Appendix CTL — Category Theory and Dualbind

Appendix CTL records, as a structural boundary log, where the scope presupposed by Category Theory—objects, morphisms, functors, and natural transformations—and the scope presupposed by Dualbind—ontology, the observing subject, and layered structure—do not coincide. This text does not adopt, integrate, or justify Category Theory as the theoretical foundation of Dualbind, nor does it introduce new mathematical structures. Its purpose is to prevent misreadings driven by excessive analogy by explicitly marking the boundary conditions of scope. In Category Theory, internal content and ontological properties of objects are not questioned; what matters is the composability and preservation of structure. Dualbind, by contrast, explicitly posits the observing subject as non-negatable and arranges meaning and operation under that presupposition. The conclusion is intentionally non-conclusive: the difference is not competitive, but a boundary condition where the two scopes do not coincide. For correspondence: laboratory@dualbind.comLicense: CC BY 4.0