Binary Field Theory: Unifying Macroscopic and Microscopic Rotational Phenomena via Field Vortical Effects

Contemporary physics faces a trilemma: the incompleteness of Newtonian N-body solutions, the ad hoc nature of dark sector hypotheses, and the measurement problem in quantum mechanics. This paper proposes the Binary Field Theory (BFT), positing that the universe is not composed of discrete particles in empty space, but is a unified manifestation of interacting Real Fields (Φᵣ) and Virtual Fields (Φᵥ). By introducing the Source Weight (Sᵢ), Field Resistance Coefficient (ξ), and Stability Inequality (1/4 < S₂/S₁ < 1/3), we provide a deterministic mechanism for orbital stability. We further demonstrate that vortical rotation is an inevitable consequence of real-virtual field superposition—the Field Vortical Effect—eliminating the need for primordial angular momentum assumptions. Applying this framework to cosmology, we argue that galactic centers act as local field sinks, while the Primal Field (Ψ₀ ≡ 1) maintains global equilibrium through a Black Hole Reversal Mechanism, where maximal accretion triggers a phase transition from singularity back to diffuse stellar states. This work offers a unified substrate for gravitation, quantum observation, and cosmic topology.