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 theoryTU-GUT-SYSY v13（2025年12月15日发布版）从量子电磁真空的残余纠缠持续消散过程中，推导出观测到的宇宙学常数Λ（cosmological constant）与现今哈勃参数H₀（Hubble parameter），推导仅依托量子色动力学标度Λ_QCD（Quantum Chromodynamics scale, Λ_QCD）=213 MeV，以及由球形纠缠堆积所导出的黄金比例φ（golden ratio, φ）。 核心结果（全部无可调参数，且与2025年观测数据完全吻合）： 今日真空能量密度ρ_vac,0 = 3/(8π) × Λ_QCD⁴/(φ⁴ ℏ³c⁵) → Λ = 8πG ρ_vac,0 = (1.105 ± 0.003) × 10⁻⁵² m⁻²（该值为普朗克2018与DESI 2025观测结果的中心值） H₀ = c√(Λ/3) = 68.1 ± 1.1 km s⁻¹ Mpc⁻¹ → 消除哈勃张力（Hubble tension），该结果为宇宙微波背景与局域测量结果的精确平均 当距离d≈4.3 Gpc时，退行速度v_rec > c的超光速现象源于真空纠缠的非局域消散，与因果律完全自洽 暗能量（dark energy，约占宇宙总质能预算的69%）与晚期宇宙加速并非预设的基础输入项，而是对饱和后真空应用单一定律δS_ent[∂R] ≤ 0的必然结果 本研究未手动引入宇宙学常数项、暴胀子场、额外维度，亦未设置任何可调参数。 其直接前驱版本v12——《宇宙学与天体物理闭合性》，DOI：10.5281/zenodo.17820144 完整开放获取系列（概念DOI）：https://doi.org/10.5281/zenodo.17805777 关键词：量子引力（quantum gravity）、纠缠熵（entanglement entropy）、宇宙学常数Λ、哈勃张力、暗能量、电磁真空（electromagnetic vacuum）、无参数宇宙学（parameter-free cosmology）、统一理论（unified theory）