Black Hole Core calculation, three cases results.

This work presents the calculation of a finite black hole core using the Smooth Uncertainty Regulator (SUR).Standard models of general relativity, when extrapolated, lead to singularities and infinite densities.Here, two independent methods are demonstrated: Method A (full calculation): the core is determined from a universal vacuum energy density , calibrated on the black hole Sagittarius A*. This yields the explicit formula r_{\rm core}(M) = \left( \tfrac{3 M c^2}{4 \pi \rho_{\rm vac}} \right)^{1/3}, Method B (fast estimate): uses the scaling with a calibration constant derived from Sgr A*. Both methods give consistent results. Calculations were performed for three black holes (Sgr A*, M87*, Cosmic Horseshoe) and show a universal scaling law: r_{\rm core} \sim M^{1/3}, \qquad \frac{r_{\rm core}}{r_s} \sim M^{-2/3}, Supplementary information:The work provides a table of physical constants and inputs, a definition of the “immersion depth” , a derivation of the chosen vacuum density , and a step-by-step worked example for Sgr A*. This ensures full reproducibility of the calculation. This approach shows that by accepting infinity as a regulatable element (rather than an error), one obtains a physically consistent and falsifiable model of the black hole core. Marek Ligocký, August 31, 2025