Z4DP: Hydrodynamic Resolution of Wave-Particle Duality - Deterministic Mechanics of the Double-Slit Experiment in a Superfluid Vacuum

This paper provides a fully deterministic, hydrodynamic resolution of wave-particle duality within the theoretical framework of a compressible superfluid continuum (Z4DP). The study offers a causal alternative to the Copenhagen interpretation and the concept of wavefunction collapse. In the presented model, the electron is defined as a macroscopic topological defect (sink) that generates a real phase pilot wave during its motion. During the double-slit experiment, this wave passes through both slits and interferes, whereas the physical node itself (the electron) passes through only a single slit and is subsequently hydrodynamically advected by the pressure gradient of the perturbed medium. Furthermore, the paper provides an exact mechanical explanation of the "Observer Effect" (Measurement Problem): introducing a measuring device into the system does not induce a collapse of reality, but rather represents a physical input of energy that triggers hydrodynamic noise within the medium. This noise destructively modifies the fragile pilot wave, causing the electron to lose its navigational gradient and continue its trajectory purely by inertia. The modification of the system's behavior is thus a direct consequence of classical fluid mechanics, restoring determinism and objective realism to quantum phenomena without the need for probabilistic wavefunctions or many-worlds interpretations.