The Logical Demise of Gravitational Singularities: A Formal Critique of Black Hole Interior Models through Measure Collapse and Discrete Ontology

The gravitational singularity, though a mathematical consequence of General Relativity, presents an existential crisis for physical law. This paper provides a 16-point logical deconstruction of the singularity model, categorizing its failures into empirical, dynamical, instrumental, and ontological dimensions. We demonstrate that the mathematical limit r→0 represents a catastrophic failure of continuous calculus when applied to discrete quantum realities. Furthermore, we introduce the "Measure Collapse Paradox," proving that a zero-dimensional singularity cannot logically inherit the mass or angular momentum of its macroscopic progenitor. We conclude that black holes must be defined by physical boundaries, as the "singularity" is merely a computational artifact indicating the boundary of general relativity’s applicability.