Primordial Tensor Modes, Early-Universe Saturation, and the Shell–Cosmology Bridge in the Finite-Capacity Latency–Erasure Theory

We construct the early-universe to strong-field bridge of the finite-capacity latency–erasure theory by unifying primordial tensor generation, horizon-scale freeze-out, and late-time compact-object shell formation within a single capacity-limited dynamical framework. Earlier articles of the program established the bounded-load ontology, the cosmological moderated-erasure branch, the primordial scalar sector associated with latency fluctuations, the detector-facing Kerr shell program, the direct event-level confrontation framework for rotating compact remnants, and the microstate completion of finite accessible capacity. What remained open was the missing bridge between the two ends of the theory: the early high-load universe and the late strong-field shell sector. The present paper builds that bridge explicitly. The central claim is exact. The same finite-capacity architecture that drives local saturation shells in compact remnants also governs the tensor sector of the early universe. In the primordial regime, the universe occupies a high-load state in which the effective latency background, burden fraction, and moderated-erasure source jointly determine tensor propagation, freeze-out, and spectral transfer. Primordial tensor modes are therefore not treated as external relics appended to the theory, nor as inflaton-sector leftovers borrowed from an unrelated framework. They arise from the same capacity-limited dynamical substrate that later produces strong-field shell formation when local load approaches saturation. The early universe and the compact-remnant shell sector are not parallel branches. They are two regime limits of a single burden-latency system. We derive the tensor perturbation equation on the FCLET cosmological background, identify the effective tensor transport and damping structure induced by the latency sector, and construct the primordial tensor power spectrum generated during the high-load freeze-out epoch. We then show that horizon-scale tensor freeze-out and compact-object shell onset are controlled by the same saturation logic expressed in different kinematic regimes: in cosmology through mode-exit and capacity-regulated freeze-out, and in strong fields through local burden accumulation and shell formation near the saturation threshold. This allows a direct shell–cosmology bridge to be written in terms of a common control hierarchy over load fraction, latency response, overwrite moderation, and effective transport. The result is a single tensor-to-shell continuity map across the full theory. In the strengthened benchmark branch, the common bridge object is made explicit through the universal saturation coordinate In the cosmological regime it is evaluated at horizon crossing, while in the strong-field branch it is evaluated locally, This is not a second function distinct from the latency map . It is the same logarithmic branch used in the background sector, now elevated to the role of universal saturation coordinate for the bridge. The suppression law is therefore explicit: The benchmark-unified closure fixes Hence the scalar–tensor saturation consistency relation becomes a numerical prediction map rather than a merely symbolic identity. In the nearly scale-invariant reference branch , one obtains the benchmark forecast Using the benchmark scalar input , the benchmark tensor displacement is therefore This numerical value belongs specifically to the benchmark reference branch. The full relation remains valid more generally, but the benchmark number must be read with that branch caveat attached. The paper also establishes the mathematical viability conditions of the FCLET tensor sector. We show that saturation in the early universe is not a ghost or gradient catastrophe, but a transport threshold. A positive-definite tensor sector is constructed with throughout the admissible high-load branch, while a low-load attractor enforces luminal tensor propagation as . The cosmological branch is then connected parametrically to the shell branch through descendant calibrations of the same local threshold family: with leading-order calibration about the benchmark point. The familiar strong-field benchmark point is therefore not an independent shell law; it is one calibrated descendant point on the same saturation-threshold family that cosmology reads through . The paper produces five main outputs. First, it derives the primordial tensor sector of FCLET in covariant and cosmological form. Second, it identifies the tensor freeze-out architecture in a capacity-limited early universe and obtains the corresponding primordial gravitational-wave spectrum. Third, it proves the ghost-free, gradient-stable, and low-load luminal viability of the tensor branch. Fourth, it derives the modified scalar–tensor saturation consistency relation that removes arbitrariness from tensor suppression. Fifth, it constructs the regime map connecting early-universe tensor saturation and late-time compact-object shell saturation, together with the transferred observational forecast linking CMB tensors, relic low-frequency structure, and strong-field shell descendants. The result is the first fully explicit early-universe and strong-field tensor bridge in the finite-capacity latency–erasure program.