Gravity as Acoustic Radiation Pressure: The Secondary Bjerknes Force in the Superfluid Vacuum

This paper derives Newtonian gravity as an emergent phenomenon arising from the Secondary Bjerknes Force between oscillating structures in a superfluid vacuum. Building on the analogue gravity programme of Unruh, Visser and Barceló, and the superfluid vacuum theory of Volovik, it shows that if matter consists of self-sustaining oscillations (oscillons) in a medium belonging to the ³He-A universality class, then gravitational attraction arises as acoustic radiation pressure between in-phase oscillators. The framework reproduces the inverse-square law as a geometric consequence of spherical wave propagation, renders the equivalence of inertial and gravitational mass tautological rather than coincidental, and resolves the vacuum catastrophe through the Gibbs–Duhem relation for a self-sustained condensate. The mathematical structure of General Relativity is preserved as the acoustic metric of the underlying hydrodynamics. Five falsifiable predictions are presented, several testable with existing data or near-term experiments. Open problems are acknowledged explicitly, including the phase-locking mechanism and absolute mass scale.