Full Global Posterior Architecture, Derived-Bridge-Constrained Inference, and MCMC-Grade Survival Mapping in the Finite-Capacity Latency–Erasure Theory

We construct the full global posterior architecture of the late finite-capacity latency–erasure program by converting its bridge-hardened multi-arena tribunal into an explicit MCMC-grade inference framework. Earlier stages of the program established the reduced and true survival corridor, the Hubble interface, the imaging interface, the four-arena constitutional tribunal, the first populated numerical confrontation, the microphysical derivation of the shell–cosmology bridge coefficient , and the bridge-hardened deep survival test. What remained absent was the fully operational inference paper: the article that does not merely define survival sets, compression ratios, and deep falsification ladders in formal terms, but turns them into a unified posterior engine capable of mapping credible regions, likelihood ridges, bridge-induced compression, and decisive failure islands in the total late-program state space. The present paper provides that missing step. The paper proceeds in five stages. First, we define the bridge-hardened Bayesian state space and identify the exact parameter blocks to be sampled after microphysical reduction of the global shell–cosmology sector. Second, we construct the global likelihood and posterior measure across ringdown, PTA, Hubble, and imaging arenas, including corridor and bridge penalties as structural priors or hard constraints. Third, we introduce posterior-compression observables, survival-volume estimators, and ridge/failure diagnostics that convert the late tribunal into a full inference architecture. Fourth, we specify the MCMC-grade workflow, including proposal structure, constrained sampling on the derived bridge manifold, and convergence/stability criteria. Fifth, we define the global posterior verdict grammar of the mature FCLET program in terms of surviving posterior mass, compressed but viable ridges, bridge-induced exclusion regions, and decisive collapse islands. The result is decisive. The late FCLET program is no longer only a theory with arenas, tribunals, and bridge-hardened confrontation logic. It is now a full inference architecture. In this sense, Article 96 is the first paper that turns the mature FCLET superstructure into a complete global Bayesian survival machine.