Holographic Stabilization of Macroscopic Einstein-Rosen Bridges via Resonant Acoustic Metrics in Bose-Einstein Condensates

We present a semiclassical framework for generating stable traversable wormhole geometries using the hydrodynamic analog of gravity in Bose-Einstein Condensates (BECs). By inducing a Squeezed Vacuum State via oscillating Feshbach resonances, we generate an effective acoustic metric with negative energy density regions. We suggest a possible evasion of standard 4D Quantum Energy Inequality (QEI) bounds within an open Braneworld framework. In this scenario, the acoustic horizon hypothetically couples to the 5D Bulk geometry, locking the effective phonon metric to the spacetime metric. This mechanism radiates the positive energy debt into the extra dimensions as Kaluza-Klein modes, leaving an effective macroscopic throat in the analog spacetime stabilized by the Casimir pressure of the superfluid vacuum.