HYDRODYNAMIC-TOPOLOGICAL CONTINUUM: AN INTEGRATED ONTOLOGY OF EMERGENT STABILITY

Abstract

The reconciliation of general relativity with quantum field theory remains the premier open problem in theoretical physics, exemplified by the "vacuum catastrophe"—the 120-order-of-magnitude discrepancy between the calculated vacuum energy density and the observed cosmological constant—and the renormalization divergence inherent in point-particle theories. This manuscript proposes a coherent physical ontology by redefining the vacuum not as a geometric void populated by abstract fields, but as a continuous, torsion-bearing superfluid plenum conceptually isomorphic to the B-phase of helium-3. Within this framework, we posit that elementary particles emerge as stable topological solitons (skyrmions) within the order parameter of the condensate, quantum quantization arises from hydrodynamic attractor dynamics in the presence of turbulence, and gravity manifests as the thermodynamic pressure gradients of the underlying medium. We rigorously derive the Einstein field equations from the stress-energy tensor of this viscous fluid via Sakharov's induced gravity mechanism, identifying the gravitational constant $G$ with the inverse compressibility of the vacuum and the speed of light $c$ with the phononic speed of sound. Furthermore, we demonstrate that the "dark sector" is a natural consequence of the fluid's rheology: cosmic acceleration is driven by the bulk viscosity of the expanding plenum, while dark matter corresponds to halos of superfluid vortex filaments. This hydrodynamic-topological approach resolves the singularity and hierarchy problems, offering a falsifiable, materialist alternative to the geometric paradigm.