From Genesis to Structure: Epsilon Asymmetry, Determinacy, and the Emergence of Order

This paper defends a conditional thesis: if origin-talk is to function as genuine metaphysical explanation rather than as a nominal stopping point, then pure absence is unavailable as explanatory origin. That result is established through the internal requirements of grounding discourse. A candidate origin must be contrastively specifiable as the ground in virtue of which the explanandum obtains; pure absence, understood as the absence of entities, relations, laws, distinctions, and all conditions of articulation, excludes the very resources such specifiability requires. An earlier argument established this through a trilemma. The present paper reconstructs the negative argument within a grounding-theoretic framework and asks what the thinnest admissible alternative would be. That alternative is epsilon asymmetry: the least ontological non-identity sufficient to break absolute indistinction and thereby make determinacy possible. The name signals both the minimality of the condition (epsilon for the nonzero threshold that approaches but never collapses into nullity) and its character (asymmetry for the directional distinction without which explanatory priority cannot be fixed). Epsilon asymmetry is introduced as a role-term: not a richly pre-described entity but a placeholder for whatever ontological minimum satisfies the threshold at which something can count as this rather than not-this. The circularity attending this introduction is diagnosed and constrained. From that threshold a sequential argument follows, bounded at every step. Once minimal non-identity obtains, determinacy is available in a contrastive sense. Once determinacy is available, the categorical prohibition on relational structure imposed by absolute indistinction is dissolved, though no specific relational ontology is derived. Once relational articulation is admissible, articulated order becomes a tractable target of further metaphysical inquiry rather than a category error at the point of origin. No finished cosmos is deduced; no empirical question is settled. The paper identifies the exact threshold at which explanatory origin-talk ceases to self-cancel and becomes structurally admissible.