The Standard Model of modern physics contains dozens of free parameters that cannot be derived from firstprinciples, among which the gravitational constantand the vacuum permittivity are regarded as independent fundamental constants. Basedon the "Topological Residual Theory" (TRT), this paper establishes the "spatial right-handedcylindrical spiral motion at the speed of light" as the first postulate. By introducing Helmholtz'svortex theorems from fluid dynamics, we construct a physical picture of local topologicalenergy equilibrium between gravity and electromagnetism. Furthermore, utilizing the spiralpath ratio (the inverse of the fine-structure constant) and the speed of light , we propose across-dimensional constant absorption mechanism. Strict mathematical derivationsdemonstrate that and are not independent empirical parameters, but rather geometricresidual projections of the same spatial spiral fluid at different topological levels, satisfying theexact algebraic relationship . This research provides a novel, pure geometricparadigm for the grand unification of macroscopic gravity and microscopic electromagnetism.