Primitive Constants and Closure-Forced Ratio Derivation

Central Claim Constants are not assigned values after interpretation. Primitive constants arise as closure-forced invariant ratios of derived coherence modes. In the most compact form: potential under closure manifests coherence; coherence differentiates into modes; invariant mode ratios become constants; constants stabilize laws. This disclosure report develops a primitive framework for deriving constants from first principles. The guiding claim is that constants are not primary numerical givens, symbolic coincidences, or parameters assigned after interpretation. Rather, constants arise when potential enters a closure condition, manifests coherence, differentiates into modes, and preserves ratios across the admissible transformations of the closure domain. A primitive constant is therefore defined as a closure-forced invariant ratio requiring no prior empirical constant. Compound constants arise later as lawful syntheses of primitive closure ratios and conversion invariants. The report introduces the derivation ladder, the closure-forced ratio theorem, the hierarchy of constants, and a no-numerology firewall intended to distinguish actual derivation from post hoc interpretation. Keywords closure; coherence; constants; invariant ratios; primitive constants; dimensionless constants; Unified Coherence Closure Framework; seed ontology; mathematical residues