This paper formalises scientific boundary events as relational inequality phenomena arising from mismatch between ontological constraint density and epistemic tolerance bandwidth. A Boundary Emergence Theorem is introduced, stating that modelling breakdown occurs when constraint density C(x) exceeds the tolerance T(M) of a modelling regime. The framework provides a domain-neutral account of singularities, divergences, and regime saturation without proposing new physical dynamics. Operational illustrations are provided from general relativity, quantum field theory, and information-theoretic compression. The account reframes singularity as compression instability rather than ontological termination.
Andrew John Paton (Sun,) studied this question.