Completability

Being and genuine becoming are completability structures within a coherence structure — coherence being what both knowing and being are when attended to structurally. This paper shows that the order of coherence is not a third axis alongside knowing and being but what both are: their shared failure mode (incoherence; disintegration) reveals the same underlying structure. Completability is a structural property of transformation spaces, not a temporal property of processes. Three structurally distinct modes are characterized by the structure of their determination relation: graceful completion (energeia-actuality — organizing principle intrinsic to the thing, fully expressed, end internal, consequence supervening; substrate-independent, applying equally to crystals at maximal order and to proved mathematical theorems); terminal completion (gap exists, determination exhausted at an externally-given fixed point); and cyclical completion (gap exists, determination recurs without terminus). The ancient opposition between Parmenides and Heraclitus resolves: both correctly identified real structural features — deposited graceful completion and genuine becoming respectively — of the same cycle: genuine becoming deposits local graceful closures that radiate and enable new genuine becoming. A discriminating criterion for genuine becoming is provided (gap progressively closing vs. gap maintained at constant distance). The account is distinguished from Platonism structurally: it requires no ontological realm and no access relation, only composability facts that are locally falsifiable where Platonism is not. Consequences are sketched for post-modern relativism, ethics (including a reflexive completability criterion for moral relevance), and the relationship between actuality and possibility.