ITU Tier 1+ #12: Cosmology (K_cosmo)

Tier 1+ Pass-1.5 paper 12 of 45. Operator-algebraic cosmology unifying LambdaCDM + DE + DM + CMB + inflation. Defines K_cosmo = -log ρ_cosmo as the operator-algebraic modular Hamiltonian on H_FRW ⊗ H_perturbation ⊗ H_dark_energy ⊗ H_dark_matter ⊗ H_CMB. K_cosmo inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Planck 2018 CMB, DESI 2024 BAO dark energy time-varying, JWST 2022 high-z galaxies, Hubble tension 73 vs 67 km/s/Mpc. Topics covered. Planck 2018, DESI 2024.4.4 dark-energy time variation hint, JWST high-z 'impossible' galaxies, Hubble tension, inflation Guth 1981. 45-vertex polytope #12 top couplings: #17 K_QG (0.92), #24 Math (0.92), #18 K_BH (0.92), #21 Stat (0.85). Ten falsifiable predictions: P_avg=0.65: arXiv 2026 (0.90 S), Hubble tension resolved 2027 (0.50 M), Dark energy time-varying confirmed 2028 (0.60 M). Pass-2 roadmap: ~$1.6M: Cosmo analytics ($500K) + Lean Mathlib ($200K) + Observational collab ($900K).