Emergent Spatiotemporal Dynamics in a Pressurized Quantum Superfluid Vacuum

We propose a unified, scale-invariant geometric framework where physical space is modeled as a highly pressurized, inviscid quantum superfluid vacuum. Within this single underlying medium, the fundamental laws of Quantum Mechanics and General Relativity emerge as low-energy hydrodynamic limits. We mathematically demonstrate that the topological twisting of a 3D toroidal vortex yields the 720^∘ spatial rotation symmetry of spin-1/2 fermions (the Dirac Belt Trick). By analyzing phase perturbations, we derive Coulomb's Law from vortex phase-gradient coupling, gravity from background pressure gradients (Bernoulli drops), and the strong nuclear force from vortex core depletion. Furthermore, we show that this fluidic spacetime reproduces the 4D pseudo-Riemannian metric tensor gμν via the Unruh-Visser acoustic metric, establishing a direct dictionary between general relativity and non-relativistic fluid dynamics. On cosmological scales, flat galactic rotation curves and accelerated cosmic expansion are derived as emergent consequences of a rotating, self-dispersing vacuum medium, eliminating the need for dark matter and dark energy. Finally, we present falsifiable experimental protocols using Bose-Einstein Condensates (BECs) to empirically test these derivations on a laboratory bench.