Founder-Irrelevance Science: An Axiomatic Impossibility Result on Identity-Dependent Admissibility Under Irreversibility

This paper introduces Founder-Irrelevance Science (FIT-Ω), an axiomatic impossibility result that excludes identity-dependent admissibility in irreversible systems. FIT-Ω operates at the selection layer, establishing a necessary-condition constraint: any system whose admissibility varies under counterfactual identity erasure is inadmissible by construction. The result is modal, non-probabilistic, and falsifiable by counterexample, with no sufficiency claims, design prescriptions, or empirical dependencies. The core construct—the Founder-Erasure operator (Φ_FE)—is a non-computable, counterfactual probe that removes identity queries from admissibility-relevant operations. If system admissibility changes under Φ_FE, identity is deemed a non-substitutable dependency, violating FIT-Ω. The paper distinguishes FIT-Ω from prior invariants by addressing a unique exclusion domain: identity as a structural anchor within systems claiming irreversible persistence. FIT-Ω provides a formal mechanism for identifying inadmissibility rooted in founder-referenced authority, symbolic identity substitution, or personal legitimacy anchors. It projects such configurations into refusal regions defined by the Universal Theory of Inadmissibility (UTI-Ω), reinforcing a principle of identity-agnostic persistence under irreversible execution.