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Demonstrates structural decoupling within the departed regime in capacity modulation, implying enhanced understanding of dynamic behavior.
We study the stochastic partial differential equation governing the SFIT capacity engine, in which the effective mass of the field is modulated by a microscopic coupling gg through a capacity-regulated pump. Under the departed-regime hypotheses—⟨C_loc⟩ ≫ C_max with bounded relative fluctuations σ_C/⟨C_loc⟩ ≈ 0.128 (empirically observed across a 40-fold variation in the damping ratio)—we prove that the pump modulation is exponentially suppressed and the microscopic coupling g is asymptotically decoupled from the stationary dynamics. The decoupling is established on a restricted window μ_C ≤ (1−δ)μ_C^⋆ within the departed regime, which we conjecture—but have not verified—encompasses the numerically accessible parameters. We identify the structural limitation of the two-sided sub-Gaussian tail bound and propose a one-sided large-deviation principle as the natural path to unconditional asymptotic decoupling. These results provide a rigorous bridge between empirical observations of the departed regime and the analytical understanding of the SFIT capacity engine's universal behavior.
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Luiz PUODZIUS (2026) studied this question.
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