Emergent Spacetime and Superfluid Vacuum Dynamics

This document synthesizes four key papers concerning the ”Superfluid Vacuum Theory” (SVT). We present a rigorous theoretical framework that reinterprets the classical spacetime manifold as an emergent superfluid vacuum, physically realized as a Bose-Einstein Condensate (BEC) governed by the Logarithmic Schrödinger Equation (LogSE). This framework addresses persistent tensions in the standard CDM model, specifically the nature of Dark Energy, Dark Matter, the Hubble Tension, and the Core-Cusp problem. We demonstrate that the vacuum possesses a dual-phase structure: a homogeneous ground state (Phase A) driving cosmic acceleration and an inhomogeneous excited state (Phase B) manifesting as galactic dark matter halos. Furthermore, general relativistic black holes are reinterpreted as ”acoustic horizons” within this superfluid, offering a unified hydrodynamic solution to cosmological and astrophysical anomalies.