Is Dark Energy the Cost of Time? An Analytical Derivation of Ω_Λ = ln(2) from Information-Theoretic Constraints

 We propose a parameter-free derivation of the dark energy density ΩΛ by identifying observed vacuum energy as the
thermodynamic cost of quantum information resolution. The 10123 discrepancy between quantum field theory (QFT) and observation
is resolved by recognising that vacuum degrees of freedom are counted per Planck-area quantum event, not per unit volume. Each
of the N ≈ 2.266×10122 Planck-scale quantum resolution events across the cosmic horizon carries exactly one Landauer unit of
energy at the de Sitter temperature. The identity Ebit/EL = ΩΛ/ln(2) yields the analytical prediction ΩΛ = ln(2) ≈ 0.6931,
sitting 1.16σ from the Planck 2018 central value of 0.685 ± 0.007. The companion prediction Ωmatter = 1 − ln(2) ≈ 0.3069
sits 1.16σ from the measured 0.315 ± 0.007. Two independent, parameter-free predictions from a single framework, both within
current observational error bars. Falsifiable via Euclid, DESI, and the Rubin Observatory