Rheological Density Limit of the Sagittarius A* Black Hole in the Viscous Fermionic Condensate Model (OCEAN)

This paper proposes a solution to the singularity problem within the OCEAN model, where the vacuum is treated as a viscous fermionic condensate. It is established that the compression of matter is constrained by the rheological limit of the substrate. Based on the Shlyapik Threshold (7.76 keV) and the proton radius (0.841 fm), the limiting density of the Sagittarius A* black hole core is calculated to be ≈ 3.49 × 10¹⁷ kg/m³. It is demonstrated that the object is a stable soliton with a radius of ≈ 1800 km. The viscosity of the medium (η) at critical densities eliminates General Relativity (GR) infinities, replacing them with a hydrodynamic description of superdense media.