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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 × 10^17 kg/m 3. 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 and we also demonstrate that the observed diameters of the shadows for M87* and Sagittarius A* are direct consequences of the model's rheological parameters. The calculation follows a deterministic 4-step path: Mass → V-Horizon → Lensing → Observed Diameter. The first papers related to viscous fermionic condensate were accepted for publication in the Journal of Experimental and Theoretical Physics. This work is a continuation of the previous ones.
Shlyapik A. 2026. A Rheological Approach to the Viscous Fermionic Vacuum Condensate. Part VI. Rheological Density Limits and Black Hole Shadows in the Viscous Condensate Model. PREPRINTS.RU. https://doi.org/10.24108/preprints-3116156
