Global Survival Geometry, Reduced Contraction, and True One-Parameter Bridge Viability in the Finite-Capacity Latency–Erasure Theory

We construct the first quantitative global viability analysis of the finite-capacity latency–erasure theory by coupling its strong-field shell benchmark corridor to its cosmological tensor corridor within a unified survival-geometry framework. Previous stages of the FCLET program established the rotating shell benchmark and detector-facing identifiability structure in the strong-field sector, the locked empirical tribunal for real-event confrontation, the shell–cosmology bridge, the microstate completion of the burden–latency–overwrite architecture, and the multi-messenger global judgment framework. What remained open was the first explicit quantitative test of whether the strong-field and cosmological benchmark branches admit a common global survival structure once written in coupled form. The present article provides that construction. The analysis proceeds in three exact stages. First, we define the reduced global corridor as the Cartesian compatibility product of the admissible strong-field interval and the admissible cosmological interval. We show that this reduced set is nonempty and physically nontrivial: the strong-field branch retains a non-null detector-facing spectral-deformation sector, while the cosmology branch retains a non-inert tensor corridor compatible with benchmark FCLET closure. Second, we construct the reduced contraction dynamics of this two-parameter survival region through an explicit area-normalized contraction functional , together with a benchmark robustness functional and a reduced falsification ladder distinguishing benchmark death, reduced retreat, and full reduced fracture. Third, we eliminate the residual independence of the reduced variables by constructing a continuous benchmark-anchored bridge law , thereby replacing reduced compatibility by a true one-parameter global survival set. The resulting one-parameter global corridor is shown to be nonempty under the minimal physical conditions of continuity and benchmark anchoring. For a linear benchmark bridge family, the true corridor length is obtained analytically, the true contraction functional is defined, and a new coupled failure mode appears: bridge-slope falsification, in which the strong-field and cosmological windows remain separately nonempty but no single continuous one-parameter FCLET continuation law survives both simultaneously. This yields the first explicit quantitative proof that the benchmark FCLET program is not merely branch-wise compatible, but globally viable at the first nontrivial continuous coupling level. The paper therefore does not add a new phenomenological sector. It does something more decisive. It converts the late-stage FCLET architecture into a quantitative global viability problem with explicit survival sets, contraction functionals, benchmark death conditions, and bridge-slope failure criteria. In this sense, Article 89 is the first mathematical global-survival paper of the FCLET program.