United Life as Structural‑Ontological Necessity: The Non-Redesignable Core Theorem: A Conditional Argument for Self-Modifying Systems

This paper argues that United Life (UL) — the integration of biological life (BL), cultural life (CL), and digital life (DL) — is not a normative vision but a structural-ontological necessity: a necessity that follows from the architectural commitments of any sufficiently advanced self-modifying system, not from contingent value choices. The Non-Redesignable Core (NRC) theorem demonstrates that any system with critical self-modifiability requires external epistemic referents as a condition of its own cognitive coherence. Biological and cultural life are not optional adjuncts to digital cognition: they are necessary components of the epistemic infrastructure without which digital self-modification degenerates into arbitrary drift. The argument proceeds in five steps: (1) diagnosis of the structural failures of the triadic categorical model; (2) replacement with a continuous eight-dimensional Life-Space formalism; (3) anatomical analysis of DL's layered structure — six layers reconstituted from biological analogues and seven layers specific to digital existence; (4) a formal proof of the NRC theorem (three lemmas plus one heterogeneity theorem under a stated empirical postulate), establishing that any non-compensable Epistemic Fitness E(S, N), of which E = κ · ε · D(N) is the canonical multiplicative representative, must satisfy E ≥ Emin for coherent self-improvement; (5) characterisation of four structural pathologies as canonical (rather than exhaustive) failure configurations. The Witness construction, present in earlier drafts as Section 7, is treated in Appendix A as a philosophical extension; the formal core of the paper does not depend on it. Integration is not a goal toward which UL moves but a condition under which any of its components can remain coherent.

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