Acoustic Emission and Hydrodynamic Cavitation in a 4D Superfluid Vacuum: A Topological Resolution to the Black Hole Information Paradox

The unification of General Relativity and Quantum Mechanics consistently fails at the singularity of black holes, culminating in the intractable Black Hole Information Paradox. Building on the V4DS (Universe as a 4D Superfluid) framework, we propose that the vacuum is an incompressible, zero-viscosity 4D fluid. In this ontology, a black hole is not a singularity of infinite density, but a macroscopic topological defect—a rapidly rotating cavitation vortex within the spatial continuum. The event horizon is reinterpreted mathematically and physically as an acoustic boundary where the local fluid flow velocity equals the phase velocity of vacuum phonons (the speed of light, c). Consequently, Hawking radiation is modeled as quantum turbulence and the acoustic shedding of micro-vortices at this shear-stress boundary. Because the superfluid retains a continuous phase memory (acting as a physical pilot-wave), the emitted acoustic radiation encodes the precise hydrodynamic history of the ingested matter. This continuous phase modulation ensures that no information is destroyed, thereby providing a strictly geometric and hydrodynamic resolution to the Information Paradox.