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 Ωₘ and the quantum braking factor kₑarly. Unlike ΛCDM, where Ω_Λ = 1 - Ωₘ - Ωᵣ, the UAT framework predicts Ω_Λ = 1 - kₑarly (Ωₘ + Ωᵣ), introducing a dependence on the early-universe expansion rate. The analysis includes two sensitivity studies: Ω_Λ as a function of Ωₘ (0. 25–0. 40) with kₑarly = 0. 967 fixed. The UAT prediction is systematically higher than ΛCDM by approximately 0. 01, with the difference increasing as Ωₘ grows. Ω_Λ as a function of kₑarly (0. 950–0. 980) with Ωₘ = 0. 315 fixed. A variation of ±0. 01 in kₑarly 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 (κcrit = 4. 978), the quantum braking factor (kₑarly = 0. 967), the force metric (Rgeom = 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.
Miguel Percudani (Fri,) studied this question.