Absolute Nothingness: Eliminability, Consistency, and the Structural Necessity of Differentiation

The concept of absolute nothingness—a state devoid of distinction, identity, relation, admissibility, or logical structure—has long been discussed in philosophy and cosmology, yet has resisted formal evaluation. In this work, we present a constraint-complete computational investigation testing whether a prelogical null can exist as a self-consistent fixed point. The simulation enforces maximal eliminability, explicitly forbidding physical laws, spacetime, causality, information, probability, observers, relations, identity, logical primitives, and even admissibility criteria themselves. We find that absolute nothingness is not closed under eliminability. Attempts to remove all structure result in unavoidable structural collapse and the forced emergence of minimal differentiation. The first non-eliminable constraint identified is consistency itself, which reappears as a primitive requirement for admissibility prior to logic, physics, or information. These results constitute a formal no-go theorem for absolute nothingness: any admissible system must contain at least one distinction. The findings place strong constraints on cosmological and metaphysical models invoking nothingness as an initial condition and suggest that existence, in its most minimal form, is structurally enforced rather than contingent.