Deterministic Resolution of Quantum Paradoxes via Incompressible Navier-Stokes Vorticity in a Superfluid Vacuum

Modern theoretical physics interprets quantum entanglement and the quantum erasure phenomenon through the lens of ontological probability, wave-function collapse, or faster-thanlight informational exchange. This study presents a strictly deterministic, classical alternativewithin the framework of the Dynamic Vacuum Theory (DVT). We model the universal spacetime fabric as a physical, non-viscous (µ = 0), and incompressible (∇ · u = 0) superfluidvacuum ocean. Fundamental particles are defined as localized topological vortices—termedArtik-Vortices—governed by the incompressible Euler and Navier-Stokes equations. We provethat quantum entanglement is not an informational transmission across space, but an instantaneous global pressure stabilization requirement dictated by the Artik-Vortex Equilibrium Law( Σ(∇ · Pv)dΩ = 0). Furthermore, the delayed-choice quantum eraser experiment is resolvedmechanically: the extraction or erasure of ”which-way” data represents the injection or damping of localized pressure anomalies within the superfluid, enabling the medium to undergo aself-healing process that restores global wave interference. This framework seamlessly bridgesquantum mechanics and macro-astrophysics, replacing dark matter with hydrodynamic vacuumpressure gradients without violating the relativistic limits of localized wave propagation.