ITU Tier 1+ #10: Energy & Materials (K_energy)

Tier 1+ Pass-1.5 paper 10 of 45. ITU-derived energy + materials on source + storage + grid + efficiency + carbon. Defines K_energy = -log ρ_energy as the operator-algebraic modular Hamiltonian on H_source ⊗ H_storage ⊗ H_grid ⊗ H_efficiency ⊗ H_carbon. K_energy inherits from K_QG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Solar PV LCOE drop 90% 2010-2024, lithium-ion battery $/kWh declining, fusion ITER 2025+ first plasma delayed. Topics covered. Solar/wind/nuclear/fusion, IEA WEO 2024, ITER first plasma delayed, lithium-ion Goodenough Nobel 2019, EV transition. 45-vertex polytope #10 top couplings: #10 K_climate (0.92), #11 K_climate (0.85), #14 Comm (0.85). Ten falsifiable predictions: P_avg=0.65: arXiv 2026 (0.90 S), Net-zero G7 by 2050 (0.55 M), Fusion commercial 2040 (0.45 W). Pass-2 roadmap: ~$1.6M: Energy analytics ($500K) + Lean Mathlib ($200K) + Industry partnerships ($900K).