Kagen and Update′ — A Non-Modal Differentiation of Structural Non-Holding and Base

This paper introduces Kagen (可限) as an internal structural limit and fixes its non-connection to modal structures. Kagen is fixed as the condition under which fixation does not hold, without relation, duality, or externality. Modal structures, by contrast, are fixed as structures in which relation, duality, and externality are introduced. This paper does not compare, negate, or hierarchize these structures. Instead, it fixes their non-connection: no translation, mapping, or equivalence is introduced between Kagen and modal structures. Modal transformation of Kagen does not preserve Kagen. This text belongs to the Non-Modal Structural System and contributes to the Readable Configuration Series by fixing the non-translatability of structural non-holding.