Paper 16: Provisional Definitions of the Parameters: An Inventory in Light of Inheritance Gaps and Representation Gaps

Paper 14 introduced a dynamical correspondence (α, β, γ, δ) for the four parameters m, c, η, ρᵢ, explicitly qualifying the correspondence as "functional, not formal." Paper 15 diagnosed two distinct discontinuities within this qualification: the η correspondence (α→η) as a candidate inheritance gap, and the absence of lnI as a representation-gap hypothesis. The present paper takes both diagnoses as its starting point and re-examines the primary sources from Paper 1 through Paper 14 in order to inventory the definitional status of six elements: m, c, η, ρᵢ, lnI, and Δ. The inventory finds that η's lineage across Papers 1, 3, 9, 10, and 13 can be reconstructed as a single selective function viewed from successively more specific angles, while Paper 14's α correspondence connects only to the earliest of these angles (noise exclusion) and does not re-engage the update to boundary permeability introduced in Paper 10. For lnI, no sufficient basis is found at present to settle its status as independent variable, dependent variable, or outside the scope of dynamical reduction; the paper's conclusion is to leave this status explicitly undetermined. The core definition of ρᵢ is found to be stable, but the specific content of its relation to lnI is treated as provisional pending lnI's resolution. This paper does not offer a settled glossary. It offers a dated snapshot, intended to make explicit the premises on which Paper 17 and subsequent applied work will proceed.