Inertial Dynamics of Massive Quantum Vortices in the QCD Vacuum: Resolution of the Instant Collapse Paradox via Core-Filling Mechanisms (Supplement to "Topological Vortex Superradiance and the Geometric EPR Bridge")

This document serves as a theoretical supplement to the main thesis "Topological Vortex Superradiance, Two-Mode Squeezing, and the Geometric EPR Bridge". It addresses the dynamical stability of topological vortices in the QCD vacuum, specifically resolving the instant collapse paradox associated with massless vortex models. By incorporating the core-filling mechanism of the gluon condensate, we derive an effective inertial mass 𝑀_eff for the vortex, transitioning its dynamics from first-order Aristotelian precession to second-order Newtonian trajectories. This framework, grounded in superfluid vortex theory, explains two critical phenomena: The emergence of radial breathing modes that trigger hadronization. The observation that the hadronization mass budget is dominated by the vortex inertial energy rather than the bare quark masses.