Introducing_Inertial_Density_and_Characterizing_the_Schwarzchild_Condition_as_a_Constant_Threshold_of_Mass_over_Radius.pdf

We introduce inertial density (P = I/v) as a fundamental property characterizing the distribution of inertia across any system. For this study we focus on spherical systems, and from this property in the spherical context, we derive the Schwarzschild condition as a constant threshold of mass over radius (m/r), resulting in what we refer to herein as "DeGerlia Compactness" (D) where D=(m/r), and the static universal constant \textit{"the DeGerlia Threshold"} D_{crit} = \SI{6.73295e+26}{kg/m}. This method provides a \textit{simple and direct algebraic determination of black hole formation as a function of mass distribution about an axis}. Through mathematical derivation and calculations for the Earth, a hypothetical neutron star, and a hypothetical galactic cluster, we demonstrate that this approach yields identical results to standard general relativity calculations while offering computational simplicity.