Alpha Is Not Null: Ground, Presence, and the Refutation of Nihilistic Emptiness Paper 68 of the NEMS Suite

Paper 64 established structural non-nullity: Alpha is primordial, not null. The present paper is a refinement and anti-misreading theorem using Papers 66–67. We separate, , , and as distinct predicates and prove that Alpha is object-empty but not null, not sterile, and not inert. This blocks the nihilistic interpretation of Alpha as sheer absence, the "passive backdrop" reading, and the sterility attack. Object-empty, null, semantically sterile, and inert are distinct predicates; the theorem denies the latter three, not the first. Paper 68 does not contradict Paper 64; it disambiguates and strengthens. Machine-checked in, reflexive-closure-lean. This overview presents the core NEMS theorem engine and selected applications; stronger domain-specific derivation and ontological synthesis claims belong to separate release surfaces with their own premise bundles and formal artifacts. Trust boundary. Non-sterility and non-inertness track existence of Alpha-manifestation (Paper 66) and the awareness-locus structure (Paper 67) ; see predicate definitions in the main text and.