The Vortex Framework Part VII: Dynamics, Renormalization, the Emergent Universality of the Superfluid Vacuum, and Quantitative Emergence of α

We study the superfluid vacuum through the Vortex Framework (VF), treating it as a mesoscopic quantum substrate whose microscopic degrees of freedom are par-tially coarse-grained at long wavelengths. By systematically integrating out microstructure, we show that Lorentz invariance, gauge symmetries, and Einstein-Hilbert gravityemerge as infrared attractors, protected by topology and phase rigidity rather than imposed a priori. Effective couplings, including the emergent gravitational constant Geffand the fine-structure constant αVF, exhibit weak dependence on microscopic details and scale logarithmically or via power laws, ensuring stability under renormalization-group flow. Using both discrete vortex lattice and continuum approximations, we demonstrate how αVF arises naturally from vortex circulation, phase stiffness, and co-herence geometry, providing a predictive, falsifiable mechanism for the observed value of α. The framework identifies explicit falsifiers and delineates the regime of validity for low-energy effective physics, offering a unified mesoscopic perspective on emergent constants and vacuum structure. We provide a quantitative derivation of the fine-structure constant αVF from vortex circulation, phase stiffness, and coherence geometry, yielding a value in close agreement with observation.