CONSTANTS ONTOLOGY – Paper G THE LAW OF CONSTANT CLASSIFICATION Root Invariants, Structural Constants, and Emergent Parameters in the Ontology of Coherent Closure

This paper develops a law of constant classification within the ontology of coherent closure. Its central claim is that a quantity qualifies as universal only if it preserves an invariant closure relation across ontological regimes. Quantities that stabilize relations only within a field, scale, transition, cosmological model, biological system, or observational domain remain theoretically important, but they do not share the same ontological rank. They must therefore be classified according to scope rather than grouped indiscriminately under a single flat concept of “constant.” On this basis, the paper distinguishes root invariants, structural constants, reinterpreted physical constants, structural interface parameters, cosmological closure parameters, panspatial genesis parameters, domain-specific parameters, and correlation terms. Root invariants preserve the deepest conditions of coherent emergence. Structural constants govern recurrent architectures of stability, scaling, transition, and boundary formation. Standard physical constants are retained but reinterpreted as effective closure relations within projected physics. Higher-order parameters govern major regime interfaces, large-scale cosmological organization, and the conditions under which life-like closure emerges. The result is a law-governed architecture in which constants are ranked by the depth and range of the closure relation they preserve. This replaces the undifferentiated notion of a constant with a hierarchical theory of invariant-preserving relations. A constant is thus understood not merely as a fixed quantity, but as a signature of preserved coherence.