Abstract
<jats:p>This submission presents a qualitative analysis of the UAT/UCP framework's prediction for the vacuum energy density Ω_Λ as a function of the matter density parameter Ω_m and the quantum braking factor k_early. Unlike ΛCDM, where Ω_Λ = 1 - Ω_m - Ω_r, the UAT framework predicts Ω_Λ = 1 - k_early(Ω_m + Ω_r), introducing a dependence on the early-universe expansion rate. The analysis includes two sensitivity studies: Ω_Λ as a function of Ω_m (0.25–0.40) with k_early = 0.967 fixed. The UAT prediction is systematically higher than ΛCDM by approximately 0.01, with the difference increasing as Ω_m grows. Ω_Λ as a function of k_early (0.950–0.980) with Ω_m = 0.315 fixed. A variation of ±0.01 in k_early produces a shift of approximately ∓0.003 in Ω_Λ, indicating moderate sensitivity. The document also provides a reference table of the ten fundamental constants of the UAT/UCP framework, including the Ivancho limit (κ_crit = 4.978), the quantum braking factor (k_early = 0.967), the force metric (R_geom = 0.279182), the causal overflow (ε = 3.3%), and the thermal calibration margin (φ*/η = 7%). This is a qualitative reference document. It does not claim new physics, does not assert that the UAT prediction is correct, and does not claim that ΛCDM is incorrect. It provides reference values for future comparison with observational data from Stage IV surveys (Euclid, Roman, DESI-2), whose projected precision may be sufficient to distinguish between the two models. The package includes the LaTeX manuscript and the Python script that generates all tables and figures.</jats:p>