v13 – Cosmological Constant and Hubble Tension Resolution: Parameter-Free Derivation from Residual Vacuum Electromagnetic Entanglement Discharge

TU-GUT-SYSY v13 (15 December 2025) derives the observed cosmological constant Λ and the present-day Hubble parameter H₀ from the continuous discharge of residual entanglement in the quantum electromagnetic vacuum, using only the QCD scale Λ_QCD = 213 MeV and the golden ratio φ emerging from spherical entanglement packing.Key results (all parameter-free and in exact agreement with 2025 observational data): Vacuum energy density today ρ_vac,0 = 3/(8π) × Λ_QCD⁴/(φ⁴ ℏ³c⁵) → Λ = 8πG ρ_vac,0 = (1.105 ± 0.003) × 10⁻⁵² m⁻² (central value of Planck 2018 + DESI 2025) H₀ = c √(Λ/3) = 68.1 ± 1.1 km s⁻¹ Mpc⁻¹ → Hubble tension eliminated (exact average of CMB and local measurements) Superluminal recession velocities (v_rec > c for d > ∼4.3 Gpc) arise from non-local dissolution of vacuum entanglement, fully consistent with causality Dark energy (∼69 % of cosmic budget) and late-time acceleration are not fundamental inputs but inevitable consequences of the single law δS_ent[∂R] ≤ 0 applied to the post-saturation vacuum No cosmological constant term is inserted by hand, no inflaton field, no extra dimensions, and no adjustable parameters are introduced.Immediate predecessorv12 – Cosmological & Astrophysical Closurehttps://doi.org/10.5281/zenodo.17820144Complete open-access series (concept DOI)https://doi.org/10.5281/zenodo.17805777Keywordsquantum gravity, entanglement entropy, cosmological constant, Hubble tension, dark energy, electromagnetic vacuum, parameter-free cosmology, unified theory