23-Apr-2026(V1.1): GDG-QG-Certificate-IX develops the next global stage of the Gamma-DG quantum-gravity program. This certificate studies whether the cumulative achievements established through Certificates I–VIII remain merely sequential structural layers or instead assemble into a structurally necessary global bridge architecture from the quantum-primitive layer to the spacetime-readable layer. In particular, it clarifies the notions of global structural necessity, global bridge architecture, and quantum–spacetime global unity within the Gamma-DG framework. Version 1.1 sharpens the structural claim of the certificate by clarifying that the program is no longer to be understood merely as a successful sequence of local or stagewise realizations, but as a globally necessary and unified bridge organization internal to Gamma-DG. At the same time, the scope of the claim remains disciplined: this version does not introduce an external principle of final physical completion, nor does it claim a final empirically fixed spacetime theory. In this sense, Certificate IX should be read as the stage at which the Gamma-DG quantum-gravity bridge acquires global structural necessity beyond merely cumulative or local success. 04-Apr-2026(V1.0): Ninth certificate in the Gamma-DG quantum-gravity program. This paper develops the next global stage of the program by clarifying when the cumulative achievements of Certificates I–VIII must be read not merely as sequential structural layers, but as components of a structurally necessary global bridge architecture from the quantum-primitive layer to the spacetime-readable layer. The central notions are global structural necessity, global bridge architecture, and quantum–spacetime global unity. The paper is formulated in a structurally disciplined manner: it does not claim a final empirically fixed spacetime theory, but isolates the internal Gamma-DG conditions under which the organized bridge acquires necessity-level global structural unity.
Yoshihito Kawanishi (2026) studied this question.