Non-Hermitian Topology of the QCD Vacuum: Unifying Collective Vortex Projection with Exceptional Point Dynamics (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 formalizes the proposed Morphology of Vacuum Condensate (MVC) threshold using the language of Non-Hermitian Quantum Mechanics (NHQM). We demonstrate that the confinement-deconfinement transition maps to a spectral bifurcation at a second-order Exceptional Point (EP2) of an effective non-Hermitian Hamiltonian governing the collective vortex mode. By adopting the unified vortex-charge duality invariant 𝑄 + 𝑖𝒱, we provide a topological stability criterion for the geometric EPR bridge in the holographic dual. Furthermore, the framework identifies the Petermann factor divergence near the EP as the source of the system's anomalous sensitivity to photon coincidence measurements (collective projection).