象化假设，将真空视为由互锁磁流构成的固态螺旋拓扑流形，笔者证明经典力学的混沌敏感特性不复存在。笔者引入由双旋转电流模型（Dual Rotational Current Model，DRCM）推导得到的统一运动方程，该方程将轨道轨迹约束于由稳定性参数σ=1/2定义的力学鞍点之上。笔者还给出一项严谨的数值算例，证明轨道轨迹在几何上具有唯一性，且可通过解析方法求解。